id string | image_1 string | image_2 string | image_3 string | image_4 string | image_5 string | question string | options list | answer string | knowledge-source string | course string |
|---|---|---|---|---|---|---|---|---|---|---|
49831259-1_14 | iVBORw0KGgoAAAANSUhEUgAAAVYAAAGdCAIAAADG4syjAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydd1wURxvHd3b3OkevioqKhRgUbNh7b28sMZZYItYY7LHH3ksUe6+xxViwxxaN2EVURARRREEBqdfvdnfm/WOSe3mJQaQdB/P9vJ83wt3uznI3v33mmacAhBBFIBDKKrSlB0AgECyJVUoAQogYLwRCoWB9EoAQ4jju1atXRAUIhIJjfRIgCMKtW7emT5/OcZylx0IgWD1WJgEIIa1We/To0fv37ycmJhJDgEAoINYn... | null | null | null | null | As <image_1>shown in the figure, a sufficiently large baffle is fixed in the planar rectangular coordinate system xOy. The included angle between the baffle and the negative direction of the y-axis is $\alpha = 30^\circ$. The x and y-axes intersect at points P and Q respectively. The length of $OP$is $l$, there is a sm... | null | \sqrt{3}l | 电磁学_电磁感应 | phy |
49831251-1_9 | iVBORw0KGgoAAAANSUhEUgAAAUcAAADkCAIAAACE1HHIAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dZ1wUV9vG58xsbyx1abu0XTr2buy9PulVkxh7iSW9PYmmaCyxJyYmpmlMTNOoiYoK2EBsSBdB6SAdtu/OzDnvh014fBERDLC7cP5f/LlzdrhnZ6457Tr3AQghAoPBdCFIeweAwWDaGaxqDKargVWNwXQ1sKoxmK4GVjUG09XAqsZguhpY1RgHxrGnXRFCEMJ7zg23pkz70ipVI4Roq5Vl2ZaDY1mWpun2i6390ev1... | null | null | null | null | Magnetic focusing technology is often used in high-tech instruments such as electronic lenses. As <image_1>shown in the figure, the center of a semicircle with radius of\( R \) is\( O \),\( AC \) is the diameter,\( E \) is the midpoint of\( AO \), and\( F \) is the midpoint of\( OC \). There is no magnetic field in the... | [
"The convergence point of magnetic focusing is the\\( A \\) point",
"To achieve magnetic focusing, the magnetic induction strength must be\\( B = \\frac{mv}{eR} \\)",
"The electrons passing through the\\( E \\) point reach the convergence point after moving\\( \\frac{4\\pi R}{3v} \\) in the magnetic field",
"... | AB | 电磁学_电磁感应 | phy |
49831251-1_12 | iVBORw0KGgoAAAANSUhEUgAAAXYAAADJCAIAAAC4144mAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd3gU1frHz5mZ7S3ZtE02u6kQQgkQSKihVwtdUNQr1WvBDnrViyLee/0pKl4LeqUJAgIK0nsNJZTQCWmElE02ZVO3ZOvM+f0xGGM6m92U5XyeRx92ZrLvu7sz3znznve8L0QIAQwGg3EPRHs7gMFgPBksMRgMxo1gicFgMG4ESwwGg3EjWGIwGIwbodrbAUxnxWKxVFZW1sxIIoSEQqFMJoMQtrdrHRqapnU6Hfu9... | null | null | null | null | As <image_1>shown in the figure, the voltage between two parallel metal plates placed vertically at a spacing of\( d \) is\( U \). There are uniform magnetic fields perpendicular to the paper in the I and II areas on the right side of the plate. The magnetic induction strengths are\( B_0 \) and\( kB_0 \) respectively. ... | [
"Particles move counterclockwise in the magnetic field of region I",
"When\\( U < \\frac{d^2q B_0^2}{m} \\), particles will not enter the uniform magnetic field of region II",
"If\\( U = \\frac{2d^2q B_0^2}{m} \\) and\\( k = 2\\sqrt{3} + 3 \\), the particle can return to its starting point\\( O \\)",
"The min... | ACD | 电磁学_电磁感应 | phy |
51011475-1_1-02 | iVBORw0KGgoAAAANSUhEUgAAASwAAACPCAIAAADP4HHWAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd0AUx/fAZ/Yaxx1H7x1EmjRBETRqNGLvLZYoxhh7IRpL7PkaTaxRouZnSdTYWxRFjAEVC4KICIgoCIpw9HKVq7vz+2OTCwHUkzsEzH7+grndmXd783Zm3rx5DyKEAAUFReuBtbYAFBT/dSglpKBoZSglpKBoZSglpKBoZSglpPgXpKEOIdTAYvfmfyl0gd7aAlC0Ie7fv//kyROlUsnhcHr16uXg4KD5KDU1NTs7... | null | null | null | null | As <image_1>shown in the figure, the horizontal conveyor belt rotates clockwise at a constant rate of\( v_0 \), a rectangular uniform magnetic field area\( MNPQ \) with a width of\( 4L \) and high enough, with a magnetic induction intensity of\( B \), and the direction is vertical to the paper and inward, and the lower... | null | \[ F_{f1} = \mu (mg + F_{ab}) = \frac{mv_0^2}{2L} + \frac{B^2v_0^3x}{2gR} \quad (0 \leq x \leq 3L) \]
\[ F_{f2} = \mu mg = \frac{mv_0^2}{2l} \quad (3L < x \leq 4L) \]
\[ F_{f3} = \mu (mg - F_{ab}') = \frac{mv_0^2}{2L} - \frac{B^2v_0^3(7L - x)}{2gR} \quad (4L < x \leq 7L) \] | 电磁学_电磁感应 | phy |
51011475-1_3-3 | iVBORw0KGgoAAAANSUhEUgAAAnwAAADPCAIAAADgTpvzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOzddXgURxsA8Jndc4m7uxI3IliQ4O7uUIoXLxRquLvTUiguxV0SSIInJASJEeKu53c73x8XKP1KKYRLTjq/pw+FS27vnVt5d3Zn34EIIYBhGIZhWOMj1B0AhmEYhv1X4KSLYRiGYU0EJ10MwzAMayI46WIYhmFYE8FJF8MwDMOaCE66GIZhGNZEcNL9MIFA8OrF8/KyMvxIFYZhGKYqOOl+WOrT5PWrViTciZPJZOqO... | null | null | null | null | As shown in the figure<image_1>, two smooth parallel arc-shaped guide rails are placed vertically, and the lower ends are smoothly connected to two smooth parallel horizontal guide rails with a spacing of\( L \). The horizontal guide rails that are long enough are all in a vertically downward uniform magnetic field, an... | null | \[ \frac{5}{8}mgh \] | 电磁学_电磁感应 | phy |
51011475-1_8 | iVBORw0KGgoAAAANSUhEUgAAAhMAAACxCAIAAADxiqi/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydd3xURdeAz5m7m14g2WTTICQbOkhHeu9FilQV+VBUUFHsXawo8NKsiAWkdwRBpPfeW4AklEB6Qnrd3Tvn++Nuks3uJrTdG4j3eX35wZy5e8/MnT7nzCARgYKCgoKCwl3DKlsBBQUFBYVHDKXnUFBQUFC4N5SeQ0FBQUHh3lB6DgUFBQWFe0PpORQUFBQU7g2l51BQUFBQuDeUnkNBQUFB4d5Qeg4FBQUFhXtD6TkU... | null | null | null | null | An experimental team designed an electric car to study electromagnetic drives. The principle is that the in-wheel motor forms a rotating magnetic field by controlling the energization sequence and time of the stator windings, and drives the rotor windings to drive the contour wheel to rotate. The simplified model is sh... | null | \[ \frac{Blvt_1}{2R} + \frac{mat_1}{2Bl} - \frac{m^2aR}{8B^3l^3} \] | 电磁学_电磁感应 | phy |
51011474-1_3-2 | iVBORw0KGgoAAAANSUhEUgAAAVMAAAERCAIAAABJudNEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydd1gU19fHZ2Z3Z7bSO1IsCBoLsUYRjb3XaIwmsZcYa0yMXVEQe+y9REmMicYCqEGNNZbYY6EIdgFpywJbp9x73z8mP8JrQYRtwnweHx9Zd+eeHeZ7yzn3noMjhDABAYEqBmFrAwQEBGyAoHwBgaqIoHwBgaqIoHwBgaqIoHwBgaqIoHwBgaqIoHwBgaqIoHwBgaqIoHwBgaqIoHwBgaqIoHwBgaqIoHwBgaqIoHwB... | null | null | null | null | As <image_1>shown in the figure, a square wire frame connected to a constant current source has side length of\(\sqrt{2}L\), mass\(m\), and resistance\(R\), and is placed on a smooth horizontal ground. The wire frame part is in a uniform magnetic field with vertical ground downward and magnetic induction intensity of\(... | null | 0 | 电磁学_电磁感应 | phy |
50991178-1_1-1 | iVBORw0KGgoAAAANSUhEUgAAAJMAAACxCAIAAABP4xh/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAATEElEQVR4nO2de0xUR/vHnXN2l4UFCizgbRFEBEGLWqqWWo1tVFpTrVpqq4mJWmtJk7aSmEbTGuM/taamUaO1F22bGq2K9UZFtGitQaWtQpGLongBuchlQdjruc38/njS89uiL++ew3lZl53PX4TZZ86c8z0z88zMM3MQIWQQxQ9hfF0Aikqocr6HEKKi5dP9bwpD8QpJkh48eOB2uzs7O9PT0w0Gg/e2tM75mKtXry5dunTHjh0M... | iVBORw0KGgoAAAANSUhEUgAAALEAAADACAIAAADENRX2AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAdjUlEQVR4nO2deVgUV/b3u6p6g2ZtFtkUBBFRcF8QBhWEGTWPW3SMu3FLokYz6kQjUWfUJBNN4uBCXBIxRM0TDTFGH8ckGok4Bo2C4kocFllEBLpZuoHu2u77x81bv06hpKlqim69n7+0u+9C1bfucurcczAAgAyBsADv7A4g7A6kCQQfpAkEH6QJBB+kCQQfpAkEH6QJBB+5xO1x5hAMw7gPWZZlWdbyW5lMhuM4hmE4jlQrNZ2g... | null | null | null | In <image_1>the square plane\( Oabc \) shown in Figure A, there is a uniform magnetic field perpendicular to the plane, and the variation law of magnetic induction intensity is shown in Figure B<image_2>. A particle with mass\( m \) and charge\( +q \)(not counting gravity) is injected into the magnetic field parallel t... | null | \[ qB_0Lnm (n=2, 4, 6, \cdots) \] | 电磁学_电磁感应 | phy |
50991178-1_4 | iVBORw0KGgoAAAANSUhEUgAAAJMAAAB9CAIAAAApycawAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAIgElEQVR4nO3dX0gUXR/A8T0z+1c0dTVJ+rNmZm1YaavJgkUgit6okEiFFGSERDd2oQRddFF0VxBFCAWKaxlhRFopKWphbVmxRmomKpiuSbqV7urszsw5z8Xx2Sfq4X3e3DE7u7/PReRudQ59PTNnxoVBhBAVYBC30hMASwTlWAXlWAXlWAXlWAXlWAXlWLWM5SRJWlhYgOvFZRJoOUIIxtifh35Jfz8zM/PixQsot0wCLTczM9Pa... | iVBORw0KGgoAAAANSUhEUgAAAOQAAAC3CAIAAACNL2WDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2deVxUVf/H5947GwwwMMO+KWDgQu6JUCoq7rhrlvlQmaGV+mi5pNlPH3OtxzJ8UjNcSnMLRUMBtzBBcQERZJFdYGDYBwaY9S6/P87vub95gaHMGYSJ8/5LZ+Dwved+7rnnfM/5fr8YwzAcBMIcwLvaAATiRUFiRZgNSKwIswGJFWE2ILEizAYkVoTZgMSKMBuQWBFmAxIrwmzgdrUBHA6Hw/wXDoeDYRj4EMMw9t8I... | iVBORw0KGgoAAAANSUhEUgAAANcAAAC0CAIAAACIfy4WAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2deVhTV/rHuTcbCSQB2RdRFtlEEUVxRalFFKy1brVat47t03Yeq7bTzlC7znSx1VJrR60dp2q1ioPa4oKICAgWC4gCAiJb2JQ9hOzLvff8/ji/3icPKiTchEC4nz/6VBIOJyffe8573vO+70EAADY0NBYFtXQHaGhoFdIMA2gV0lgeWoU0lodWIY3loVVIY3loFdJYHlqFNJaHViGN5WFa5K+CP7GxsUEQpM+rKEo/... | null | null | As shown in Figure A<image_1>, there are changing electric fields and changing magnetic fields in the\( xOy \) plane. The change rules are as shown in Figures B <image_2>and C<image_3>. The positive direction of magnetic induction intensity is perpendicular to the paper and inward, and the positive direction of electri... | null | \[ \left( \frac{\sqrt{3}}{2} + \frac{\sqrt{2}}{2\pi} + \frac{1}{2\pi} \right) v_0 t_0 \] | 电磁学_电磁感应 | phy |
50991178-1_7 | iVBORw0KGgoAAAANSUhEUgAAAR0AAACWCAIAAABsCMuDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2deVwTV9f4M0lYQ9gJYZEAguwiBGUpoqJWRKkKgtVaRautS+ujdX3Vumu12to+tu6idRfRIu5IVdwQZF9ECEgIWwiBAFkIWWbeP+7vl0/eiDbAJAQ7378mmblnTpYz995zzzkXQhAEh4GBgSr4gVYAA+MjBLMrDAz0wewKAwN9MLvCwEAfzK4wMNAHsyttUFJS8s033/j6+h46dEgoFOJwuO7ubgsLi9zc3IFWDUMj... | null | null | null | null | <image_1>In the area of the spatial coordinate system $x<0$, there is a vertically upward uniform strong electric field $E_1$, and in the square areas $CDEF$in the first and fourth quadrants, there are orthogonal uniform strong electric fields $E_2$and uniform magnetic fields $B$with the directions shown in the figure.... | null | 0<B<16\pi v_0/5qL \quad \text{or} \quad B>16\pi v_0/3qL | 电磁学_电磁感应 | phy |
50267664-1_9 | iVBORw0KGgoAAAANSUhEUgAAAUkAAAE1CAIAAADlCIVFAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO3deXwV1d0/8O85Z+ZuudluEgg7ITahGmRHIorWhZ+CUkDlaX2ettb15/Oqtlrb2lZ9tCi2xedV22q1Iv7E3apFUdxYFDVgQNYgIJskrNmTu8+dOef7+2OSm8sismnuHb7vP3zJ3XLmzPnMOXPmzL0MEYEQ4ji8uwtACPlGULYJcSbKNiHORNkmxJko24Q4E2WbEGeibBPiTJRtQpxJO/a32GtdGAACsJRHkthJKRkh... | null | null | null | null | As <image_1>shown in the figure, a positively charged ball with a charge of $q$is suspended below the non-extensible light thin wire, and the other end is fixed at the point $O$. There is a nail $N$somewhere to the left of the point $O $. There is a vertical uniform strong field $E$above the straight line $ON$. At the ... | null | \frac{11mg}{12q} \leq E < \frac{11mg}{4q} | 电磁学_静电场 | phy |
50267664-1_10 | iVBORw0KGgoAAAANSUhEUgAAAdcAAADhCAIAAAAVsmiSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOy9eZwdV3Xv+1t7qKoz9qjullrz6EG2PGBsIxtCbGMz2MxDLvcluWF4F3LzyAvhwwuEQG7eg+S9fPiEe0kCIWFIcO7FDAbigdixIDI2tvEk41G2bM1jS92nz1TD3mu9P0qSZdmW1G6p3Vzq++lP67TOOVW76uzzq1Vrr4FEBAUFBQUFLxPq5R5AQUFBwa80hQoXFBQUvJwUKlxQUFDwclKocEFBQcHLSaHCBQUFBS8n... | null | null | null | null | As shown in the figure<image_1>, the smooth insulated horizontal desktop is located in a uniform electric field horizontally to the right bounded by $ab$and $cd$, and the electric field direction is perpendicular to the boundary. Two small balls A and B are placed on the table, and their positions are connected paralle... | null | 10 | 电磁学_静电场 | phy |
50267664-1_3-2 | iVBORw0KGgoAAAANSUhEUgAAAPYAAADLCAIAAADSlPnsAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dZ0ATSRvHd5MQepcqvfdeBOmKBUTBir13LGe7s56e7Szv2e/svYsVO2JXEKRKExCk956e3Z33QxS9JGAjQXLz+wTZ2Zlndv/z7OzM7DMoAACBQCQXUlcbAIGIFihxiIQDJQ6RcKDEIRIOlDhEwqF8KQHfeAsqQlsgEBHwRYlDTUO6N1+UOKSTAQAAAOpqawry8hrq6pVUlE3NLbS1tckUeC9EArys4qaivOz4oYMx... | null | null | null | null | As <image_1>shown in the figure, in the vertical plane, one end of a lightweight insulating thin wire with a length of $L$is tied to the point of $O$, and the other end is connected to a small ball with positive charge. The mass of the small ball is $m$and the amount of charge it carries is $q$. There is a uniform stro... | [
"At the moment before the thin line breaks, the speed of the small ball is $\\sqrt{2\\sqrt{2}gL}$, and the direction is vertical downward",
"The moment before the thread breaks, the tensile force of the thread is $2\\sqrt{2}mg$",
"After the thin line broke, the ball took a time of $2\\sqrt{\\frac{\\sqrt{2}L}{g}... | C | 电磁学_静电场 | phy |
