Question stringlengths 2 3k | label int64 0 1 |
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Can I make over 80,000 a month reselling products on eBay or Amazon? | 0 |
4. In the circuit shown in figure, circuit is closed at time $t=0$. At time $t=\ln (2)$ second
(a) rate of energy supplied by the battery is $16 \mathrm{~J} / \mathrm{s}$
(b) rate of heat dissipated across resistance is $8 \mathrm{~J} / \mathrm{s}$
(c) rate of heat dissipated across resistance is $16 \mathrm{~J} / \... | 1 |
21.
| Column-I | Column-II | |
| :--- | :--- | :--- |
| A. $\quad v_{a v}$ | (p) | $\sqrt{\frac{3 R T}{M}}$ |
| B. $\quad v_{\text {rms }}$ | (q) $\sqrt{\frac{8 R T}{\pi M}}$ | |
| C. $\quad v_{m p}$ | (r) | $\frac{\sqrt{\gamma R t}}{M}$ |
| D. $\quad v_{\text {sound }}$ | (s) $\sqrt{\frac{2 R T}{M}}$ | | | 1 |
9. For the given situation shown in figure, choose the correct options $\left(g=10 \mathrm{~ms}^{-2}\right.$ )
(a) At $t=1 \mathrm{~s}$, force of friction between $2 \mathrm{~kg}$ and $4 \mathrm{~kg}$ is $2 \mathrm{~N}$
(b) At $t=1 \mathrm{~s}$, force of friction between $2 \mathrm{~kg}$ and $4 \mathrm{~kg}$ is zero
... | 1 |
Example 8.45. A periodic function with period 1 is integrable over any finite interval. Also for two real numbers $a, b$ and for two unequal non-zero positive integers $m$ and $n, \int_a^{a+n} f(x) d x=\int_b^{b+m} f(x) d x$. Calculate the value of $\int_m^n f(x) d x$. | 1 |
How do i fix a broken sleep schedule? | 0 |
11. A vessel containing water is given a constant acceleration $a$ towards the right along a straight horizontal path. Which of the following diagrams represents the surface of the liquid?
(a)
 It has two functional groups namely amide group and carboxyl group.
, y=a(1-\cos t)$ and the $x$-axis is
a. $6 \pi a^{2}$ sq. units
b. $3 \pi a^{2}$ sq. units
c. $4 \pi a^{2}$ sq. units
d. None of these | 1 |
12. A transverse wave described by an equation $y=0.02 \sin (x+30 t)$, where $x$ and $t$ are in metre and second, is travelling along a wire of area of cross-section $1 \mathrm{~mm}^{2}$ and density $8000 \mathrm{kgm}^{-3}$. What is the tension in the string?
(a) $20 \mathrm{~N}$
(b) $7.2 \mathrm{~N}$
(c) $30 \mathrm{~... | 1 |
Closer examination of what information allowed for further progress in scientific knowledge? | 0 |
(a) the work done by the gas in the left part during the process, | 1 |
Which University offers conventional degrees? | 0 |
3. The correct sketch is
(a)
(b)
^{2}+$ $(3 y+15)^{2}=\frac{(3 x-4 y+5)^{2}}{25}$. | 1 |
7. A travelling wave in a stretched string is described by the equation ; $\quad y=A \sin (k x-\omega t)$
The maximum particle velocity is
(a) $A \omega$
(b) $\omega / k$
(c) $d \omega / d k$
(d) $x / \omega$ | 1 |
1. An inductor, a resistor and a capacitor are joined in
series with an AC source. As the frequency of the source
is slightly increased from a very low value, the reactance
(a) of the inductor increases
(b) of the resistor increases (c) of the capacitor increases
(d) of the circuit increases. | 1 |
Which country acquired New France from France? | 0 |
30. Suppose $f(x)=e^{a x}+e^{b x}$, where $a \neq b$, and that $f^{\prime \prime}(x)$ $L_{1}-2 f^{\prime}(x)-15 f(x)=0$ for all $x$. Then the product $a b$ is
a. 25
b. 9
c. -15
d. -9 | 1 |
According to the Action Tendency Model, the opposite of approach is described as unmoving with what? | 0 |
30. Calculate the root mean square velocity of ozone kept in a closed vessel at $20^{\circ} \mathrm{C}$ and $82 \mathrm{~cm}$ mercury pressure. | 1 |
3. If $A$ and $B$ are two events such that $P(A)=3 / 4$ and $P(B)=5 / 8$, then
a. $P(A \cup B) \geq 3 / 4$
b. $P\left(A^{\prime} \cap B\right) \leq 1 / 4$
c. $3 / 8 \leq P(A \cap B) \leq 5 / 8$
d. $3 / 8 \leq P(A \cap B) \leq 5 / 8$ | 1 |
Bribes can be direct or what? | 0 |
What is the best martial art for self defence? | 0 |
12. Find the range of values of $t$ for which $2 \sin t=\frac{1-2 x+5 x^{2}}{3 x^{2}-2 x-1}, t \in\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$.
(IIT-JEE, 2005) | 1 |
17. Helium atom is two times heavier than a hydrogen molecule. At 298 $\mathrm{K}$, the average kinetic energy of a helium atom is
(a) two times that of a hydrogen molecule
(b) same as that of a hydrogen molecule.
(c) four times that of a hydrogen molecule.
(d) half that of a hydrogen molecule. | 1 |
5. If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that
(a) linear momentum of the system does not change in time
(b) kinetic energy of the system does not change in time
(c) angular momentum of the system does not change in time
... | 1 |
How do I know which doctor I want to be? | 0 |
23. Three uncharged capacitors of capacitance $C_{1}, C_{2}$ and $C_{3}$ are connected to one another as shown in figure. The potential at $O$ will be
(a) $