50267664-1_3-5 | iVBORw0KGgoAAAANSUhEUgAAATcAAADDCAIAAABoNMHeAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd1wTSRvHdzadkIQSuvQqHRU7InbF3ns9u556r5717L2c9fTsvffee0dRUHqRXhMIKZC6O+8fqxwiWAkJsN/PnR+d3Z15drO/nZlnZp4BEEKEpOoofZ4AgNK/4xgmlUplUqlMJlMo5GqVSqVSYTiOIAhAECqVSqczGCwmi8Visw25XC6TxQIAlM2WyK1cIkkdgaprA2oVEEJ5iTw5KTH1Q1LKhw8ZaamZaWk5uTlC... | null | null | null | null | As <image_1>shown in the figure, there is a homogeneous electric field in a circular area with a radius of $R$. A charged particle with a mass of $m$and a charge of $q$enters the electric field from the point of $A$at an initial velocity of $v_0$. The direction forms a $60^\circ$angle to the diameter of $AB$. The veloc... | [
"The electric field strength is $\\frac{mv_0^2}{qR}$",
"If the velocity of the particle enters the electric field perpendicular to the direction of the electric field, in order for the particle to still exit the electric field from the point $B$, the initial kinetic energy of the particle is $\\frac{3}{4}mv_0^2$"... | ABD | 电磁学_静电场 | phy |
50267664-1_3-7 | iVBORw0KGgoAAAANSUhEUgAAARwAAADeCAIAAABgwSi8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd1zT1/7/88negyTsoUwRqIICFhTkIirOqrWOumrd1lGt9tpaq7ZX62291Z+tbXG2amurxVHFUbXuBTJdiMgSQiBkQOZn/v4496Z81VolCSHh8/zDB8Rw8v58cl6f8z7v8z7vAxEEQSEhIbEfVGcbQELibpCiIiGxM6SoSEjsDCkqEhI7Q4qKhMTOkKIiIbEzpKhISOwMKSoSEjtDioqExM6QoiLpXBAEodFoEARx... | null | null | null | null | As shown in the figure<image_1>, in the vertical plane, there is a uniform electric field with a field strength of $E=1\times 10^4 \, \text{N/C}$. In a uniform electric field, there is an insulating thin wire with a length of $L=2\, \text{m}$. One end is fixed at the $O$point, and the other end is a charged small ball ... | [
"Charge amount of the ball $q=5\\times 10^{-5} \\, \\text{C}$",
"When the ball moves to the highest point on the circular trajectory, the sum of kinetic energy and potential energy is minimum",
"When the ball moves to the lowest point on the circular trajectory, the sum of gravitational potential energy and ele... | BD | 电磁学_静电场 | phy |
50267664-1_3-9 | iVBORw0KGgoAAAANSUhEUgAAANUAAAC5CAIAAAAwFO31AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd5wV1fn/nzP1lr3bCyzb2AYsZemgYkWaIgQxSiCJ5at+MVFJxERJ05jEaPwaVH5RTCIKRgLSdAniIhYiisjiUmQpyxbY3svtM3PO8/tjYFkRYdly7wzc9+vlS507e+e5M585zznPec5zCCJCiBBBggu2ASEua0L6CxFMhC6c0+GgSd/aEuLyoyv6M6LsENHlctXU1Hi93n79+iUkJATboj6HMaYoitPpbGtrs9ls... | null | null | null | null | There is a regular hexagonal area $abcdhf$in the uniform electric field, and the electric field lines are parallel to the plane where the hexagon is located, as <image_1>shown in the figure. It is known that the potentials of the three points $a$,$b$, and $h$are $7V$,$11V$, and $-5V$respectively. Particles with a charg... | [
"particles are negatively charged",
"Particles can exit the area through the vertices of the regular hexagon",
"The kinetic energy of the particle when it passes through the $f$point is $4eV$",
"The minimum kinetic energy of a particle after being emitted in the direction of $bd$is $4eV$"
] | ACD | 电磁学_静电场 | phy |
50267664-1_3-14 | iVBORw0KGgoAAAANSUhEUgAAARYAAAEXCAIAAADnc/y9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd1hT1xvHz01IIBCmMhQUHCjiQnBbcW+to3XUtlb7WGxrq7biQEF9UNEWK7gnrh+K1tGCoshSRpGNA0Vkyl5hhBHIuPf3x8UYIQkj6yb3fB7+SM66b0K+95z7nnPeg2AYBiAQSHehqNoACES9gRKCQGQCSggCkQkoIQhEJqCEIBCZ0FK1AfIBRdFTp05FR0fn5ubq6+vb2tqeO3eOQoE3CEgH3L17959//ikoKOBy... | null | null | null | null | An electronic deflection instrument consists of a cubic space $OABC-O_1A_1B_1C_1$with a side length of $L$, as <image_1>shown in the figure. The electron emitter is located at the midpoint $M$of the top $A_1O_1$and can uniformly emit electrons at a rate of $v$into all directions in the $O_1A_1B_1C_1$plane. Two large me... | null | W = 2mv^2 \quad (0^\circ \leq \theta < 30^\circ) \, W = \frac{mv^2}{2\sin^2\theta} \quad (30^\circ \leq \theta \leq 90^\circ) | 电磁学_静电场 | phy |
50267664-1_3-15 | iVBORw0KGgoAAAANSUhEUgAAAYIAAADtCAIAAAA9TeXlAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydd3wU1drHn3Ombk/f9ITQErogCAKCFAURFQFfES8KCIjl6pWLWOBaUcTCpYiIiIgKSLGgCAJKUbhIkyIdJCGF9GT77sycc94/BmIMiJSwCcl+P8oHZnd2zu7M/OY8z3kKYoxBiBAhQtQcuKYHECJEiPpOSIZChAhRw4RkKESIEDVMSIZChAhRw4RkKESIEDVMSIZChAhRw4RkKESIEDVMSIZChAhRw4RkKESIEDVM... | null | null | null | null | It is known that there is a particle source $M$immediately on the left side of the vertical plate, which can emit positive ions with an initial velocity of zero, a charge amount of $q=1.6\times 10^{-5}C$, and a mass of $m=3.2\times 10^{-11}kg$. There is a small hole in the middle of the vertical plate on the right side... | null | y = -\frac{5}{4}x^2 + \frac{7}{80} | 电磁学_静电场 | phy |
52219982-1_8 | iVBORw0KGgoAAAANSUhEUgAAAKsAAACVCAIAAACo+p2TAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAdAklEQVR4nO2deVSTV/64SUJIgIQQAgRCEkwgJCSYkMgaRUQQkc2KC+JYe2or2s7oae3xdJzTzqm1Y6dHnePUGetoVZgOFcYiCAqiyObCJsqmISwJyL4atiRke39/3O/hx3GhgETtvO/zB4c373aT97n3vfe+935eFARBFggwBv2mE4DwhkEMgDuIAXAHMQDuIAbAHcQAuIMYAHcQA+AOYgDcQQyAO4gBcAcxAO4gBsAdxAC4gxgA... | null | null | null | null | As <image_1>shown in the figure, the mobile phone with a mass of $m$is resting on the inclined surface of the support. The angle between the inclined surface and the horizontal plane is $\theta$, the dynamic friction coefficient between the mobile phone and the contact surface is $\mu$, and the gravitational accelerati... | [
"If the bracket is stationary, the friction force between the bracket's inclined surface and the mobile phone is $\\mu mg\\cos\\theta$, and the direction is upward along the inclined surface.",
"The handheld bracket uniformly accelerates upward and moves in a straight line and there is no relative sliding between... | D | 力学_牛顿运动定律 | phy |
52396597-1_4 | iVBORw0KGgoAAAANSUhEUgAAAPsAAAC9CAIAAAD6EZyAAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd3xVVbr319prl9NzkpNCOiC9I1WqdLAwog6WUccRnKZe5WW8lvHOtcx1vDPj2EYcdZhRcQALCgx6BQQZQHoxlNASSCO9nJy+y1rP+8cOmZgETSAnOZvs78ePytmbvdfZ+3ee9axnPetZGACQiUm3ge/qBlxRUEoRQhzHYYy7ui0mrcN1dQOuHCiltbW1hw8dikQiXd0Wk4tiKr7DiEQiq1eufO6ZZ0KhUFe3xeSi... | null | null | null | null | In recent years, my country's new energy vehicle production has shown explosive growth. China's new energy vehicle production and sales have ranked first in the world for nine consecutive years. The change of instantaneous speed over time of a new energy vehicle during the experimental testing phase is <image_1>shown i... | [
"The power is constant during the first 8 seconds of car movement",
"The maximum traction force of the car is 700N",
"The traction work done by the car during uniform acceleration is $2.24\\times 10^4$ J",
"The displacement of the vehicle within 8s to 18s is 95.5 m"
] | D | 力学_机械能及其守恒定律 | phy |
50502516-1_2 | iVBORw0KGgoAAAANSUhEUgAAANgAAACBCAIAAAAtw+OFAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAfdklEQVR4nO2dd1wTyfvHdzchkSIgB4p0EJEupxwgdsSCAspZzwp2TwXLYcGzi3h6KmKvP7GhUhSwiweKp6LYOwIiSpMWAgnJlpnfH6v5coBCMIEY9/3HvY51s/M8u5+d3Zmd+QwKIUQYGFoarKUDYGBAGCEyKAqMEBkUAnaTfgURBEWQmi+XqMwiYvghaZoQ0Rr/ZWCQAcyjmUEhaFqNyFA/EEKSJGtuwTAMwzAUZZ4eDcAIUZYI... | null | null | null | null | <image_1>Two smooth parallel long straight guide rails, with a spacing of $d$, are fixed on the horizontal plane, and a uniform magnetic field with a magnetic induction strength of $B$is perpendicular to the guide rail plane. Two conductor bars $L_1$and $L_2$with a mass of $m$and a resistance of $r$are placed verticall... | [
"The conductor bar $L_1$will move in a straight line with uniform deceleration",
"The speed of the conductor bar $L_2$gradually decreases to $0.5v_0$, and the Joule heat generated by $L_2$during this process is $\\frac{3mv_0^2}{8}$",
"When the speed of conductor bar $L_1$is increased to $0.5v_0$, the potential ... | D | 电磁学_电磁感应 | phy |
51349376-1_3 | iVBORw0KGgoAAAANSUhEUgAAATUAAADeCAIAAADTiQCmAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOxdd3gURRufmd1ryeVyufReIQ1CqKGHGkoAEQEFVIqKUgRBxf5hVxQBBQWkqaCodBAIPUCA0BREIEB675dcv9udme+PDSGkkQQwId7vyQPJ7k7Z8s77zlshpRRYYYUVLRKouSdghRVW1AkrfVphRcuFlT6tsKLlwkqfVljRcmGlTyusaLmw0qcVVrRcWOnTCitaLqz0aYUVLRdW+rTCipYLtrkn8BBBKaWUEkIIIcLv... | null | null | null | null | As shown in the figure<image_1>,$PQ$and $MN$are two parallel tracks fixed in the horizontal plane with a distance of $L = 1m$. The two tracks each have a small length of insulators with negligible lengths at $O$and $O'$, isolating the metal track from left to right. Connect a resistor with $R = 0.3\Omega$to the left en... | null | \left( \frac{\pi}{3} + \frac{\sqrt{3}}{2} - 0.36 \right) \text{s} | 电磁学_电磁感应 | phy |
50699351-1_4 | iVBORw0KGgoAAAANSUhEUgAAAL0AAAETCAIAAADs1JBNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2deXhV1dX/1z7DnZPc3Iw3ZA4QEsJgmAQKSKgI4gDyA8Ha4lTn1rlKVV77vs9Tq7WPbZ2KvugryBtoVSZB5kEQBJFBDEPCFDLPw03ucIa9fn/skKYQ6NuTe0KV/flLN7ln7bPP96y9zzlr7UUQETicfxHhSneA872E64ZjBK4bjhG4bjhG4LrhGIHrhmMErhuOEbhuOEaQrnQH/k988cUXmzZtCgQCV7oj/4T58+d7... | null | null | null | null | <image_1>There is a square wire frame with a number of turns of $n$, a side length of $L$, a total mass of $m$, and a total resistance of $R$. It falls freely from somewhere above the magnetic field, as shown in the figure. The magnetic induction intensity of uniform magnetic fields in regions I and II is both $B$, and... | [
"The speed at which the leadframe leaves magnetic field region II is equal to $\\frac{mgR}{nB^2L^2}$",
"The acceleration when the lead frame first enters Area II is $g$, and the direction is vertical and upward",
"The elapsed time for the lead frame from the beginning of entering Area I to the time it completel... | CD | 电磁学_电磁感应 | phy |
50699351-1_47 | iVBORw0KGgoAAAANSUhEUgAAAcsAAAEjCAIAAADSd73/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydd1wTyf//CSEh1ADpoYeOIEpR4ATBgmAB7O0siKBiQWyoH9TzPmc7Uayc9ewVRbGiFAULCogcSFERQXpLKOll8/tjP4/88gXkENkgMs+Hf8jMZve1u7OvnZ15zwxKKpUqAQAAAAABlPtaAAAAAPy0AIcFAAAApAAOCwAAAEgBHBYAAACQAjgsAAAAIAVw2AGNVCoVCARdxJNIJBKhUIh0wIlEIhEIBF1sIBKJxGIx... | null | null | null | null | The <image_1>device shown in the figure is horizontally placed in a uniform magnetic field with a vertical downward direction and a magnetic induction intensity of $B$. The power supply electromotive force is $E$, the internal resistance is $R$, and the spacing between two parallel and smooth guide rails is $d$and $2d$... | [
"Before stabilization, both the $b$and $c$rods perform accelerated motion with reduced acceleration",
"The accelerations of the $b$and $c$rods are always the same before stabilization",
"When stable, the speed of the conductor bar $b$is $\\frac{2E}{5Bl}$",
"The Joule heat generated in the conductor bar $b$is ... | AD | 电磁学_电磁感应 | phy |
50699350-1_29 | iVBORw0KGgoAAAANSUhEUgAAAPsAAADVCAIAAAAethG3AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2deVxU5f7Hzzb7yjADw76vCgGChIqm5JKpqP1M85r3WprpzTJ/qaktlktqdi39lXWjrDTzlpqppLmgpgiIiLIji8CwM8wAM8Ns55zn98epueYGKLPAnPfLeslwPOc7M5/znO/zPN8FBgBANDROA2JvA2hobAqteBrnglY8jXNBK57GuaAVT+Nc0IqncS5oxdM4F7TiaZwLWvE0zgWteBrnglY8jXNBK57GuaAVT+Nc... | iVBORw0KGgoAAAANSUhEUgAAAKUAAADnCAIAAADw2QHqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO19d3gVVfr/e87Mrcm96b2TBAIpAkF6kRY6ioB+EUFU1l2Rr6suLsqC9esPK+7Cw1rWVVlFV+kkoCgdAoQOgYQAIZXc9Jty+8w55/fHwOWmEAIpNyT5PD74ZO6ZmTPzmfOe97znLYgxBt3oMsDO7kA32hXdfHctdPPdtdDNd9dCN99dC918dy1089210M1310I3310L3Xx3LXTz3bXQIfimlBJCWF3Qm2ho4S8pKTlw... | null | null | null | In <image_1>the circuit shown in Figure A, the number of solenoid turns is $n=1500$turns, the cross-sectional area is $S=20~\text{cm}^2$solenoid wire resistance is $r=1\Omega$,$R_1=4\Omega$,$R_2=5\Omega$,$C=30~\mu\text{F}$. Over a period of time, the magnetic induction strength $B$of the magnetic field passing through ... | [
"The induced electromotive force generated in the solenoid is $1~\\text{V}$",
"After the current in the circuit stabilizes, the electric power of resistor $R_1$is $5\\times 10^{-2}~\\text{W}$",
"Close $S$, and the upper plate of the capacitor becomes positively charged after the current in the circuit stabilize... | D | 电磁学_电磁感应 | phy |
50699350-1_46 | iVBORw0KGgoAAAANSUhEUgAAAPgAAADhCAIAAABqau8PAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd3wU1fr/z5mZ7bvJJlmSEFIINRCQEmqQEgHRiMErCAERS0CkiHrVi14Br4r9+gWDAgIXRUQUEIxIDb0ngWACaGghCaRAym62Tzvn98d495dL21nYNRky7z98XeZOOWfzmdPmOZ8HYoyBjMy9DtHYBZCR+SuQhS7TLJCFLtMskIUu0yyQhS7TLJCFLtMskIUu0yygGrsAEoPHgMOYAJAiAGzswtwxGACMAYQSrgIA... | iVBORw0KGgoAAAANSUhEUgAAARQAAADwCAIAAABOsAwOAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2deVxUVf/H77n3zj7MsKuAQAgquCuKKGialraamraopZaPT49LalnqL7PtyaQ0K7dKy9KeypXHjUgzDRXFXUQlVEB2hm1mmJm7nfP749g0DyAgjXKnzvtlvvLcZc6dOZ97zvme7/l+AUKIIhAItw/d2hUgEDwVIh4CoYUQ8RAILYSIh0BoIUQ8BEILIeIhEFoIEQ+B0EKIeAiEFkLEQyC0ECIeAqGF/F3EI4qiJEmt... | null | null | null | As shown in Figure A<image_1>, there are uniformly strong magnetic field areas I and II perpendicular to the horizontal plane on the smooth and insulated horizontal plane. The magnetic field direction is as shown in the figure. The width of both magnetic field areas is $l=0.1 ~ m $, the side length is $0.1~ m $, and th... | [
"Within $0\\sim 0.2~s$, the direction of the induced current in the lead frame is $a\\to b\\to c\\to d\\to a$",
"The magnetic induction intensity in magnetic field region II is $0.4~T$",
"Within $0.2\\sim 0.4~s$, the magnitude of the induced current in the lead frame is $2~A$",
"Within $0\\sim 0.6~s$, the Jou... | AD | 电磁学_电磁感应 | phy |
50699350-1_48 | iVBORw0KGgoAAAANSUhEUgAAAfgAAAFrCAIAAACyuAzFAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydeZhUxbn/v1V1zult9mGGYWCGnQFkiYiKEBSNSQwxMdwYzaMm/m5idnPVXDVcY1yzPOIS43WLucZochV3UBAUREEURVFBguwM+zBrz/R6lqr390dB37kkwyw3psdYn2fgmek+p/o9p7u/9dZbb73FiAgGg8HwsYWIlFJExDnXjzDGGGP5tqsfYeXbAIPBYPg/EQSBlLK1tZUxVlFRkZN7Qw4j9AaD4ePNtm3b5s+f... | null | null | null | null | As <image_1>shown in the figure, a square single-turn conductor frame $MNPQ$with a side length of $2L=0.2~m$, a mass of $m=0.8~kg$, and a total resistance of $R=1\times 10^{-4}~\Omega$is placed vertically on the horizontal ground. There are two rectangular uniformly strong magnetic field areas $abcd$and $efgh$in the ve... | null | 0.492J | 电磁学_电磁感应 | phy |
50699350-1_50 | iVBORw0KGgoAAAANSUhEUgAAASYAAAC3CAIAAAAw62TfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO3deVxUVeM/8HO32WeYAYZVWQUEBBFFhATXJ801fTSX/GWPlvW4lI+5pJlLWWJaRmqlaWikkuWGj4rmA4poKaggiKyC7MsgMMw+d/n+Mb34ESDCMCwD5/3qD7vDnHuGy2fOvefcew7CMAyAIKi7oD1dAQjqX2DkIKhbwchBULeCkYOgbgUjB0HdCkYOgroV3sn3kySp1WopihKJRCaqEgT1ZUZGrry8vLS0VCaTVVdX... | iVBORw0KGgoAAAANSUhEUgAAANUAAAERCAIAAABjLHXCAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO3deVgUV7438HOqqrt6o1mkWQRZBEEREFldAm5RHNTEiVmMN8s4mUl8J++TRDPzTvLOJDNxMjHz3HcS52aSa64xGc1M4mMwk7jEaHBwQVxYRAVlExqQHZqtt1rP+wf3GsIq0N3Vy/n84fNQXdX9o/laVafqnFMQIQQwTCKE1AVgHg3nD5MSzh8mJZw/TEo4f5iUcP4wKeH8YVKSJn+9vb11dXU8z0vy6ZjzkCZ/V69e... | iVBORw0KGgoAAAANSUhEUgAAANoAAAEaCAIAAAD44N6MAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2deXwUZYL3n6equqrP3Ce5yAUJISQhIUBAbo8ACgsqszKBGZ3VWZwdZcbRd/Fd9/UzO6MfVnccPjM446iAKKCgqMh9KCB3DDlICIQEct9Xn9V1Pe8f7UZM0uTqdFV3P9+/oLqOXzrfPFXPWRAhBDAYZUDIHQCD+QGsI0ZBYB0xCgLriFEQWEeMgsA6YhQE1hGjILCOGAWBdcQoCKwjRkFgHTEKAuuIURBYR4yCwDpi... | iVBORw0KGgoAAAANSUhEUgAAANsAAAEQCAIAAAC2uZbUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2deXxU1d3wz91mz2SykD1kJyE7CTsSAtGwKRSVFxXUqm+1FR9wwfLU2ldb+bS2UmuttY9aQLQqbkWQsiWsARJCSEhCVkJ2ksk2SSaz3fW8fwxPjNnIZLuznO+Hjx/n3nNnfnfynXPvPed3zsEghACBsBtwsQNAIH4EMhJhXyAjEfaFXRgJIUS3swgrdmFkY2NjTU0Nz/NiB4IQH/GN5Hn+yJEjb7zxhsFgEDsWhPiI... | iVBORw0KGgoAAAANSUhEUgAAAN4AAAEQCAIAAABQkF2QAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO3deUAU5/0/8GdmdmdPYGFZuW9BUFFBbgQvPGM0xtv8mpj6S2zS1ppGv37TNOawqb+mrSaNTb+JaZp6xaTGM+KBRFTkDCCHHCIs53Isy7H3zO7O/P7YfClFQBaW3Vl4Xn/J7rMzn8U3czzPMzMITdMAgpgHtXcBEDQ0GE2IoWA0IYaC0YQYCkYTYij7R7O1tZUgCHtXATGO/aN55MiRr776yt5VQIyD2Ldfs7W1dcGC... | As shown in the figure<image_1>, there is a uniform magnetic field inward perpendicular to the paper in the isosceles right-angled triangle area $efg$with a right-angled side length of $L$. The square wire frame $abcd$with a resistance of $R$and a side length of $L$moves at a uniform speed to the right on the paper, an... | [
"<image_2>",
"<image_3>",
"<image_4>",
"<image_5>"
] | B | 电磁学_电磁感应 | phy |
51060230-1_2 | iVBORw0KGgoAAAANSUhEUgAAAQIAAAClCAIAAAA4Q2TlAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAUSklEQVR4nO3dd1xTV/8H8JMdMhiaEMAFBVwIyAgglhYZAlZ9tIq4an+tW9w+3S21Ptbx2Eqr1QdHrXW0/YGT4kBx++BmigqIIghhJUASMsi4vz/4lSJDwVy4Sfi+//Mkuff7Cn7uzTn3nHtJGIYhAHo3MtEFAEA8iAEAEAMAIAYAQAwAQBADABBCiEp0AbiRyWTV1dWtxn8pZLKjkxNxRQHTYD4xoNPpJBJp84YNubm5CCEenz93... | iVBORw0KGgoAAAANSUhEUgAAAPAAAADqCAIAAAATel84AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAOFklEQVR4nO3ce1SUdR7H8d8wwMiMXB1EUXTXG+ENMkErhdQ077f0bGaardnuOVvH0ylrM03WS5tpltt2sgzIXZWyNhO8VN4tkYso5ahcLHRACOYKzDDM5eHZP/CooekzM+Dz8J3P6/SHPjzznC/1Pr9+88wDMp7nGQAVfmIPANCWEDSQgqCBFAQNpCBoIAVBAykIGkhB0EAKggZSEDSQgqCBFAQNpCBoIAVBAykIGkhB0ECKv9gD... | iVBORw0KGgoAAAANSUhEUgAAANgAAAC0CAIAAAB5dHWbAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAKaElEQVR4nO3dfVATdx7H8c0uIcGkxHGgKEF5EHmyAqM39npS2960VU6tTkdr1Spqqwhiq9Zirc6c2M6Bpcf4gB5KWwfq6dmzqFd73ihWrPWOqmCRiAkUEJVIMDpKeYh52vuDG87hwfCQ7H6Dn9f4B/zIzO9LeLu7kRUkPM8zAGJjxR4AgEGIQAVCBBIQIpCAEIEEhAgkIEQgwaPrksVi0V2ruGMwiDEPPEGef+n3Hh7/K7CbEFtb... | null | null | There is a three-rail sliding door with an internal width of $L_1=2.75m$. The top view of the three door panels is shown in Figure A<image_1>. The width is $L_2=1m$, the mass is $m_0=20kg$, and the friction coefficient with the track is $\mu=0.01$. The height of the raised part on the edge of each door panel is $d=0.05... | null | If $F \leq 2\text{N}$, Door 3 remains stationary with $x = 0\ \text{m}$; if $2\text{N} < F \leq \frac{17}{3}\text{N}$, then $x = 0.15F\ \text{m}$; if $\frac{17}{3}\text{N} < F < \frac{85}{3}\text{N}$, then $x = \frac{3(F + 17)}{80}\ \text{m}$ | 力学_动量及其守恒定律 | phy |
51060230-1_8 | iVBORw0KGgoAAAANSUhEUgAAAzYAAACnCAIAAABM/15tAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOzdd1hUx/o48FO2sUuTJqAgqCgqghVLrLFhBCzYazQajSaxJdarMcYYo8ZYornR2GsUWzTE3o0VRcQK0ntZyvY9e2Z+f8z37m8DLALSfT/Pfe5j2MPOHE57z5R3aIwxBQAAAAAAahKmuisAAAAAAAAKgxANAAAAAKDGgRANAAAAAKDGee9CNIwxz/MwAg8AAAAANdl7F6KlpqYuXrw4KyuruisCAAAAAGDWexSiYYw1... | null | null | null | null | As <image_1>shown in the figure, the distance between the end of the smooth inclined surface with an inclination of $\theta$and the left end of the horizontal conveyor belt $D$smoothly connected conveyor belt $DC$is $L$. The speed of movement in the clockwise direction is $v_0$. The right end $C$is smoothly connected t... | null | 2n-1 | 力学_动量及其守恒定律 | phy |
51096644-1_2-4 | iVBORw0KGgoAAAANSUhEUgAAAhkAAACVCAIAAAB6lX9WAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO3deUBNaf8A8HO7t30RIlHaEJmGURjMVEx2YyvCZBlRJsooRjRCyAiVSkLLpCiTEioiLSLa933TvqjbvdVdzz3n/v4473vf8zuZVG4bz+e/ns4957lHzvc8z/N9nofE5/MhAAAAAPgMIsNdAQAAAGDUA7EEAAAA+FwglgAAAACfC8QSAAAA4HNRIAg/9k4axqoAAAAAoxQFxA8AAADgM4E+LgAAAOBzgVgCAAAAfC4Q... | null | null | null | null | As <image_1>shown in the figure, the horizontal conveyor belt moves counterclockwise at a speed of $v_0 = 2 \text{m/s}$. The left end of the conveyor belt is smoothly connected to the horizontal ground. The conveyor belt is tangent to a fixed quarter-smooth circular arc track. The object $a$slides down from rest from t... | null | 0.48m | 力学_动量及其守恒定律 | phy |
51096644-1_3-1 | iVBORw0KGgoAAAANSUhEUgAAAZsAAAClCAIAAAAF/cfGAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO3dd1wTZx8A8OcugSTsDSKIbBCUKYooIFpR61bcq9ZZbX2t1dpq3d11711368C99xYUNyIyZK+wIevG87x/nGIMVjYJ+nw//iG53N3vLrlfnufuGQRCCGAYhn0USHUHgGEYVm/4H1yqXHwjGjwWDMOwuvlwGY1Q+qdZysvL5XK5uqPAMEyzNMlaJ0VRa9esEYvF6g4EwzDN0vQyGsuyq1asPHfmjI5IpO5YMAzTLE0s... | null | null | null | null | As shown<image_1>, the semicircular smooth track $AB$is fixed in the vertical plane and tangent to the smooth horizontal plane $BC$at the $B$point. On the right side of horizontal plane $BC$is a horizontal conveyor belt that turns clockwise, and the smooth horizontal plane $DF$adjacent to the conveyor belt is long enou... | null | t = 7585 - 1011\sqrt{5} | 力学_动量及其守恒定律 | phy |
51096644-1_9 | iVBORw0KGgoAAAANSUhEUgAAAZIAAAEgCAIAAAAR4mLTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOzdd1hUxxoH4DPnbGfpvYjBigVUbCAq1miMBQsYS2KLXUM0Xk3sGrvG2I3YTQQjGDU27BKj2GNBxArYQKUtsP2cmfvH6IYoKurS5HufPPdJFtgd9nJ+OzNn5htECGEAAKDsYEu6AQAA8G4gtgAAZQzEFgCgjHm/2CIv/tf0j+lBAAAoWqg0TMmb2oAQKum2AABKO1EJvjZNK0EQBEHgeZ7jOJFIxLIsy8LQFQDwWiUW... | null | null | null | null | As <image_1>shown in the figure, the slider with a smooth bottom is resting on the smooth horizontal ground. There is a smooth chute on the slider. The chute consists of a straight line section $AB$with a length of $l = 5\text {m}$and a section of arc $BC$with a radius of $R = 2\text {m}$, which are tangent at the poin... | null | 15m | 力学_动量及其守恒定律 | phy |
50880494-1_1-2 | iVBORw0KGgoAAAANSUhEUgAAAWEAAACECAIAAADOYw0FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO3daXQTV4Iv8FuL9tWWLFur90WyvGGwAWODcdiXQAIhnZlkTk5PJp330v2mp/tMz3x4Z/LeZE5Pp5c3fXqmp5PT05lOOguhAwQChADGBrwbY1tYXiQvkmXZ1mLL1i5V1X0fBIYEQtgN+P74hKqsqmu5/rpb3cIghABBEOQb4It9AgiCPNJQRiAIcisoIxAEuRWUEQiC3ArKCARBbgVlBIIgt4IyAkGQW0EZgSDIraCM... | null | null | null | null | As <image_1>shown in the figure, a wooden board with a mass of $3m$, a smooth upper surface and a baffle on the left end slides down at a constant speed of $v_0$on an infinite slope with an inclination of $\theta= 30\circ $. At a certain moment, a small slider with a mass of $m$is placed on a certain point on the woode... | null | 6mv_0^2 + 24(N - 1)mv_0^2 | 力学_动量及其守恒定律 | phy |
50880494-1_1-3 | iVBORw0KGgoAAAANSUhEUgAAAPMAAAB7CAIAAAAudyHdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAY8klEQVR4nO2deVQUV77Hb3fTewMNTTfdzdYNsguKBkRkNOLEaCYTFQ0xxCW4xeiMJieanEzemcmcnMw5k5c4xoh7YNR55p3kj2R0TDKYuIIiigu77NBs3TRN71tt7497Do8zUhUXYpvyfv6yL9f6/qrqW7d+dZcqDkVRAIFgHdxAB4BA/CwgZyPYCXI2gp0gZyPYCXI2gp0gZyPYCXI2gp0gZyPYCXI2gp0EBToABAIAACiKqq2t... | iVBORw0KGgoAAAANSUhEUgAAAVAAAAELCAIAAAAAw0m6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydd3hUVdrAz7lteqal94QUQgIECS1URUF2wQqi4mfHhm2VXevqiqJrWbEuqyi761oACxawEClSJXRIJb0nk0ymz9y57Xx/jMYYUiaZOynk/h4fH+bm3HPeuXPfe895z1sgQghISEiMDrChFkBCQmLwkBReQmIUISm8hMQoQlJ4CYlRhKTwEhKjiJGh8Aih2pqan/bsGWpBJCRGNsRQC+AXHMd9/+13DU0Nc+fNG3An... | iVBORw0KGgoAAAANSUhEUgAAAO0AAAB+CAIAAABH3QE1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAco0lEQVR4nO2de1RTV/r3z8mNkHtICJcQ7hC5CIJYi7RWrXhZrU4ry4p1dDrWWTOdNVpXO1idQR1cKmq12oszVbtmanVGR+tltFrBVq1VKiAgIAIFQiAEciE3kpDryXn/2DO8/oQT8bI8GvZn8QfJ2Zzn4eR7dp69z97Pg+I4jkAgzzgUsh2AQB4DUMeQQADqGBIIQB1DAgGoY0ggAHUMCQSgjiGBANQxJBCAOoYEAlDHkEAA6hgS... | null | null | As shown in Figure A<image_1>, the wooden board A on the smooth horizontal surface is released from rest by being compressed by a light spring by $4L_0$. After being pushed away by the spring, it moves to the right and elastically collides with the fixed baffle on the right side. The $x-t$image of the wooden board A st... | null | 32.625L_0 | 力学_动量及其守恒定律 | phy |
49912279-1_5 | iVBORw0KGgoAAAANSUhEUgAAAYkAAADPCAIAAACPybovAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOyddXjUyBvHM5PN7na33borlNIWSouUCu7F3d1dihzu7i7HcegdhxxuxR0OLUWKtpS6y1bWksz8/sjBj4MWaGnZlObz8PDASjKbTL7zzjvvvC/AGBMCAgICPAPquwECAgIC+SBok4CAAB8RtElAQICPCNokICDAR0T6bkA+YIwZhkEI6bsh+QMAICEkRXy8dALFAsYYIcSyLE9XijAmSRKSJIQ/s23BxweMZdkLZ04/... | null | null | null | null | As <image_1>shown in the figure, the ratio of turns between primary and secondary coils of an ideal transformer is 2:1, the output voltage of the power supply is $u = 30\sqrt{2}\sin 100\pi t(\text{V})$, the constant resistance is $R_1 = 20\Omega$,$R_3 = 2.5\Omega$, and the maximum resistance value of the sliding rheost... | [
"The current meter indicates $\\sqrt{2}A$",
"The voltage meter indicates $10V$",
"The slider $P$slides slowly from $b$to $a$, and the power consumed by $R_3$decreases",
"The slider $P$slowly slides from $b$to $a$, and the output power of the transformer decreases"
] | C | 电磁学_交变电流 | phy |
49706617-1_2-1 | iVBORw0KGgoAAAANSUhEUgAAAVAAAADkCAIAAABBputZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydZXgUV9vH54ysb9w2QgghQghQ3J3i7hYobsWKQwVKS6GFUqC4FCla3DVI8eAEosR1k92sy8g574eBvHkgQAIBNnR/H3LlSkZ35z/3Ofe5BSCEsNfC/wu88ksh4PX72rFjx+YAbxS8HTt2PivwT30BduzY+XjYBW/Hzn8Iu+Dt2PkPQX7qC/jg8E6KN7gqAACFP+3Y+bz5nAWPXsBxHIKQZhiWZTEMI0mS4ziEEEEQ... | null | null | null | null | A classmate made a hand-operated alternator, as <image_1>shown in the picture. The large pulley and the small pulley are driven by a belt (the belt does not slip), and the radius ratio is 4:1. The small pulley and the coil are fixed on the same rotating shaft. The coil is a square with a side length of $L$made of ename... | [
"The angular speed of rotation of the large wheel,$\\omega$, cannot exceed $\\frac{\\sqrt{2}U_0}{nBL^2}$",
"The voltage across the bulb has an effective value of $\\sqrt{2}nBL^2\\omega$",
"If a multi-turn square coil with a side length of $L$is rewound with enameled wire with twice the original length, the bulb... | BC | 电磁学_交变电流 | phy |
49706617-1_3-2 | iVBORw0KGgoAAAANSUhEUgAAAWIAAAC8CAIAAADNfTPGAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dZ1zVSBeHM0luAS5degcFERUEKyoKioC6NkRUsBfsbW1rr9iwYFl7W+xdsBcQEbGjdEVwpffOrUnm/RCXFxEREbgXzPPzg1xCMsmd/OfMmTnnAAghwsDAwPB9UGk3gIGBQdZhZIKBgeEH4NJuQF2AEFbMlQAAAABpt4iBoTnTZGSClgaKokiSTE9Pz8/PJ0mSy+Xq6empqKigKAoAQFHGOGJgqH+ahkxQFJWamvri... | iVBORw0KGgoAAAANSUhEUgAAAS8AAAC9CAIAAABtZWxzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO2dd1wUx/vHd/cKd3AcvYOIiGJDERADKhorECv8xBJbUBIVvxpbYsOYWKJGgzEajTEiKrYohgjWIAgWLIACCoLYQHq9frs7+/tj9HI5wNDvOPb98g/ZNrN7+9mZeeaZ50EpikJoaGg0AEzdFaChoXkHrUYaGk2BViMNjaZAq5GGRlOg1UhDoynQaqSh0RRoNdLQaAq0GmloNAWmuivQAaAoiqIoFEVVtqtsUfajqHsw... | null | null | null | As shown in Figure A<image_1>, the number of turns in the primary coil of an ideal transformer is $n_1 = 3000$, the number of turns in the secondary coil is $n_2 = 1500$,$R_1$is a fixed resistance, and $R_2$is a sliding rheostat. All meters are ideal AC meters. The variation of the sinusoidal alternating voltage $u$con... | [
"The expression for the primary coil connected to the alternating voltage is $u = 22\\sqrt{2}\\sin 100\\pi t(\\text{V})$",
"Voltmeter $V_2$shows $11V$",
"If the sliding blade $P$of the sliding rheostat is slid upwards, the indication of the voltmeter $V_2$becomes larger",
"If the sliding blade $P$of the slidi... | AD | 电磁学_交变电流 | phy |
49908640-1_4 | iVBORw0KGgoAAAANSUhEUgAAAh8AAAELCAIAAAD2kHOWAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOxdd3wUxRff2b275Ep6b5QkhN6LgFQpoiCCoqiAUhRQmvRAIARC70UREUQEBdtPERWV3jsovXdCIL1f253fH5dLruzubZm928R8P37wsjvz5r3pb96btwBCiFWhClWoQhWqgBS4pxmoQhWqUIUqVEJUrS5VqEIVqlAF9KhaXapQhSpUoQroUbW6VKEKVahCFdCjanWpQhWqUIUqoEfV6lKFKlShClVAj6rVpQpVqEIV... | null | null | null | null | As <image_1>shown in the figure, there are four identical rectangular areas long enough in the vertical plane, all with a height of d. There is a vertical downward uniform strong electric field in area I, and there is a uniform strong magnetic field perpendicular to the paper surface in areas II, III, and IV. The magne... | null | \frac{1}{3} | 电磁学_磁场 | phy |
49908640-1_5 | iVBORw0KGgoAAAANSUhEUgAAAOMAAADhCAIAAAC1JJUQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nO19d2AURfv/zu61XEu99F4hCYFAQu+I9KKCBRUsiAKKoFhfXxEbYHtFRUEUARWsgIKAUiQIKEovCem993Z9d35/XHK5sv32LuH78/MHbPZm5nlm5tlnnnnmmRnw3HPPrV+/HvkX/6JvA+1tBv7Fv2CFfyX1X9wc+FdS/8XNgX8l9V/cHPhXUv/FzQGRw98QQgQBCAK7X9g+8wbbQpjTCcIOc9E8yJBlAQgC7d8LyH93... | null | null | null | null | As <image_1>shown in the figure, the first and second quadrants of the plane rectangular coordinate system xOy have uniform magnetic fields with magnetic induction intensity of B inward perpendicular to the plane. In the third quadrant, there is a circular area with radius a and tangent to the two coordinate axes. Ther... | null | The magnetic induction intensity B'of the uniform magnetic field in the fourth quadrant satisfies the condition of $2B \leq B'\leq \frac{3\sqrt{11}-1}{2}B$ | 电磁学_磁场 | phy |
49908640-1_7 | iVBORw0KGgoAAAANSUhEUgAAAQ0AAADnCAIAAACL2JQPAAAgAElEQVR4Ae2dB4AURdaAWZacRUAyu+ScMyhIRvRUwIABBRU9PcN5KmZB7gznnXf6mz0zGBBFUQl6JjAQPJGcWXbJGZac3P/rrpmezl090z2zwDY6W131Ur2qV6mrXqXl5eUVKngKNFCgAVcNFHZNLUgs0ECBBhQNFNhJQT0o0IC3BgrsxFtHBRAFGiiwk4I6UKABbw0U2Im3jgogCjRQYCcFdaBAA94aKOINUqhQwdqxjJYKYPKDBqirorqmqY8mEm9aOI6AlJ3EQdcW... | null | null | null | null | As shown in the figure<image_1>, the vacuum area has concentric squares ABCD and abcd, with their corresponding sides parallel. The side length of the ABCD is fixed, and the side length of the abcd is adjustable. A constant and uniform magnetic field is filled between the two squares, and the direction is perpendicular... | [
"If the angle between the velocity direction and the ad edge when the particle passes through the ad edge is 45°, the particle must be ejected perpendicular to BC.",
"If the angle between the velocity direction and the ad edge when the particle passes through the ad edge is 60°, the particle must be ejected perpe... | AD | 电磁学_磁场 | phy |
49908640-1_23 | iVBORw0KGgoAAAANSUhEUgAAASoAAACSCAIAAAB9thDUAAAgAElEQVR4Ae2dBYAUx/LwcXd3dznc3SE4BIK7u+sBx+HuhJAAwRIkwUkIBIJLiBGCu0tI0ODy/WZmd3Z2R3Zmdxbu/73bl8f1tFRVV1e1d1XEd+/eRQj/hXMgnAMfggORPgTScJzhHAjngMCBcPULl4NwDnwwDoSr3wdjfTjicA6Eq1+4DIRz4INxIFz9PhjrwxGHcyBc/cJlIJwDH4wD4er3wVgfjjicA1H0WODPeeDbt28BG1H86cE3jo8YIYLmcaRevAG0N2/eQEik... | null | null | null | null | As <image_1>shown in the figure, a positively charged particle with mass m and charge q (ignoring particle gravity) is vertically injected into the orthogonal vertical downward uniform strong electric field E and the horizontal inward uniform strong magnetic field B along the OO'direction at a speed of $v_0$. The rate ... | [
"Rate of charged particle at point P $v_p=\\sqrt{\\frac{2qEs}{m}+v_0^2}$",
"The acceleration of charged particles is constant at $\\frac{qE}{m}$",
"If $s =\\frac {mE}{qB^2}$, the time it takes for the particle to enter the area to point P is at least $\\frac {\\pi m}{2qB}$",
"The Lorentz force is always less ... | BC | 电磁学_磁场 | phy |
49908640-1_34 | iVBORw0KGgoAAAANSUhEUgAAAbkAAAFrCAIAAADDwGBbAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOxddZwcRfbv6h7bWbdkfTe7cdndCJuEuHtCcAk/IECOQw6OAwJ3cFg49JADjsPdLUGChRAlIYG4u5HNWtZH2ur3R6+MtFR3V830hv1+PpCZna5Xr15Vv3r13qsqsHDhQqoTnehEJzqhCgAhjDYPnehEJzphddDRZqATnehEJzoAOnVlJzrRiU5oo1NXdqITneiENjp1ZSc60YlOaKNTV3aiE53ohDY6dWUnOtGJTmjD... | null | null | null | null | As <image_1>shown in the figure, the researchers set up the following scenarios when studying the controlled trajectory of charged particles. There is an xOy plane rectangular coordinate system in space. In the first quadrant, there is a uniform strong electric field with a direction along the negative direction of the... | null | $(16n+3n\pi-3\pi-8)\frac{d}{4v_0}$ | 电磁学_磁场 | phy |
49908640-1_37 | iVBORw0KGgoAAAANSUhEUgAAAXgAAAFnCAIAAAAjf8W/AAAgAElEQVR4Aez9/dP+61XWh+9PdhJCHkhJIiACQsdREAKFimgwgDq1WipIqQxTC21nHDrqD2qnD3baGfs32HaGTjt0KuKA4ARMwAAiAwQIYA0h4SGByEMEEpLsQJ52sjfZu8frdax1Xtf9edj77g/5bZ+f+zrf61zrWMc61jrf19VA/H658+STTz70zHpmAs9M4JkJfCwn8KyPJfkz3M9M4JkJPDMBJvDMD80z78EzE3hmAh/zCTzzQ/MxH/EzBZ6ZwDMTeOaH5pl34JkJ... | null | null | null | null | As <image_1>shown in the figure, in the rectangular coordinate system xOy, there is a uniform strong electric field in the negative direction of the x-axis in the first quadrant, and the electric field intensity is $E=10^3 \text{V/m}$; In the third quadrant, there are two uniformly strong magnetic field areas bounded b... | null | $(16-4\pi) \, \text{m}$ | 电磁学_磁场 | phy |
51216130-1_4-2 | iVBORw0KGgoAAAANSUhEUgAAARIAAAFFCAIAAACv3vU7AAAgAElEQVR4Ae3dB5gsRdUGYJKIIFEJAgKXIFlACZIkSZCklyAoQQkiIEERQfhRAQkqknMWCSoZLwJKEJAcBERyRiRLEpGg8L9Q0Ld3dmbu7E7N7sz2GR729vRUn676qr46dU5VnRr/nXfeGS8+gUAgMBAEJhhI4kgbCAQC7yIQtIl2EAgMGIGgzYAhiwcCgaBNtIFAYMAIBG0GDFk8EAgEbaINBAIDRiBoM2DImjzwn//8Jxz6TfAZMT8FbfJUJbY8++yzBx544JtvvlmW... | null | null | null | null | Electron pair annihilation refers to the process in which electrons and positrons collide and annihilate to produce gamma rays. The masses of positive and negative electrons are both m, and the charge amount is both e. The gravity of the positive and negative electrons is not counted. As <image_1>shown in the figure, o... | null | \[ S = \pi L^2 \] | 电磁学_磁场 | phy |
50911225-1_4-01 | iVBORw0KGgoAAAANSUhEUgAAAQgAAADbCAIAAAAeSZidAAAgAElEQVR4Ae2dBXxURxPAsRAChAgkuEuCu0twt1KcFihWihV3d4K7FynyUdwpUiy4FZcE9wQSSAJJSEK+/7sH1+NyubyTHHDZ+/EL7+3bmZ2dndmdWZlNGBUVlUD8BAcEB77kQKIvX8Wb4IDggMQBoRhCDgQHdHBAKIYOpogkwQGhGEIGBAd0cEAohg6miCTBAaEYQgYEB3RwIImONJFkFAeY+P748WOiRIkSJkwYHQFf+czUON8SJU5MBilFBZI4cWKdINGRiBSLcUCM... | iVBORw0KGgoAAAANSUhEUgAAARAAAADcCAIAAAA3NWk5AAAgAElEQVR4Ae2dBVxU2RfH7cACDBSwRbFQROzE7lp1jTXWXltRMUBARESwY621O3bVde3uDgzsTlAxURT5f4fn/zkMwzjgMAPMfbsffPPerXfu+d1z7rnnnps8IiIimbgEBQQFtKNACu2SiVSCAoICCgoIwAg+EBSIBQUEYGJBLJFUUEAARvCAoEAsKCAAEwtiiaSCAgIwggcEBWJBAQGYWBBLJBUUEIARPCAoEAsKpIpFWpE0nikgLSInT55cuR4eyleKyIu3PPn69St/... | null | null | null | There is a device in the laboratory that can be used to explore the properties of atomic nuclei. The main principle of the device can be simplified as follows: there is a rectangular coordinate system O-xyz in space, and there is a particle source P on the underside of (-0.2m,0,0). It can continuously emit a certain at... | null | \left(0,0,\frac{2}{\pi}\times 10^{-1}\text{m}\right) \text{or} \left(0,0,\frac{1}{5\pi}\text{m}\right) | 电磁学_磁场 | phy |
49912281-1_17 | iVBORw0KGgoAAAANSUhEUgAAAagAAAD0CAIAAABB6yWvAAAgAElEQVR4AeydB2AcxdXHd6+qy3LFNsUGN1oMmGaKacaE3kMJBAihJ/QaCAkt5IPQEgIhQEgCJPRAHFroYKoNxmAwxg0bA7ZxU5eu7H6/2blbre50Rbo73Z40GyLvTX3zZua/b968eaObpqmpR3FAcUBxoD9xwNOfGqvaqjigOKA4IDiggE+NA8UBxYF+xwEFfP2uy1WDFQcUBxTwqTGgOKA40HMOsElQivsECvh63uUqp+JAP+cAkBeJRAzDKDnsU8DXz4euar7iQM85... | iVBORw0KGgoAAAANSUhEUgAAAJUAAACvCAIAAAB7IQvTAAAgAElEQVR4Ae3dCYBdVXk48Pdmy8xkX0hC2BICAVnCqogLWq1WrdQWF+qC1tpW69pW0GqtFhBrFfda6wK4W2utFhVEFFRAAdlkD1tCFiB7JrMv773/774zc+a+Zd68TCaQyZ8rTs479zvfWb5zvvNt59xsoVDIPPlM2RFomLItf7LhyQg8Sb+pPQ+epN+T9JvaIzC1W//k+nuSflN7BKZ265umdPPz+fw999yzZcuWxsbGtra29vb2rqb27mkzMg1NmYbs8hlNC1ubcpns... | iVBORw0KGgoAAAANSUhEUgAAAgQAAAJICAIAAACR+mvWAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOy953YbyZIuGhGZ5eAJGoBWlO3uM72n13n/F7hr3Zl9z5y2kiiJpEQnGgCEKZeZcX8EUIRoJO12Yu+ub1EUCALJzCxUfBkemRlKlLgfYAD5ODID8/TH+Q8oFl8IhIDzb5y9xX34lpuQdxEAIiBOByzgZkN9chz4cDLFj9P5AwCDA3CzGX5yHJkSIND8fOYm8znrQgCarUt+5NkEmMHxp8e5Nh+8sc/utkvzIRgAkafv... | iVBORw0KGgoAAAANSUhEUgAAAKQAAAC5CAIAAAApnwNTAAAgAElEQVR4Ae3dB7xdVZUw8Htff3npgUASSkLviIJ0cFBBpdlmRERUFB3HCqjjWECxdyyjzkhRxz4qOiOgQkCKdAKhSUtCgFCSvCSv93e//7n73ZP7bnvntfDMN+cHL+fss/faa6+119prrb32uelMJpP6v+v/DwrUbE3DNHG7BjM9A6l0OjOtuqq2Kt3vcTDTOzg0yrqqlPJ0OtU7kOkcHJrn6VSmqSaqrKCzP9OXm/y1UeV0VSqlpKN/SCaq0qnGqlRdddVARkeAb4bc... | iVBORw0KGgoAAAANSUhEUgAAALwAAADVCAIAAABi0A1uAAAgAElEQVR4Ae3dB4BdxXUw4O1adRASkqgSYDrGGLApBgPGdlwAO8YtJE6MY//uvQQ7gTix4xLjxN1JKLYT19hxxxhEN830jhDapQmEyq62l7fvvf+7b1Z3775739u3K4GRlmu8mjt35syZM2fOnHPmzLz6YrFY9+zzLAUmQ4GGyRR+tuyzFIgo8CzTPMsHk6ZA06RrbLMVwjIcVuP6+rr6UkdkJtfnSvnKVvo02fwIVN2oSpDWDeqBG0VsNBFeGza/1YhwJayi1mvue8Bl... | The figure <image_1>shown is a schematic diagram of the particle flow beam expansion technology. The square regions I, II, III, and IV are symmetrically distributed. A proton beam with the same velocity can be expanded after being injected. The distribution of bounded magnetic fields (the boundaries are all circular ar... | [
"<image_2>",
"<image_3>",
"<image_4>",
"<image_5>"
] | C | 电磁学_磁场 | phy |
50870296-1_1 | iVBORw0KGgoAAAANSUhEUgAAAVUAAADGCAIAAADt64QgAAAgAElEQVR4Ae2dCbxP1RbHXfMYwr2XyFzoURkzVSrhUQgRxfN6ejKWjPEkmUqGjCEaDCUKTVLqyTyriJSSmXCpzNN93+vUecf//u+55/zvOed/hnU+Ptf5n7PP3mv/9l57r7322mvFJCYmppNLEBAEAolA+kDWWiotCAgCSQiE5X9FIuCviAbSSwQBPyOQMVzlYq4+VP6Gey/PBAFBwBcIhOV/X9RMKuE+BFA2bdmy5euvv1ZJy5o169+uXunThxVF1YRyYwsCArotsEqm... | null | null | null | null | The turn ratio of the primary and secondary coils of an ideal transformer is 1:3, and the line is connected with five fixed resistors R_1, R_2, R_3, R_4, and R_5 with the same resistance value. As <image_1>shown in the figure, a sinusoidal alternating current is connected between A and B, then the following statement i... | [
"The ratio of the voltages across R_1, R_2, and R_3 is 7:1:2",
"The ratio of currents passing through R_1, R_2, and R_3 is 7:1:2",
"The power ratio of R_1, R_2, and R_3 is 49:1:4",
"The ratio of input power between A and B to transformer input power is 28:3"
] | B | 电磁学_交变电流 | phy |
50870296-1_8 | iVBORw0KGgoAAAANSUhEUgAAATUAAACGCAIAAAAzVIo8AAAgAElEQVR4Ae2dBXTVWBPHF/0WW8Vd20KhLbTUW0oLpXhxLRS34u7u7rK4u7u7u3tx98Vh2e9XwmazT/Ly3kuV9HA4ecm9k5vJnTtyJ/+J9/fff/+g/Wkc0DgQIzkQP0aOShuUxgGNAxEc0ORTmwcaB2IuBzT5jLnvRhuZxgFNPrU5oHEg5nIg7svnh/fv3717J74B4mHv3r79/PmzeEY70DgQYzkQzfL56dOny5cu/vXXXyKDXv/5Z/i1a+JPKw+gvHj+vK5tW926eUMg... | iVBORw0KGgoAAAANSUhEUgAAALAAAACWCAIAAADxIJUiAAAQ6UlEQVR4Ae1dCXRURbq+9/ae7uybbEmAyKoQVEAIkLAMBPG4DA5viMMTPRwfi4zoEw76FMcZyCCLzBHBBwdk8zEj6hONEweIkAQIRAQxhn2JQzAJWQid7qTT3enu+UIPnXR3At3J7c7t3P8eTqiqW1W3/q++/uuvv+rWZW02G0MXIXAHAe5OgP4nBJoQIEIQD5wQIEI4wUERIgRxwAkBIoQTHBQBIeyzDPyl6QbxocmoZG/DgL/2QPtBsVgsRqOx/eWppAAQ4HPIKCkp... | iVBORw0KGgoAAAANSUhEUgAAAKEAAACDCAIAAABqV+zcAAAOT0lEQVR4Ae2dC1QTVxrHZzIhISGEyEMQRayK0LK+8EEVdbcutcJyUNdaXVtfrVZP63Zb7VnbtWvXXXet2/Xo8djVxbXqObK1VQ5HULc9RarYFa3g22pbik8EeQZIQkIe7B9TI8KECXEmYcid44k3N/fe+e7/N/ebb+6dGeiWlhaKbD1aAUmP7h3pXKsCHRnbhzU+3R/fVquVqNt9FOjI2G4bTVH4585mNpv37NnjTk1SRxgFOjJ2E63DvAsXLqxZs6ahocGRQxLeVaAj... | iVBORw0KGgoAAAANSUhEUgAAALgAAACZCAIAAAAToWcDAAAYUElEQVR4Ae1dCXxU1bm/987MnS2TZLKHJIQAEQhrCPuiQMCCyObjFSyK8ugrvKeFYt1Qq0XZXJ4VtRYFHtZKtS0ubEIEkbCJguxgGpYUErKQdZLJ7Ev/NxMmk8lkMplkMje55/40nDn3LN/yv9/5zk7b7XaKPEQCLUmAaSkBeU8kwEmAAIXgwCcJBBAoaNRsNptPVJBEvJdAoIAClBw5cmT37t28lwAh0CcJBAooer1+/fr1+/btQ8AnQkgifksgUEA5e/bsgQMHTpw4... | iVBORw0KGgoAAAANSUhEUgAAAKsAAACaCAIAAABZrC9GAAAUB0lEQVR4Ae1dCVRUV5p+r/aNfUcBUVoNaEBRAYMkbqOj0ahoHNMJdmY0OmnXJGo8JzEqtk46mjGamGibHueYYxLtjkajYqtxwVHbBRXjioKogCA7FLVXzVcWVhVQLKVV1KtX9x0OPO77373/8t3/3vvf5dEGg4EilwdrgOPBshPRjRogCPB0HBAEEAR4ugY8XX7iAwgCPF0Dni4/8QEEAZ6uAU+Xn/gAT0cAz0oB1sFB2iqd3LJZA9YIIFZns6Vbk83xrUBtbW15eXlr... | <image_1>A ring with a mass of m and a charge of-q is sleeved on a rough thin rod long enough at an angle\theta to the horizontal plane. The diameter of the ring is slightly larger than the diameter of the rod. The thin rod is in a uniform magnetic field perpendicular to the paper. Now, given the initial velocity v_0 o... | [
"<image_2>",
"<image_3>",
"<image_4>",
"<image_5>"
] | A | 电磁学_电磁感应 | phy |
50870296-1_10 | iVBORw0KGgoAAAANSUhEUgAAAU0AAAEtCAIAAAADZqXJAAAgAElEQVR4Ae3dd8BcRfU+8B9FQQEFBEHACEhJiBTBSCeh944IKIh06b0IQekdQgATegtFQg8YQIRQQjdA6L2KoVelWX4fvH7XZd/Nm3137+57y9k/kt373jt35pl55pw5c86Zyf7973//v/gEAoFAoRGYvNCti8YFAoHAFwgEz2McBALFRyB4Xvw+jhYGAsHzAo4BNpd//OMf//znP5O2+fn555//61//KmBTo0mNITBlY7fFXflAAKWfe+65xx9//NFHH11wwQXXXntt... | null | null | null | null | As <image_1>shown in the figure, there is a uniform magnetic field with a radius R=a in the xoy plane. The magnetic induction intensity is B, and the direction is perpendicular to the paper. There is a particle source at the center of the circle. The particle source emits positively charged particles of the same kind i... | [
"The corresponding velocity of the particle is v=\\frac{qBa}{m}",
"The length of the area on the baffle where particles in two different directions hit the same position is\\frac{\\sqrt{3}-1}{2}a",
"If the baffle can rotate around point C, ensure that all particles hit different positions on the baffle, the baf... | BC | 电磁学_电磁感应 | phy |
50870296-1_11 | iVBORw0KGgoAAAANSUhEUgAAARMAAADgCAIAAACvuhXsAAAgAElEQVR4Ae1dBVhUSxSmQxRFRFpKEKRRFFtCsUXBLmzs7u7CVmwxUEJEFPPZ3RIqEtLdSOfu+5fVdSWWZdldduHe9z6ZnTtz5syZeybOnBAkk8kCxENQgKBAHSkgVMfyRHGCAgQFKBQgOIf4DggKsEIBgnNYoRpRh6AAwTnEN0BQgBUKEJzDCtWIOgQFCM4hvgGCAqxQoElwDiTvIcHf09NSWaEQUYegQHUUaBKcU1pSMmrYEDvbfq9fviTur6r7DIi8OlNAePPmzXWu... | iVBORw0KGgoAAAANSUhEUgAAASQAAADQCAIAAAAh74sAAAAgAElEQVR4Ae1dCWATVfrPfTVJ0/u+DygtpxQBBeQSEVAQD+TyQF39iyKurOyquyqKuuquqOx6oCDIrQgKLsghBUEoIG2hLVdveqRN26Rt7mP+3yQ0pGmaJulkZtq+8ehk5s37vvd77/eO7733PSaGYQx0IQQQAv5HgOV/EUgCQgAhgCOAyIbKAUKAJAQQ2UgCGolBCCCyoTKAECAJAUQ2koBGYhACiGyoDCAESEIAkY0koJEYhAAiGyoDCAGSEEBkIwloJAYhQBjZ0EoU... | null | null | null | As shown in Figure A<image_1>, the angle between a smooth and long enough fixed slope and the horizontal plane is 30^{\circ}. There is a uniform magnetic field perpendicular to the slope and downward between two parallel horizontal dotted lines MN and PQ on the slope; there is a uniform magnetic field perpendicular to ... | [
"During the time from 0 to t_1, the ab side of the lead frame must not pass through the dotted line PQ",
"During the time from t_3 to t_4, the speed of the wire frame is\\frac{v_0}{2}",
"During the time from t_3 to t_4, the potential difference between points a and c on the wire frame is 0",
"During the time ... | CD | 电磁学_电磁感应 | phy |
50870296-1_12 | iVBORw0KGgoAAAANSUhEUgAAATAAAAD4CAIAAADkVS3JAAAgAElEQVR4Ae2dBXwURxfA0WChuEuAAMEtQIEkuBOcQnH34u4UL1CoQoInuBQoDsXdJbgFKxK0RYN/f9h+2+sluezd7d7tJnM/fu1mdnbmzZt58948m5gfP36MIX4CAwID+sBALH2AIaAQGBAY+IQBQZBiHQgM6AgDgiB1NBkCFIEBQZBiDQgM6AgDgiB1NBkCFIEBQZBiDQgM6AgDgiB1NBkCFIEBQZBiDQgM6AgDcXQEiwAlumLg/v37oaGhWo8+notLylSpYseOrXVH... | null | null | null | null | In <image_1>the circuit shown in the figure, the turns ratio of the ideal transformer is n_1:n_2:n_3=4:2:1, the constant resistance R_1=4.8\Omega, R_2=R_3=1\Omega, and the maximum resistance value of the sliding varistor R is 3\Omega. Input a sinusoidal alternating current across c and d, and the expression of the volt... | [
"The power of resistor R_1 keeps increasing",
"The maximum output power of an ideal transformer is\\frac{10}{3}W",
"When the slider P slides to the b terminal, the power of the entire circuit reaches its maximum",
"The minimum value for ammeter indication is\\frac{5}{23}A"
] | BC | 电磁学_交变电流 | phy |
50870296-1_15 | iVBORw0KGgoAAAANSUhEUgAAAPwAAADiCAIAAADlFT3bAAAgAElEQVR4Ae1dCXxMV/ueNckkmawEkQQRYhf7rhStVovSBf2KKqrVUnyq+ldKqSq1tfblq6qtlta+hdpqV0KsQSSRINtk1sye/zNuck1my0wyM5nl3F9+3HvuuWfOec5z3/ue97znPcyioiIGOQgC3oQAy5saS9pKENAhQEhPeOB1CBDSe12XkwYT0hMOeB0ChPRe1+WkwYT0hANehwAhvdd1OWkwIT3hgNchQEjvdV1OGkxITzjgdQgQ0ntdl5MGO4/0arVao9EQxAkC... | null | null | null | null | As <image_1>shown in the figure, in the plane rectangular coordinate system xOy, the quadrangular OADC is square with a side length of L. The isosceles right-angled triangle ADC area has a uniform strong magnetic field perpendicular to the paper. In the first quadrant, there is a uniform strong magnetic field in an iso... | null | \frac{7}{8}L | 电磁学_电磁感应 | phy |
50870296-1_17 | iVBORw0KGgoAAAANSUhEUgAAAZoAAADhCAIAAAB+9uSCAAAgAElEQVR4Ae19B2BUVfb39D7pPSSQAAk9oXcEWUFFXbHt376i//Wz7+radz/buvtZVncXxbUvdlfFBgqCCCJIhwAhlFSSkDrpmfrezPd7eThM2swk095kzlPjm1fuPe937/u9c84991yxw+EQ0UYIEAKEQPgjIAn/R6AnIAQIAUKAQ0DWPwyuWpu4/8voDCFACBACgkDADZ0RhQmihUgIQoAQ8BIBN3R2pgSWZUtLSzdv3tze3r506dKxY8fKZJ7v8rL6gF4Gt6DNZtuz... | null | null | null | null | As <image_1>shown in the figure, in the semicircular boundary area with point O as the center of the circle and radius R, there is a uniform magnetic field perpendicular to the paper and inward, and the magnetic induction intensity is B. Outside the semicircular boundary region, there are uniform magnetic fields of equ... | null | \Delta t =
\begin{cases}
\left(n-\frac{1}{n}-2\right)\pi m / qB & (n is odd, n=3,5,7\cdots) \\
(n-2)\pi m / qB & (n is an even number, n= 4, 6, 8\cdots)
\end{cases} | 电磁学_电磁感应 | phy |
50220045-1_3 | iVBORw0KGgoAAAANSUhEUgAAARYAAADsCAIAAAA+UR7TAAAgAElEQVR4Ae2dB3wVxfbHb01uKiRASKgJvTcBC7YHgg3FDopKEQX5K4rlKRb02VCxPstDAX367BRFLOBTRFARkCdIlyKIQOglPbnl/907sF5SbnJ399bMfjDu3Z2dOXNmfnPOnJk5x+zxeEzykhyQHNDKAYvWD+V3kgOSAwoHJIRkP5Ac0MUBCSFd7JMfSw5ICMk+IDmgiwMSQrrYJz+WHLBJFkQdB4QR1Ww2+1pTK/6MunpFKcESQlHTcG632+Vy8dfqvaCbn2VlZRaL... | iVBORw0KGgoAAAANSUhEUgAAAPIAAAD2CAIAAABjm03lAAAgAElEQVR4Ae3dB6BcRbkH8Lu3pYcECCBSEgSESBekS1GsgAo8sCBSxAIKvgeo6KMqIiIggopIFAWRAD4FkSJBQYoUBQQiTRIC0kJLb7e93+7ce9jsbVvOlrv3HPRmds7MNzPf/Oc733wz802qq6urIXkSDtQXBxrrqzlJaxIOpDmQwDrBQR1yIIF1HXZq0qQE1gkG6pADCazrsFOTJiWwTjBQhxyoAqw7OjqWLl2aGBbrEE0106Q4YQ2pIOsJkA0/29vbOzs7o/YKP/ro... | null | null | null | As shown in figure (a)<image_1>, a rectangular coordinate system Oxy is established in a smooth insulated horizontal desktop, and there is a uniform magnetic field perpendicular to the desktop in space. A small ball with mass m and charge q moves in a circular motion on the desktop. Parallel light is illuminated in the... | [
"The magnetic induction intensity is\\frac{2\\pi m}{3qt_0}",
"The projected velocity max is\\frac{4\\pi y_0}{3t_0}",
"During the time of 2t_0~3t_0, the projection moves in a uniform straight line",
"During the time of 3t_0~4t_0, the displacement of the projection is y_0"
] | D | 电磁学_磁场 | phy |
50220045-1_12 | iVBORw0KGgoAAAANSUhEUgAAAbgAAADXCAIAAADnfdPfAAAgAElEQVR4Ae3dd6AURbo28Lt3zbpm3TVHzIg5YMQMBlAxASbMqBjWgAEDKkbMWcScMGNAMa+YE4o5Z9esq6J7d+/d7wf1bd++PTOHOTM958ycqf7jnJ7u6nqr3qp66k1V9bt//etf/xGvyIHIgciByIHSHPjP0q/im8iBSjhg6o2zbyWMi9/UMQciUNZx49RB0UDe//zP/7SqIJ988sn777//j3/8IwOXP/3002+//fbf//3frcotJo4cqAcORKCsh1ao3zJAt3feeQfA... | null | null | null | null | As shown in the figure<image_1>, two smooth parallel guide rails that are long enough are fixed on the insulating horizontal plane. The distance between the guide rails on the left and right sides is 2L and L respectively. In the figure, the left side of the OO'is a metal guide rail with no resistance, and the right si... | [
"After giving conductor rods a and b the same horizontal rightward velocity v_0, conductor rod b moves at a uniform speed",
"The speed of conductor bar b when it reaches O0 'is\\frac{6}{5}v_0",
"After collision with the U-shaped metal frame, the conductor bar b is connected together and then performs uniform de... | BD | 电磁学_电磁感应 | phy |
50220045-1_15 | iVBORw0KGgoAAAANSUhEUgAAAQ0AAAFcCAIAAABdonwNAAAgAElEQVR4Ae1dBWBUxxZNVrKRTbJxNxJIgkRw1+JWtLgUp4JTrFAqv2jR4lCKUygFikNxlwAhghN392Ql/7x9sCybBLKWrMz7/eHtezP3zZyZM3fuyB3D0tJSA3IRBAgCH0WA8dG35CVBgCBAIUB4QuoBQeDTCBCefBojEoIgwJITgsobM4ZySibBCQKai4C8PKn+2o+BB3rswVB84V4kEjEYDPzSXJhJyrQcAXl5Us3ZBSUyMzLCwsIyM7O6dOnCMeYIhcIzp0+bmJi0... | null | null | null | null | As <image_1>shown in the figure, the center of the semicircular field-free zone with radius r_0=\sqrt{3}a is at the origin of coordinates O, MN is a collection plate located at x=2a that is long enough parallel to the y-axis, and a uniform strong magnetic field is applied outside the field-free zone on the right side o... | null | The analytical expression of the right boundary function of the magnetic field in the first quadrant is\[ (y-a)^2 + x^2 = (2a)^2 \quad (a \leq x \leq 2a) \], and the analytical expression of the right boundary function of the magnetic field in the fourth quadrant is\[ (y+a)^2 + x^2 = (2a)^2 \quad (\sqrt{3}a \leq x \leq... | 电磁学_电磁感应 | phy |
50108059-1_14 | iVBORw0KGgoAAAANSUhEUgAAAMMAAADxCAIAAAD5r5RbAAAgAElEQVR4Ae2dB2BUxRaGtyebDklIQg299xKa0otUgUdVqgIKiL2hPLFhR0VUUMSCgqIooDQRkCK99ya9hoSE9M229+1eWJbdzbJ3k2w2vHtfHt6dO3PmzJl/zpwpZ0ZuNptl0iNJIN8SUOSbgkRAkoBFAhKSJBwUjAQkJBWMHCUqEpIkDBSMBCQkFYwcJSoSkiQMFIwEVG7JMEEgl8mEf4noMF/AJ08fYa5BLneRhE+2r9YIll/8n3frT0+zkOIVrQTc6ySh4m3Vz4v9... | null | null | null | null | As <image_1>shown in the figure, in the\(xOy\) coordinate system, there is a uniform magnetic field with the direction perpendicular to the paper and inward in a circular area with\(r, 0)\) as the center and\(r\) as the radius. In a sufficiently large region of\(y > r\), there is a uniform strong electric field alon... | [
"The distances of movement in the electric field are equal",
"Eventually, they leave the magnetic field parallel to the direction of launch velocity from the intersection\\(C\\) of the magnetic field boundary and the\\(x\\) axis",
"The total time spent in the magnetic field is equal",
"The total distance from... | ABC | 电磁学_电磁感应 | phy |
50108059-1_18 | iVBORw0KGgoAAAANSUhEUgAAASAAAAE/CAIAAABpYYmZAAAgAElEQVR4Ae2dCXQUVfr209kXAllI2EF2EIZNdhT+igIK44AouBFRRx13HXEZPnVwHOUIHGScceU4ioI6oCMogiCMiAiijAMisokSdghLFpKQ/ft1rrahs3W6bnVVV97SE6qr677L89zn3lvVXW+7ysrKQmQTBAQBcxAINcesWBUEBAE3AiIw6QeCgIkIiMBMBFdMCwIiMOkDgoCJCIjATAS3VtPcYSotLa31NDkheBEQgVnGHeo6derUhg0bRGOWcWC+43DzXYiHKhBA... | null | null | null | null | As shown in the figure, in the\(xOy\) plane, there is a uniform strong electric field downward parallel to the\(y\) axis above the\(x\) axis, and there is a uniform strong magnetic field downward perpendicular to the\(xOy\) plane below the\(x\) axis. There is a charged particle with mass\(m\) and charge quantity\(q\)(\... | null | \frac{4(n-1)L}{3v_0}\left(\sqrt{3} + \frac{2\pi}{3}\right)(n = 2, 3, 4 \cdots) | 电磁学_电磁感应 | phy |
50108058-1_8 | iVBORw0KGgoAAAANSUhEUgAAAMUAAAC+CAIAAAAKv1ylAAAgAElEQVR4Ae2dB4AV1fXwZ+a97ZXOUpciKIiUDxuKjSiWxBKTWJIYNVGJphiN+teIscZuDLYYFEuiscQawQbYNYIoCIKw9KWzu8D2fW/K97szu8PsvLevzBuWXXkTst53751zzz33zLnnnnvPubJhGFL6SVPAJwooPsFJg0lTQFAgzU9pPvCTAml+8pOaaVhpfkrzgJ8USPOTn9RMw0rzU5oH/KRAmp/8pGYaVhASpE1QaT7wTAFZlp3vpuWTkxrpdKoUSPNTqhRMv++k... | null | null | null | null | As <image_1>shown in the figure,\(abcd\) is a square with a side length of\(L\). In the quarter-circle\(abd\) area, there is a uniform magnetic field outward perpendicular to the paper. The magnetic induction intensity is\(B\). A positively charged particle with mass\(m\) and charge\(q\) enters the magnetic field from ... | [
"\\(\\frac{3\\pi m}{4qB} \\leq t \\leq \\frac{\\pi m}{qB}\\)",
"\\(\\frac{3\\pi m}{8qB} \\leq t \\leq \\frac{\\pi m}{2qB}\\",
"\\(\\frac{\\sqrt{2}qBL}{m} \\leq v \\leq \\frac{qBL}{m}\\)",
"\\((\\sqrt{2}-1)\\frac{qBL}{m} \\leq v \\leq \\frac{qBL}{m}\\)"
] | D | 电磁学_电磁感应 | phy |
50108058-1_19 | iVBORw0KGgoAAAANSUhEUgAAASwAAADLCAIAAABbKTmsAAAgAElEQVR4Ae3dd7wcVdkHcCsW4BUSQUSkClIEJaB0gYAUMRhKkJCg0iwkGppAAh8EE4r0IJ3EREqQZiCUBEMgJGCUooAE6WIIoIKIKNjl/cLRyXJz7+7m3tnZ2b3P/LF37uzsmXN+5/zmec7zPOc5b33ttdfeEkcgEAg0D4G3Ne/R8eRAIBB4HYEgYYyDQKDJCAQJm9wB8fhAIEgYYyAQaDICQcImd0A8PhAIEsYYCASajECQsMkdEI8PBIKEMQYCgSYjECRscgfE4wOB... | null | null | null | null | As shown in the figure<image_1>, there is a uniform magnetic field (not shown in the figure) perpendicular to the paper in the area of the right triangle\(ABC\), and the side length of\(AC\) is\(l\),\(\angle B\) is\(\frac{\pi}{6}\), a group of specific charges is\Negatively charged particles of (\frac{q}{m}\) are injec... | [
"The magnetic induction intensity is\\(\\frac{5\\pi m}{12qt_0}\\)",
"The orbital radius of the particle's motion is\\(\\frac{\\sqrt{3}}{3}l\\)",
"The velocity at which a particle enters the magnetic field is\\(\\frac{5\\sqrt{3}\\pi l}{42t_0}\\)",
"The area swept by the particle in the magnetic field is\\(\\fr... | ACD | 电磁学_电磁感应 | phy |
50108058-1_20 | iVBORw0KGgoAAAANSUhEUgAAAQYAAADmCAIAAAC4ZLxdAAAgAElEQVR4Ae2dB4BcVbn4506f2dlesiW9h5CEhJBASEKQYAAJRRClKTxU0Cf69D2RZ8OCivj0+VBBsYEiSPMvRXpJSA8hENIb6ZvNZnuZeu/M/3fu3Z2d3Z3ZMjv3stm91zXcueec73znO993vu983ylSLBazmI9JAZMC7RSwtr+Y/zUpYFJAUMAUCZMPTAp0ooApEp3IYf4wKWCKhMkDJgU6UcAUiU7kMH+YFLD3gQSJLimpD/nNLCYFTmEK9EUkOsQAjy1PNBqlxbzE... | null | null | null | null | As <image_1>shown in the figure, ABCD is a square with a side length of, and\hat{BD} is a\frac{1}{4} arc centered on point A. The space between BC, CD and\hat{BD}(including the boundary) is filled with a uniform magnetic field with a magnetic induction intensity of B inward in the plane where the vertical square is loc... | [
"The particle velocity is\\frac{(3-2\\sqrt{2})qBl}{m}",
"The particle velocity is\\frac{(3-\\sqrt{2})qBl}{m}",
"If the emission speed of the particle is increased, the time for the particle that can return to point A to move in the magnetic field remains unchanged.",
"If the emission speed of the particle is ... | AD | 电磁学_电磁感应 | phy |
50108058-1_25 | iVBORw0KGgoAAAANSUhEUgAAAPAAAADvCAIAAABDt86LAAAgAElEQVR4Ae2dB2BUxdbHt++mQ0KAUBNAEJCOIMWGYsf27AXr+55i94kNuz58+uy9tyfCU0FE7B1FAQGl995LCCHJ7ibbvt+9k9wsW2+ym23Z+3zh7r1zz8yc+c+ZM2fOnNF6PB5N+kpzIFU4oEuViqTrkeaAxIE0oNM4SCkOpAGdUs2Zrkwa0GkMpBQH0oBOqeZMVyYN6DQGUooDaUCnVHOmK5MGdBoDKcWBNKBTqjnTlUkDOo2BlOKAIaVqk9iVcddduBtotVqlsNzr... | null | null | null | null | As <image_1>shown in the figure, the radius of the circular area is R, and there is a uniform magnetic field facing outward perpendicular to the paper. The magnitude of the magnetic induction intensity is $B=\frac{mv}{qR}$. There is a particle source located at the lowest point P of the magnetic field boundary. At the ... | [
"All particles eventually leave the magnetic field with parallel velocities",
"All particles collide with the right baffle and eventually all leave the magnetic field from point D",
"The longest time for a particle to move from point P to point D to leave the magnetic field is $t=\\frac{\\pi R}{v}$",
"The ave... | D | 电磁学_电磁感应 | phy |
50108058-1_37 | iVBORw0KGgoAAAANSUhEUgAAAZkAAAFWCAIAAAA0eXf4AAAgAElEQVR4AeydB4AURdbHd2Y25wSbd1lAEBBRUZGcgwGzgojxTGc8c7g77/Q74xkwgTmfOZAzogRBQKIoCGzOgQ1s3gnfr6eWZpid3ZldZjbMVHu39HRXV736V9W/33v1qlpjMpm85CERkAhIBLo5AtpuLr8UXyIgEZAIKAhILpP9QCIgEXAHBCSXuUMryjpIBCQCkstkH5AISATcAQHJZe7QirIOEgGJgOQy2QckAhIBd0DA26ISNoMzNBYJ5KlEQCIgEeiiCFhymaSt... | null | null | null | null | As <image_1>shown in the figure, there is a uniform magnetic field (magnetic field at the boundary) perpendicular to the paper with magnetic induction intensity of B in the polygonal area. The particle source P can emit particles with mass m and charge +q to the right along the bottom edge, with different particle rate... | [
"Particles emitted by particle source P can reach a boundary length of 3a",
"Particles emitted by particle source P can reach a boundary length of 4a",
"The shortest time for a particle emitted by the particle source Q to first reach a boundary (other than the boundary where Q is located) is $\\frac{\\pi m}{3qB... | AC | 电磁学_电磁感应 | phy |
50280545-1_9 | iVBORw0KGgoAAAANSUhEUgAAAbMAAACpCAIAAAAutUSZAAAgAElEQVR4Ae2dB3hUxRbHd7NpkAAC0hFCk440QQVBwIYFUBGVJu9hQfShiAVExYL6lKdiAVFEioKiSJVuo6tIExREQAEhgPSWnrzfZmBZbpLdm927u/funvvly3f3lrln/jPznzPnnJmx5+Tk2OQQBAQBQUAQcEMgyu1cTgUBQUAQEAScCAgzSj0QBAQBQUCLgDCjFhH5LQgIAoKAMKPUAUFAEBAEtAgIM2oRkd+CgCAgCAgzSh0QBAQBQUCLgDCjFhH5LQgIAoKAMKPU... | iVBORw0KGgoAAAANSUhEUgAAAVgAAACuCAIAAAD8soKnAAAgAElEQVR4Ae2dB3xcxbX/d+/2qmq5F7lXGXfjgksooZoaOqGbBwlplDwIkALk/5JHCyGQ8CCmd7ApMc29927ce7dklV1tL//v3Sut15Isa5u23Wt91ndn586d+c2ZM2fOOXNGGQwGFfIlIyAjkNsICLndfLn1MgIyAiICMiOQ6UBGQEZAZgQyDcgIyAjIEoFMAzICMgIgIC8NZDKQEZARkBmBTAMyAjICskQg04CMgIwACMhLA5kMZARkBGRGINOAjICMQLIlAtltUaYx... | null | null | null | For example, Figure A shows a vacuum oscilloscope tube. Electrons are emitted from the hot filament K (the initial speed is not counted), accelerated by the accelerating voltage between the filament and the plate, emitted from the center hole of the plate along the center line, and then entered two parallel metal plate... | null | $y=(1+\frac{BL}{4}\sqrt{\frac{2e}{mU_0}})x$（$-\frac{L}{Bd}\sqrt{\frac{mU_0}{2e}}\leq x \leq \frac{L}{Bd}\sqrt{\frac{mU_0}{2e}}$） | 电磁学_电磁感应 | phy |
51713393-1_25 | iVBORw0KGgoAAAANSUhEUgAAAlkAAACeCAIAAACO6Ig1AAAgAElEQVR4Ae2dB3wU1RaHE0JJCCn0DgGpj9AJHRKahBIE6YJ09ClSpeuTqiCooDQRlc5TOgpSpLfQe5cWkBoSQhLSy/s2o/tiGrvJ7mYme+YXlil37j33f2fumXPuKbbx8fE2sgkCgoAgIAgIAlaMQDYr7rt0XRAQBAQBQUAQ0CEgvFCeA0FAEBAEBAFrR0B4obU/AdJ/QUAQEAQEAeGF8gwIAoKAICAIWDsCwgut/QmQ/gsCgoAgIAgIL5RnQBAQBAQBQcDaERBeaO1P... | iVBORw0KGgoAAAANSUhEUgAAANQAAACwCAIAAAD42dcDAAAgAElEQVR4Ae2dCZyN1RvHzT6DGbtsQ0P2bDP2IlGIUFLKMpQke2VJCyp7pFVIhEYSIbKMxhZNaMHYjZ3pX4zIzGjM+v/OHPN6u3PnrnPf+9475/34jPOe9yzPec7vPuec5zznOR6ZmZmF5CM54AwOeDqjUlmn5EAWByT4JA6cxgEJPqexXlZc0MGXcONG9E8/yYmvU34JdoHv0qVLLt1tqampa9euDe/Txymsl5XaDr6UlJSBAwfGxsbajL+0tDQKUfeBzUWpC7E87OPj... | null | null | null | As <image_1>shown in the figure, there are two small blocks $A$and $B$with masses of $m_A = 2kg$and $m_B = 1kg$respectively on the smooth horizontal ground. They are connected with thin wires and the light spring in the middle is in compressed state (the spring is not bolted to the two blocks), and the elastic potentia... | null | \frac{16}{15}m | 力学_动量及其守恒定律 | phy |
51713393-1_24 | iVBORw0KGgoAAAANSUhEUgAAAmIAAACNCAIAAACbuYHPAAAgAElEQVR4Ae3dB5xkVZUH4Ok8OQ/DzBAGGKK4igKCgqKAKLoGREVllbArYkRZIyIirCyIy7IqKAiysqKiCAiIAoKg5CiSJA5BGOIQJvRMh9mv+sL1+aqnp7u6qrqq+j7mV7x+78Zzzz3/c849976mVatWjUlXokCiQKJAokCiQKJAfxRo7u9hepYokCiQKJAokCiQKFCgQILJxAeJAokCiQKJAokCq6VAgsnVkia9SBRIFEgUSBRIFEgwmXggUSBRIFEgUSBRYLUUSDC5... | null | null | null | null | As <image_1>shown in the figure, the left and right ends of a horizontal conveyor belt are smoothly connected to the horizontal ground. The ground on the left side is rough and the ground on the right side is smooth. The distance between the two axles of the conveyor belt is $L = 5.5m$, and the conveyor belt is driven ... | null | \frac{32}{3}J | 力学_动量及其守恒定律 | phy |
51713393-1_23 | iVBORw0KGgoAAAANSUhEUgAAAa8AAACSCAIAAAB9mtKRAAAgAElEQVR4Ae1dB0AURxfm6L1IVbFQREAsGAUE7L3EHrD3qFGxGzX22LsxiV1jNIm9JWpiF/2t0VhiR8VG750D7u7/9hbPZfcAIYdw8Pb3J7s7M2/efDPzzZs3s3MimUymQRchQAgQAhUeAc0KjwABQAgQAoQAgwCxIbUDQoAQIAQYBIgNqR0QAoQAIcAgQGxI7YAQIAQIAQYBYkNqB4QAIUAIMAgQG1I7IAQIAUKAQYDYkNoBIUAIEAIMAsSG1A4IAUKAEGAQIDakdkAI... | null | null | null | null | As <image_1>shown in the figure, the wooden board $B$with a mass of $m is placed flat on a smooth horizontal surface, and a small ball $A$with a mass of $2m$is placed at a height of $h $just above the leftmost end of the wooden board. At the initial moment, the small ball $A$is given a horizontal and right-to-right ini... | null | \frac{v_0}{3}\sqrt{\frac{2h}{g}} | 力学_动量及其守恒定律 | phy |
51713393-1_22 | iVBORw0KGgoAAAANSUhEUgAAAnAAAACNCAIAAAC44tAaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4nOydZ1gUSdewZxhgCDOEIc4MaYYMEkQkSBSRJCKiawKz7q45rBkE9TGHx4xrjmvCAIqACAiCCCiCiSgiOec4obu/H/2+vPtN9e6iC2Ko++IH13Sfrurq6jp1Tp0+RV6/fj0JAoFAIBDIv4OMYdhQ1wECgUAgkG8esaGuAAQCgUAg3wNQoUIgEAgEMgBAhQqBQCAQyAAAFSoEAoFAIAMAVKgQCAQCgQwAUKFCIBAIBDIA... | null | null | null | null | As <image_1>shown in the figure, a slope $OAB$with a mass of $2m$and an inclination of $\theta$is fixed on the smooth horizontal surface. There are $n$blocks with a mass of $\frac{m}{2}$on the right side of the slope. The slider with a mass of $m$is released from rest from the top of the smooth slope $A$.$ OA=h$，$g=10m... | null | \frac{4}{15} | 力学_动量及其守恒定律 | phy |
51713405-1_10 | iVBORw0KGgoAAAANSUhEUgAAAYUAAAERCAIAAAAbtixKAAAgAElEQVR4AeydB5zURBuHb693ei/Se69SRRS7AooiiJUmYMUuAlZUxIqifqA0EREVQUURURGQKkiRDkfvd3C97u733I3mwiab2367m+SHZ3YyM5l5k/nn7WOyWq0hxmFQwKCAQQE/oECoH4zBGIJBAYMCBgUKKWDgkfEeGBQwKOAvFDDwyF+ehDEOgwIGBQw8Mt4BgwIGBfyFAgYe+cuTMMZhUMCggIFHxjtgUMCggL9QwMAjf3kSxjgMChgUMPDIeAcMChgU8BcKGHjk... | null | null | null | null | As <image_1>shown in the figure, the number of turns of the coil is $n$and the area is $S$, and its two ends are connected to the two poles of the parallel plate capacitor $M$and $N$. There is a magnetic field in the coil that runs inwards perpendicular to the paper. The relationship between the magnitude of the magnet... | null | \frac{10\pi m}{9eB} | 电磁学_静电场 | phy |
51713405-1_14 | iVBORw0KGgoAAAANSUhEUgAAAiQAAAEICAIAAADgF3j3AAAgAElEQVR4AexdBUBUSxRl6e7usMDu7m5MBDFQDET9doKIgoXd3R3Y3d0N2ChKd/ey/yxPl3UJ2WKDed+/zJs3c+fOmffmTtx7h8ZgMGTIRRAgCBAECAIEAWEiICtM4oQ2QYAgQBAgCBAEmAgQYUPeA4IAQYAgQBAQOgJE2AgdYlIAQYAgQBAgCBBhQ94BggBBgCBAEBA6AhUkbKCGgOvC+QvfQ0MRQLXS09IDT5369vUbdSv0ipICCAIEAYIAQUB0CFSQsFm+dGmr5s1d... | null | null | null | null | As <image_1>shown in the figure, the $O-xyz$coordinate system is established with $O$as the coordinate origin. The positive direction of the $x$axis is horizontal to the right, the positive direction of the $y$axis is vertical to the right, and the positive direction of the $z$axis is vertical to the paper outward (not... | null | 4n\pi \times 10^{-2}\mathrm{m} (n=1,2,3......) | 电磁学_磁场 | phy |
52927148-1_2-1 | iVBORw0KGgoAAAANSUhEUgAAAeoAAAEcCAIAAACHxGBpAAAgAElEQVR4Ae2dB7gTRdfHpV16773zAoLSe5ciSJNeBOkCClKkIyDFAtKLgAgqIL0JiPRepEtHuAIXUOnl0pvfD/f94r5JbrJJJskmOXl4LpvdmTMz/9mcPXtqtL///vsV+QgCgoAgIAgEGgLRA23CMl9BQBAQBASBlwgI+5b7QBAQBASBgERA2HdAbptMWhAQBAQBYd9yDwgCgoAgEJAICPsOyG2TSQsCgoAgIOxb7gFBQBAQBAISAWHfAbltMmlBQBAQBGIGHASRkZEP... | null | null | null | null | As <image_1>shown in the figure, an ideal transformer with adjustable number of primary and secondary coil turns has an AC power supply with constant effective value at its input terminals $a$and $b$. It is known that the resistance of fixed resistor $R_1$is $R$, and the maximum resistance of sliding rheostat $R_2$is $... | [
"Keep the positions of $P_1$and $P_2$unchanged. During the process of $P_3$sliding upwards slowly,$U$remains unchanged and $I$increases",
"Keep the positions of $P_1$and $P_2$unchanged, and while $P_3$slowly slides upwards,$\\frac{\\Delta U}{\\Delta I}$continues to decrease",
"Keep the positions of $P_1$and $P_... | C | 电磁学_交变电流 | phy |
52927146-1_6 | iVBORw0KGgoAAAANSUhEUgAAAUEAAAFPCAIAAABcZusWAAAgAElEQVR4Ae3dB4BkRZkH8OkJm1jycmRZkCAiHghiOESE40RMoJyIHMKpqBjPQ0FEBREMmFAMwB1IEgHhEBBBRRAliSBJFJQcdwkL7BJ2Z3Zm7tdTO4+m0/R0v+nwup4y+7pevQpf1b++UF99Lzc6OtoTr0iBSIGOpUBvx7Y8NjxSIFIgT4GI4TgPIgU6mwIRw509frH1kQIRw3EORAp0NgUihjt7/GLrIwUihjt+DgwNDS1ZsqTjuxE7UC8FIobrpVx7vDc4OHjLLbf8... | null | null | null | null | As <image_1>shown in the figure, there is a circular area with a radius of $a$in the coordinate system $xOy$, and the center of the circle is the origin $O$. There is a uniform magnetic field perpendicular to the paper and the magnitude of the magnetic induction intensity is $B$. Above the straight line $y=a$there is a... | [
"The initial velocity of a particle entering the magnetic field is $\\frac{qBa}{2m}$",
"The minimum area of a rectangular uniform electric field region is $\\frac{qB^2a^3}{2mE}$",
"The shortest time for a particle to move from $A$point to $C$point is $\\frac{\\pi m}{qB}+\\frac{2Ba}{E}$",
"During the entire pr... | C | 电磁学_电磁感应 | phy |
52927143-1_2-3 | iVBORw0KGgoAAAANSUhEUgAAAaoAAADaCAIAAAB4uJHUAAAgAElEQVR4Ae2dB2AVxdbH03sPIaF3kKL0IoL66dMnFsSCCupTQQFBpYmIoqAoqCAgSrdQVFAEaRZ6R7r0XkNLQiC9t+9378IybMIlPfcmZx8vzj07O3PmPzP/OdPts7Ky7OQRBAQBQaDsIeBQ9pIsKRYEBAFBwISA0J+UA0FAECijCAj9ldGMl2QLAoKA0J+UAUFAECijCAj9ldGMl2QLAoKA0J+UAUFAECijCDiV0XRLsgUB60aA9Wj6mjR7VLXnf3baIjVNbm+WWHci... | null | null | null | null | As shown in the figure<image_1>, a wooden board $C$with a mass of $m_2=1\mathrm{kg}$and a thickness of $h=0.45\mathrm{m}$is stationary on the smooth horizontal ground, and a vertical smooth circular arc track with a radius of $R=0.75\mathrm{m}$is fixed on the horizontal ground to the right of the wooden board $C$. The ... | null | Block $M$will fall on the board, block $N$will not fall on the board,$2.1\mathrm{m}$ | 力学_动量及其守恒定律 | phy |
52927143-1_2-6 | iVBORw0KGgoAAAANSUhEUgAAAbMAAABiCAIAAABVmqruAAAgAElEQVR4Ae3dB5yeVZU/cFInk55ACukFQgsQSIBQQlVABBWkrYACK4gFV3FlFXVFcQFdxbKuYkMRkFVZRUARWHpvoVeBBJKQkB7SJ+3/nbnm/i/3fRNJZgZmwn0/fIZn3vOce8/9nXN+59ynTNqsWbNms/IpCBQECgIFgQSBtslxOSwIFAQKAgWBegQKM5Y4KAgUBAoCOQKFGXNENrHfXS2pq6t74YUX7rvvviVLloSLJ35Omzbt+uuvf/HFF8vllE3M42U5TYJAYcYm... | null | null | null | null | As <image_1>shown in the figure, a wooden board with a mass of $M$and a sufficient length is still on the smooth horizontal ground. A slider with a mass of $m$rushes onto the wooden board from the leftmost end at a speed of $v_0$. The dynamic friction between the slider and the wooden board is $\mu$, and the gravitatio... | null | \frac{13}{27}mv_0^2 \leq Q_1 \leq \frac{1}{2}mv_0^2 | 力学_动量及其守恒定律 | phy |
51551981-1_2-03 | iVBORw0KGgoAAAANSUhEUgAAAUIAAAFkCAIAAADaOqXgAAAgAElEQVR4Ae2dB4BVxfX/97XtvbB9WTpIERVBYgELijWmahJTjMaSqCmmmaZ/f7HFmNhb7L1TFEQ6CNJFQRBEWJbdZXvvu6/8P3Nn9/FY3u4r++oy12S57965M2e+M985Z86cO1dns9ki1KEQUAiEMwL6cBZeya4QUAgIBBSNVT9QCIQ9AorGYd+EqgIKAUVj1QcUAmGPgKJx2DehqoBCwKggUAiAAAsWcs1Cnuh0Or1ez18FTlggoGgcFs3kXyGt2mGxWMxmc319fWVl... | null | null | null | null | As <image_1>shown in the figure, there is a uniform magnetic field with a large enough range on one side of the straight line boundary on the smooth horizontal desktop. The magnetic induction intensity is\(B\), and the direction is perpendicular to the desktop and downward. A unit square wire frame\(abcd\) with side le... | [
"The direction of the induced current is\\(a \\to b \\to c \\to d \\to a\\)",
"The ampere force applied to the lead frame first increases uniformly and then decreases uniformly",
"The amount of charge passing through the cross-section of the conductor of the leadframe is\\(\\frac{Bl^2}{2R}\\)",
"The heat gene... | AD | 电磁学_电磁感应 | phy |
51562820-1_6 | iVBORw0KGgoAAAANSUhEUgAAAWgAAAENCAIAAACtvmhrAAAgAElEQVR4Ae2dB2AVVdbHZ15PL4QQahIggIAURURRQcW1IaLY93Ptu+ruir33ta1lbbu2de2uawN7QQVE1EVFpCu91xBCQpJXZ77fvJHZR0jCy8srMy93lo3zZu7ccu69/3vuOeeeI6uqKolLUEBQQFCgNRSwtSaxSCsoICggKKBRQACHGAeCAoICraaAAI5Wk0x8ICggKCCAQ4wBQQFBgVZTQABHq0kmPhAUEBQQwCHGgKCAoECrKSCAo9UkEx8ICggKCOBoX2NAUZRQ... | null | null | null | null | As <image_1>shown in the figure, the spatial rectangular coordinate system\(Oxyz\)(z axis not drawn, positive direction outward), a circular area with radius of\(R\) in the\(xOy\) plane is tangent to the y axis at the point\(O\), and the center of the circle is\(O_1\). The uniform magnetic field in the area is along th... | null | \left( \frac{3(2n+1)\pi B_1 R}{5B_2} + \frac{\pi^2 m E (2n+1)^2}{2qB_2^2}, 0, \frac{8B_1 R}{5B_2} \right) (n = 0, 1, 2 \cdots) | 电磁学_电磁感应 | phy |
51562820-1_11 | iVBORw0KGgoAAAANSUhEUgAAAVIAAAFuCAIAAABcDwduAAAgAElEQVR4AexdB2BUxdbe3tN7JQXSCC0Qem+hg3Sl6M9TsSAWpIoK2MCGYgFEVFQQpClF6U1670lI771nd5Ot/3d3k82mFzZsydzHi3fPPTNz5ps5U8+coavVahp5CAIEgbaEAKMtZZbklSBAEKAQIGpP6gFBoM0hQNS+zRU5yTBBgKg9qQMEgTaHAFH7NlfkJMMEAaL2pA4QBNocAkTt21yRkwwTBIjakzpAEGhzCBC1b3NFTjJMECBqT+oAQaDNIUDUvs0VOckwQYCo... | null | null | null | null | As <image_1>shown in the figure, in the\(xOy\) plane rectangular coordinate system, there is a circular uniform magnetic field area perpendicular to the paper surface in the second quadrant.\(O_1\) is the center of the circle, the radius is\(R\), and the magnetic field boundary is tangent to the two coordinate axes; Un... | null | \(\frac{B_0}{2} \sqrt{\frac{qd}{mE_0}}\) | 电磁学_电磁感应 | phy |
51562820-1_13 | iVBORw0KGgoAAAANSUhEUgAAAlEAAAERCAIAAADUrmV4AAAgAElEQVR4Ae2dB2Ac1Z3/d7YXrXqXZVnVcu82Ni6ATbFpNoYQAoGQCyGE3D8hhCMhF5IcSS7AJTkuuRASQpILJXRjeg/dBdu44Co32ZLVe1lt/X/fjHa1llbySrta7Wq/EyLPzpv33u993sz7zuuSx+NR8SABEiABEiCBOCCgjoM0MokkQAIkQAIkIAhQ8/gckAAJkAAJxAsBal685DTTSQIkQAIkQM3jM0ACJEACJBAvBKh58ZLTTCcJkAAJkAA1j88ACZAACZBAvBCg... | null | null | null | null | Modern scientific instruments often use electric and magnetic fields to control the movement of charged particles. As <image_1>shown in the figure, in the vacuum coordinate system\(xOy\), there are two areas with borders parallel to each other and widths of\(d\) in the second quadrant. They are respectively distributed... | null | $\left( \frac{[(4n+1)\pi + 2\sqrt{3}]mv_0}{2qB_1}, -\frac{\sqrt{3}mv_0}{qB_1} \right)$ and $\left( \frac{[(4n+3)\pi + 2\sqrt{3}]mv_0}{2qB_1}, \frac{\sqrt{3}mv_0}{qB_1} \right)$ for $n = 0, 1, 2, \cdots$ | 电磁学_电磁感应 | phy |
51562820-1_17 | iVBORw0KGgoAAAANSUhEUgAAAj4AAAEYCAIAAADTTWtNAAAgAElEQVR4Ae2dB5wcxZn2J2/OWRu0ymGVs5CQhIQEIogcDEf6bOzD2D8f9hnubLDPvgNsn8E2Bs4EG2OSySAkQAiBJJRzWEmrsKvNOe/OzE7s7+lpabTamQ2TZ3qfPp+Y7a6urvpXdT31Vr1VrRQEQcGDBEiABEiABCKHgCpyksqUkgAJkAAJkIBIgNLFekACJEACJBBhBChdEVZgTC4JkAAJkACli3WABEiABEggwghQuiKswJhcEiABEiABShfrAAmQAAmQQIQRoHRF... | null | null | null | null | As <image_1>shown in the figure, in the\(xOy\) plane rectangular coordinate system, there is a vertical downward uniform strong electric field in the second quadrant, and the electric field strength\(E_1 = 20 \text{V/m}\), the magnitude of magnetic induction in quadrants 1 and 4 is\(B = 2.0 \text{T}\), a uniform strong... | null | \(5(1+\sqrt{3}) \text{m/s}\) | 电磁学_电磁感应 | phy |
51562820-1_18 | iVBORw0KGgoAAAANSUhEUgAAAdQAAADzCAIAAACwm3ABAAAgAElEQVR4Ae2dB2BURROAU0lC6B0s9CZVEBFEmgUEVBAQRbGiYsPesGLnV1EsiIqKioCoiKCAAkqR3ouA9F5DID2XK/m/sLA+rrx7790luUv2fv743r7Z2dnZ3dnZ2d2ZyNzc3Aj1UxxQHFAcUBwoWA5EFWxxqjTFAcUBxQHFgTwOKOGr+oHigOKA4kAhcEAJ30JguipScUBxQHFACV/VBxQHFAcUBwqBA0r4FgLTVZGKA4oDigNK+Ko+oDigOKA4UAgcUMK3EJiuilQc... | null | null | null | null | As <image_1>shown in the figure, in the planar rectangular coordinate system yOx, the center of the quarter-dotted arc AB is at the coordinate origin O, and the two points A and B are on the y-axis and the x-axis respectively; there is a uniform magnetic field perpendicular to the paper surface and outward with a magne... | null | \(\frac{(2+\pi)mv_0}{qB_0}\) | 电磁学_电磁感应 | phy |
51562820-1_19 | iVBORw0KGgoAAAANSUhEUgAAAS8AAADzCAIAAABYNwdvAAAgAElEQVR4Ae1dB3hURddO77333oCEEiBAAqGEHlEpooIiAnaKCoIICNj9AfH7FBAFpEv1E6T3XgMphPROekJ6203Z/717ybLZJJu9W242m7kPD5m9d+acM++cM+VMU+fxeGrkIQgQBJQAAQ0lkIGIQBAgCFAIEGskekAQUBYEiDUqS0kQOQgCxBqJDhAElAUBYo3KUhJEDoIAsUaiAwQBZUGAWKOylASRgyBArJHoAEFAWRCQ0hqxZqDTlw0QGZ4pESmLZmvqdJ1sFkTK... | null | null | null | null | As <image_1>shown in the figure, in the region of\(0 \leq x \leq4d, 0 \leq y \leq4d\) in the\(xOy\) plane, there is a uniform strong field with a field strength of\(E\) along the positive direction of the y-axis. There is a uniform strong magnetic field extending perpendicularly to the paper surface around the electric... | null | \(\left( \frac{2\sqrt{14}}{3}d, 4d \right)\) | 电磁学_电磁感应 | phy |
51562820-1_20 | iVBORw0KGgoAAAANSUhEUgAAAXcAAAFfCAIAAAA6XRvyAAAgAElEQVR4Ae3ddbwkRbI2YAbXxd3d3d2dZdDFYXF3d1t28AV2cLdFBncbYHB3d3d353v21r3166+l5nR3dXednjh/zFRnZWVGvln5VkRkZGafP//8c6j4CwQCgUCgZQgM3bKSo+BAIBAIBP6LQLBMvAeBQCDQWgSCZVqLb5QeCAQCwTLxDgQCgUBrEQiWaS2+UXogEAgEy8Q7EAgEAq1FIFimtfhG6YFAIBAsE+9AIBAItBaBYJnW4hulBwKBQLBMvAOBQCDQWgSCZVqL... | null | null | null | null | As <image_1>shown in the figure, two thin metal plates\(M\) and\(N\) with a length of\(L\) are placed opposite the y-axis. A voltage\(U_{MN} = U_0\) is applied between the two plates. A slit parallel to the y-axis is opened on the two plates, and the slit is located in the paper.\ The distance between the lower edges o... | null | 65 times | 电磁学_电磁感应 | phy |
51541378-1_1-02 | iVBORw0KGgoAAAANSUhEUgAAAagAAADKCAIAAAB/m0NyAAAgAElEQVR4Ae3dB7hU1fU28KDYSwRLVOzGFpNgieVvwxILir1hibEXLBGNJWqMNYoaLBEsRIMNC0EJKGLAxIIFoyhiw4JdsWFDsfP95DzfcTJ37jB37pm5M3fWPDyXM2f22Xvtd5/znrXXWnvtDtOnT/9RfAKBQCAQaCQEZmmkzkZfA4FAIBD4HoGOhWBIdMAO//tTU8Uwr8D/Fo9vgUAgEAjUKgIFia8goxU8WavdCrkCgUAgEGgegZjqNo9NoV+YRMMqWgiYOBcI1BMC... | null | null | null | null | As <image_1>shown in the figure, the coordinates of the center of the circle are the radius of the semicircle (r = 0.08 text{m}) of the origin O, and the radius of the arc (R = 0.1 text{m}) of the center coordinate of the circle is (0,0.06m), and there is a magnitude of magnetic induction intensity (B_1 = 0.1 text{T}) ... | null | \(\left( \frac{4 + \sqrt{6} - \sqrt{2}}{2} \right) \times 10^{-2} \, \text{m}^2\) | 电磁学_电磁感应 | phy |
51541378-1_2-1 | iVBORw0KGgoAAAANSUhEUgAAAYcAAADoCAIAAACLqb8SAAAgAElEQVR4AeydB2BVRdbH7+vJS3upECAQelOUoiB2URS7oK7rLipi20/XvmtZF3Wta9+1rWtvawUsqNgARUVEQRDpvYT0/nr7fnPnvZublxAIJDHlXcJ9c+dOPXPOf86cmTtjCIfDSvyKUyBOgTgF2g0FjO2mJPGCxCkQp0CcAoICcVSK80GcAnEKtC8KxFGpfbVHvDRxCsQpYG4OCbBAGRRFu+8uKmHiV5wCcQrEKbCPFDDErd37SLl4tN+UAvAtl0G9ftOCxDNveQrE... | iVBORw0KGgoAAAANSUhEUgAAAcgAAADbCAIAAABm9pY8AAAgAElEQVR4AeydBYDcxfXH13dPc35JLnIXhyjxhABJoDiB4g4JVqBYKRT3AqVAKfQPoYUUdydGlARJiLu7XHKuu7e+/8/s5H63fnuXu1h/Q9j7ycib95v5zps3b95ofT6fRg0qB1QOqBxQOdByHNC1XFZqTioHVA6oHFA5IDhgUNkQJwcQ7Z1Op1arNRgMOl3TBiTSklAWJKcIgbdut9vj8ej1enJWnsdJlRpN5YDKgSOQA00DiCOwAoeGJNAQ7PvHP/7x8ccfV1ZWci0D... | null | null | null | The schematic diagram of the working principle of a medical cyclotron is shown in Figure A<image_1>. Its working principle is: under the action of the magnetic field and the alternating electric field, charged particles repeatedly perform cyclotron motions in the magnetic field, and are repeatedly accelerated by the al... | [
"The accelerated particles are positively charged",
"The magnetic induction intensity of the uniform magnetic field between the magnets is\\(\\frac{\\pi}{2kt_0}\\)",
"The maximum momentum of the particle being accelerated is related to the radius of the D-box",
"the numb of times a charged particle is acceler... | BCD | 电磁学_电磁感应 | phy |
51541378-1_4-03 | iVBORw0KGgoAAAANSUhEUgAAAS0AAADDCAIAAABYuND/AAAgAElEQVR4Ae3dB5ykRbEA8I23lwOHHJkjCnjkJCB4BEkqIAoCEhUQUNBHEkEepgcqYHoCgiRBeRIUlZxBJIcDyemOI4cLcHHvNsz7z/bdd8PM7OzM7KTd/T74zX3bX3d1dXVVV3V1dXd9IpGoi5+YAjEFqkqBhqrWHlceUyCmQJICsRzGfBBToPoUiOWw+n0QYxBTIJbDmAdiClSfArEcVr8PYgxiCjRlIwEPan1dXfj1Pc2h6lP8xBQoJQU6OztbW1s//PBDQMeNG9fQ... | iVBORw0KGgoAAAANSUhEUgAAAQ8AAAB5CAIAAACoQTMBAAAWdklEQVR4Ae1dCXgV5bmeM+fM2bMQCEkEZBEQWePCorYuta0i8tSqrVV7vQhXhVYfa6tXr6W9etVbl7pQFaXq9VF7a11QpN4r2iK9VosbsgcCURKWAEkIITnb7Pf952ia4jkwOTMnc+bkm4cnTCYz83//+3/v933/9y/j0XWdo4MQIARMIMCbuIduIQQIAYYAsYX0gBAwiwCxxSxSdB8hQGwhHSAEzCJAbDGLFN1HCBBbSAcIAbMI+EzeiESzLMv4icPkI3QbIeA6BDwe... | null | null | null | As <image_1>shown in the figure is a simple model diagram of a magnetic fluid generator. The power generation channel is a rectangular cavity with the length, height and width of\(l\),\(a\), and\(b\) respectively. The front and rear sides are insulators, and the upper and lower sides are conductor electrodes. These two... | [
"When the switch is closed and open, the potential of the upper plate is higher than that of the lower plate after stabilization",
"Let the resistivity of the plasma be\\(\\rho\\), and when the circuit is not connected, the resistance to the plasma is\\(f\\). After the circuit is connected, the pressure differenc... | AC | 电磁学_电磁感应 | phy |
51541378-1_5-2 | iVBORw0KGgoAAAANSUhEUgAAAfgAAAFnCAIAAADFesy+AAAgAElEQVR4AeydB3wVVfbH00lCCKF3SAQFFERsuCiKYBfsDeva//ay6qrYu2vDBta1raJYF0WxINKkqIigriBFSkhIgCSk1/f/zrswmbw65b6XecmdD8Z5M7ecc+7M754599xz4j0eT5w6lASUBJQElARargQSWi5rijMlASUBJQElAU0CCuglPwfqC0myQFVzSgJKAo4loIDesQgNDTQ0NBQVFfHXcE2dKgkoCSgJNLMEFNBLGwDwvaqq6r777isoKFB6vTSxqoaUBJQE... | iVBORw0KGgoAAAANSUhEUgAAATEAAAC0CAIAAABzDYzgAAAgAElEQVR4Ae2dB3iURf7Ht6X3HggEEop0pAiCvWFXDlQQUDnLASIKeocKdvFOPE9O1EP9c6eHng3Phgp6CqiAIE2UjtKUUJIQEtLL7v/z7piXJYHN7rI772aZ9+EJ784775TvzHd+ZeadMTscDpO6FAIKgaBBwBI0JVEFUQgoBDQEFCdVP1AIBBcCipPB1R6qNAoBxUnVBxQCwYWA4mRwtYcqjUJAcVL1AYVAcCFg86E4dXV1zKCISRSL8zKbzfwU4dyLQB9SVq8oBBQC... | null | null | null | As <image_1>shown in the figure, there is a circular uniform magnetic field area with a center of O and a radius of d in space. The magnetic induction intensity is\(B_0 = \frac{v_0}{dk}\). There is a parallel plate capacitor with a plate spacing of 2d directly below the magnetic field. The y-axis is the central axis of... | null | 5 | 电磁学_电磁感应 | phy |
51534462-1_3-1 | iVBORw0KGgoAAAANSUhEUgAAAUoAAADwCAIAAADpbbr1AAAgAElEQVR4Ae1dBVhUSxSW7u4GgxAQkLAFu8Xurmd3d6JiPbvF7u4WFQuRFFBCGgTphiXej9d3XXeXZRcBF5x9fL650/Pfe2bOnDlzjlBpaWk98iMIEATqIgLCdXFQZEwEAYJAGQKEvMl3QBCoswgQ8q6zr5YMjCBAyJt8AwSBOosAIe86+2rJwAgChLzJN0AQqLMIiNbZkZGB/QUIvPLwePrkSUlJSd0bq4qKSv+BA7W0tH5naIS8fwc9UvYPI7Bty9bHDx6IiIj84X5U... | iVBORw0KGgoAAAANSUhEUgAAAQcAAACvCAIAAAB/8YzHAAAgAElEQVR4Ae1dB3xNSRfPS33pvfeISBBEoqQKUVbf1VcXnVW+ZYlOiLJqiLpr1SB6F70TQZogCJEgIUKKVFK+f7zkuu4rXl7eS/Ji3i8/5s6cKed/59yZOXPmDKukpESG/AgCBAEaArK0MAkSBAgCpQgQqSD9gCDARIBIBRMR8kwQIFJB+gBBgIkAkQomIuSZIECkgvQBggATASIVTETIM0GASAXpAwQBJgKSlYqCgoL8/HxmneSZIFCzEZCsVNy6devwoUPFxcViBwFb... | null | null | null | In modern scientific experiments and technical equipment, electric fields are often used to change or control the movement of charged particles. The <image_1>device shown in Figure A consists of three parts: an acceleration region, an electrostatic analyzer and a deflection electric field. Positive ions with unknown sp... | null | \(\frac{27}{25}d\) | 电磁学_静电场 | phy |
51534461-1_2-4 | iVBORw0KGgoAAAANSUhEUgAAAEcAAAC4CAIAAAA+FmaEAAAN/UlEQVR4Ae2da1BWVRfHX0RBBQRMAUFQXxUvA3nF1Mwpc0aZKafJ/GCTCpZaqWWTVhOVaZNhjVpao85ot2n8ooWXSZmGvGUvmikpIKngBS8goKAJIjffH+139hzOOQ898e5N1uzzgdlnPXuvvf7rv9faex8+LJ87d+786x/3tPnHIWoEZFD9fWht2zJTicaGhoaampq2vz8+Pj5OPfSpq6urra319/dv06aNax/nKCWSFq5ALK6urk5KSkpNTfWUb4BdXFw8adKkXbt2... | iVBORw0KGgoAAAANSUhEUgAAATIAAAD3CAIAAAAR9k8hAAAgAElEQVR4Ae3dB5xdRfUH8G3ZJLubCtKRhBBKQkIRA4h/UEBFRClSlKZIr4IUUToC0kQFwQYIAioINqwgIlV6CR1CQg81fZNs/3/vm83dx9vdt+3t5r19937CMm/uzNyZM/Obc+acMzOlLS0tJcmTUCChQD5RoCyfKpPUJaFAQoGIAgksk3GQUCDvKDCgsEwE5rzr/6RCeUmBAYIlQDY0NNTV1SXIzMthkFQqvygwQLBsamp68cUXb7755sbGxlwRIEF4riiZlJNvFKgY... | null | null | null | A classmate used the <image_1>device shown in Figure A to study the potential energy\(E\)(the sum of gravitational potential energy and potential energy) of a charged ball in the gravitational field and the electric field. Two small balls 1 and 2 with the same charge are placed in a vertically placed insulating cylinde... | [
"The velocity increases first and then decreases during ascent.",
"The kinetic energy keeps increasing as it rises",
"The mass is\\(0.2 \\text{kg}\\)",
"Moving from\\(x = 6.0 \\text{cm}\\) to\\(x = 20.0 \\text{cm}\\) can reduce the potential\\(0.3 \\text{J}\\)"
] | AD | 电磁学_静电场 | phy |
52018840-1_5 | iVBORw0KGgoAAAANSUhEUgAAAO4AAADVCAIAAADfMVsbAAAgAElEQVR4Ae1dBWBTVxeupN6mrqkLdTdaKkhxt+EwZGPOxhiw7d/Gv3+ujAkbug0Z7q6lLVKBulN36m5p838vYWkaI22TNCl5P3/3ct9999177vfOO/ecc8+Rp9FocrJDRgHpp4CC9A9BNgIZBQgKyKAsw8EIoYAMyiNkImXDkEFZhoERQgEZlEfIRMqGQZKRQEYBMVMASrPmrp52aq+eKomkII+ny8sTf4d4yKA8RALKbh8MBSAMHM2s7qD2hlpoexlrqJEUB9NK/3vk... | null | null | null | null | As <image_1>shown in the figure, there is a smooth circular glass pipe in the vertical plane. The center of the pipe is\(O\) and the radius is\(1.5\,\text{m}\). The radius of the pipe is much larger than the inner diameter of the glass pipe. There is a uniform electric field horizontally to the right in space, and the ... | [
"The minimum speed of small ball movement is\\(5\\,\\text{m/s}\\)",
"The ball has a minimum potential energy of\\(0.6\\,\\text{J}\\)",
"The minimum mechanical energy of the ball is\\(0.15\\,\\text{J}\\)",
"The minimum pressure of the small ball on the orbit is\\(0\\)"
] | CD | 电磁学_静电场 | phy |
52018840-1_3-9 | iVBORw0KGgoAAAANSUhEUgAAAR0AAAD+CAIAAACIr0a0AAAgAElEQVR4Ae3dB5glRbUH8ImbI0vOiyJBRbIiSlD0gYg+A4iYURFEUcwKTwRBhCfgAxVJJkyIiIoREMlJRZJEWSRndmHTzE56v6H4mqbvnTvdt3uGWabut99s37pVp06dOufUqeru/2kdGBhoiZ8ogSiBSiXQVim1SCxKIEpgUALRrqIeRAlUL4FoV9XLNFKMEoh2FXUgSqB6CUS7ql6mkWKUQLSrqANRAtVLINpV9TIdIYoLFy588MEHe3p6+vv7Fy1atGDBgniPZIRE... | null | null | null | null | As shown in the figure, there is a uniform strong magnetic field in the negative direction of the $y $axis in the circular area of the planar rectangular coordinate system $xOy $. The center of the boundary circle is at the position of $(0, R)$(not marked in the figure). The boundary circle is tangent to the $x $axis, ... | null | \frac{233\sqrt{2}\pi R}{180\v_{0}} | 电磁学_静电场 | phy |
51469939-1_24 | iVBORw0KGgoAAAANSUhEUgAAATIAAAEqCAIAAAAZIUtkAAAgAElEQVR4Ae3dB7glRZUH8JkBhiRREVcJuoCiKKAC6opLEESSKwjqKoqKooIYVyQIIqACkkQFTAQlLYKsEhxBcRiCZGRAMgx5yDAzMHne29+bkqLte2+/G9/re2/d75s33dWV+nT965w6deqcsYODg2PSL1EgUaBMFBhXps6kviQKJAoMUSDBMo2DRIHSUSDBsnSfJHUoUSDBskRj4Mknn7TUT6v9En2SUepKguUoEb6i2QULFnzjG9+47LLLKp6khL6jQILlSHzymTNn... | null | null | null | null | Electron pair annihilation refers to the phenomenon in which electrons and electrons collide head-on at the same size and opposite directions and then annihilate, producing gamma rays. Electron pair annihilation is the physical basis of computed tomography (PET). As <image_1>shown in the figure, the rectangular coordin... | null | $\frac{\pi R}{18v_0} + \frac{2\sqrt{3}R}{3v_0}$ | 电磁学_电磁感应 | phy |
51562816-1_3 | iVBORw0KGgoAAAANSUhEUgAAAUgAAADZCAIAAADNOz42AAAgAElEQVR4Ae3dB3ilRdU4cFZpUmyURTpIRyk2QKTqBwoIf+m9F+nwgYAUASkiqEvvi4D0KkV670gHURBZQGl+FKVIFfn/soc9DjebbLK5SW6SeZ993n0z98yZM2dOmz7sww8/nKA+lQOVA4OLA58YXNWptakcqBxo40BV7CoHlQODkANVsQdho9YqVQ5Uxa4yUDkwCDlQFXsQNmqtUuXAhGNjQTlOPqw9QAykDxv2sZ/aJ3aUAmGZtytgAdPFjCVyWTrC3+9gHRHWxWo2... | null | null | null | null | As shown in the figure<image_1>, tilt angle\(\theta=37^{\circ}\), a small object B is placed on the fixed slope, and the small object B is connected to the object A through a light rope across the fixed pulley. The height of A from the ground\(h=2\,\text{m}\), the dynamic friction coefficient between B and the bevel is... | null | \frac{4}{135}\,\text{m} | 力学_动量及其守恒定律 | phy |
51486275-1_01 | iVBORw0KGgoAAAANSUhEUgAAAXUAAABzCAIAAADosQU2AAAgAElEQVR4Ae1dB2BUxRbNlvTee6+EJBBCVzrSmwgCoqBiwUKzoVJFQL76/1f0I0UFUQHpIEiXHloCJCQEQgikt03vZXf/mfdCDJvdZJN9mzzXeWrcfTtv5t4zc8+70+4I5HK5Hr0oAhQBioAWEBBqIU+aJUWAIkARIAhQfqHtgCJAEdAWApRftIUszZciQBGg/ELbAEWAIqAtBCi/aAtZmi9FgCJA+YW2AYoARUBbCFB+0RayNF+KAEWA8gttAxQBioC2EKD8oi1kab4U... | null | null | null | null | As <image_1>shown in the figure, a sufficiently long horizontal conveyor belt moves at a constant rate. When different small objects are lightly placed on the left end of the conveyor belt, the objects will undergo two stages of movement. Use\(v\) to denote the speed of the conveyor belt, and use\(\mu\) to denote the d... | [
"In the early stage, the object may move in the opposite direction to the transport direction",
"In the later stage, the direction in which the object is subjected to friction is the same as the conveying direction",
"\\(v\\) When the same is the same,\\(\\mu\\) Different objects with equal mass generate the sa... | D | 力学_机械能及其守恒定律 | phy |
51562821-1_3 | iVBORw0KGgoAAAANSUhEUgAAAacAAABpCAIAAAARGHu/AAAgAElEQVR4Ae2dB3hUVRbHM2mkhxJ6b0LovYoKioBSliKy0qS40kVlVZrLqqgLoqArVWy4ujQF1FX4AOnSexekl4QaICSkzOwvPBmHybw7mSEk82bO4/vCm/fuu/ec/z33f8/tJovF4ieXICAICAI+g4C/z2gqigoCgoAgkIGAsJ7YgSAgCPgWAsJ6vpXfoq0gIAgI64kNCAKCgG8hIKznW/kt2goCgoD7rLd+/frvvvsuISFBQBQEBAFBwEAIuM9633///ZgxY86cOWMg... | iVBORw0KGgoAAAANSUhEUgAAATIAAAEyCAIAAAD2pMuSAAAgAElEQVR4Ae2dB2AcxfX/b6/rVE5dsizJknvF3dgGYxtMsyH0YgiQBoQUIIVUkpBfOiEh+QcSQq+JCS2E3mxccMHGuHdbtlWt3qXTtf9nb6X16U469dNpNYs5zU6fN/Od9+bN2xnJ6/XqxCMoICgQSRTQR1JlRF0EBQQFZAoIWIpxICgQcRQQsIy4LhEVEhQQsBRjQFAg4iggYBlxXSIqJCggYCnGgKBAxFFAwDLiukRUSFBAwFKMAUGBiKOAgGXEdYmokKDA0IZlhyZK... | null | null | null | As shown in Figure A<image_1>, a mass A that can be regarded as a particle is located at the leftmost end of a wooden board B with a smooth bottom. A and B move left on the horizontal ground at the same speed\(v_0=7\,\text{m/s}\).\ At the moment (t=0\), B elastically collides with the static long wooden board C, and th... | null | 1.056J | 力学_机械能及其守恒定律 | phy |
51562821-1_4 | iVBORw0KGgoAAAANSUhEUgAAAi8AAACbCAIAAAAlcuxZAAAgAElEQVR4Ae2dB2BUxdbHs5vNJiG00EI1gKI06UWaIEVBQEGxK2JHnxXLU9Rnw96xixXFgorvqdg+6YoColJUQKogEEIv6bv5fptJxmF2U4Rks+Xc5wt378ycmfnPmfM/M3fujCM/Pz9GLkFAEBAEBAFBoFIRcFZq7pK5ICAICAKCgCDgQ0DYSPRAEBAEBAFBoPIREDaq/DaQEggCgoAgIAhUGhtlZmbOmTMnLy9PXlyJFgoCgoAgIAhUGhvNnj37+uuvT09PlzYQBAQB... | null | null | null | null | As <image_1>shown in the figure, radius\(R=1.8\,\text{m}\) is vertically fixed with a smooth quarter-arc track, mass\(M=2\,\text{kg}\), length\The wooden board of (L_1=2.9\,\text{m}\) is stationary on the rough horizontal ground. A small slider B with a mass of\(m_1=2\,\text{kg}\) is placed on the left end of the woode... | null | 0.6s | 力学_机械能及其守恒定律 | phy |
51562821-1_6 | iVBORw0KGgoAAAANSUhEUgAAAfYAAAEgCAIAAADJ7sbZAAAgAElEQVR4AeydBWAUxxfG4+4JSSC4BIK7u9MiLe7WUkqxlpZSSts/dapYgeLuUqC4u7sGtwQJIcSTu9xd/r/ZTUKKxi4kYbb0sre3Ozv7ze43b795855pfHy8iVwkAhIBiYBEICciYJYTL0pek0RAIiARkAgIBCTFy/tAIiARkAjkWAQkxefYppUXJhGQCEgEJMXLe0AiIBGQCORYBCTF59imlRcmEZAISAQkxct7QCIgEZAI5FgEJMXn2KaVFyYRkAhIBCTFy3tAIiAR... | null | null | null | null | As <image_1>shown in the figure, a conveyor belt with an inclination angle of (theta=30^{circ}) and a sufficiently long belt always runs at a constant counterclockwise speed at the speed of (v=6,text{m/s}), and a block A that can be regarded as a particle is placed on board B of unknown length (A starts at 1 from the r... | null | 4.8m | 力学_机械能及其守恒定律 | phy |
51562821-1_7 | iVBORw0KGgoAAAANSUhEUgAAARwAAACgCAIAAABR6UQNAAAgAElEQVR4Ae1dBVhVSRumu0u6MRGlBAQEQTFAwQ5AQV17185V1/h3WbsDCwNFQUCQTqUUi06TMFC6U/4X78qyiJdLg8x9fPTEnJk575nXb+abL+jr6+vpyI8gQBDoPAQYOq8qUhNBgCDQgAAhFRkHBIFORoCQqpMBJdURBJh+DAHWWvTf7lKOm62+Gu9+K0X+JQgQBEAboqggw4Ag0LkIkOlf5+JJaiMIEEUFGQMEgc5GgEiqzkaU1NfvESCk6vdDgADQ2QhQ0f51dlOk... | null | null | null | null | As <image_1>shown in the figure, the inclined plane with an inclination angle of (theta=30^{circ}) is fixed on the horizontal ground, and the block A with mass (m_1=1,text{kg}) is located at the bottom of the inclined plane, and is connected to the block B with a mass of (m_2=2,text{kg}) by a light spring with a stiffn... | null | 1.6m | 力学_机械能及其守恒定律 | phy |
51562821-1_10 | iVBORw0KGgoAAAANSUhEUgAAAioAAADOCAIAAACfGL5ZAAAgAElEQVR4Ae2dB0BUx9bH6b33Kr33IqCIIvbeW4zGGBNjYnp5aV+e6fElamKamkRNbFFj7yIgvSMdpYsoXYp0UL7/cpN1gaUIu7rl7PORu/fOnTvzm7v3f8/MmTOSXV1dEvQhAkSACBABIvB4CUg93svR1YgAESACRIAIsAiQ/NB9QASIABEgAk+AAMnPE4BOlyQCRIAIEAGSH7oHiAARIAJE4AkQIPl5AtDpkkSACBABIkDyw7oH4P7X3t6ee+MG+QHST4IIEAEi8HgI... | null | null | null | null | As shown in <image_1>, a freely movable smooth circular-arc track }M\text{ rests on a smooth horizontal ground; the bottom of the arc is horizontal. A short distance to its right lies a clockwise-rotating horizontal conveyor belt whose length is }L_{BC}=\frac{5}{8}\,\text{m}.\text{ To the right of the conveyor belt is ... | null | $\frac{\sqrt{10}}{20} (\pi - \arcsin \frac{1}{6} + \arcsin \frac{1}{4}) s$ | 力学_机械能及其守恒定律 | phy |
52625795-1_4 | iVBORw0KGgoAAAANSUhEUgAAARkAAACPCAIAAABBOjiqAAAcB0lEQVR4Ae3dC7RVRf0H8L9ZYlkqaaJWiKVFZGU+Mt89xCDDJUgKoqWk0tPMktKMfEYP81FLy0w0zVJTiwIFLTU1sVLUhEyxzELEktS0l6j9PzarvXbnnHvuueecezlzz+8uFmuf2bNn//Zv5ju/x/zmN6v9+9///r/4Cw4EB1rmwHNabiEaCA4EB57lQGApxkFwoD0cCCy1h4/RSnCgW7DELFy8ePHxxx8fXR4c6CcOdAuWnn766SuuuGLDDTfsJz5Gs8GBbsHS3/72... | iVBORw0KGgoAAAANSUhEUgAAANIAAAC0CAIAAABuVuVSAAAgAElEQVR4Ae2dB3Rb1f3HLVnyHvIesRM7tuMM4+wdssggCSWQ0DQ0aYFuSgv/lE0HtD2dFErLCPS0pYEyW1pICIEkZO84eznDjp048d7bsqX/R37mVTzZsmRN46uTk/PG79173+99/bv3N6/KaDT6iJ/ggHs5oHZvd6I3wQETBwTsBA48wAEBOw8wXXQpYCcw4AEOCNh5gOmiSwE7gQEPcEDAzgNMF10K2AkMeIAD/Q92O3fufOKJJ4SV2wNgcV6X/Qx2oO3999+fOHGi... | iVBORw0KGgoAAAANSUhEUgAAANoAAACwCAIAAADmEOewAAAgAElEQVR4Ae2dd3xUVdrHZ9ImvfeEBBJqECF0AQGlKBaKimD7rK/L2mXd4lp23bWubXXt3VVRWRVlLRRFiqD03kuAQCrpPZm0mfc73HAZZpJhMnOnJef+kdw599xznvOc333OeZ7znOeo9Xq9SlyCA+7BAS/3IENQIThg4ICAo8CBG3FAwNGNOkOQIuAoMOBGHPB4OP7jH/9YtWpVc3OzGzFVkGIrBzwbjnV1dTk5OQEBAT4+PrZyQLznRhzwbDhu2LChX79+ycnJarXa... | null | null | As shown in Figure A<image_1>, in the\(xOy\) plane of the three-dimensional rectangular coordinate system\(O-xyz\), the two wave sources\(S_1\) and\(S_2\) are located at\(x_1=-0.2\,\text{m}\) and\(x_2=1.2\,\text {m}\) respectively. The two wave sources vibrate perpendicular to the\(xOy\) plane, and the vibration images... | [
"The equilibrium position is on the\\(x\\) axis and the direction of particle vibration at\\(x=0.2\\,\\text{m}\\) is along the negative direction of the\\(z\\) axis",
"In the superposition area of two waves, the equilibrium position is on the\\(x\\) axis and the particle vibration is weakened at\\(x=0.6\\,\\text{... | D | 力学_机械振动与机械波 | phy |
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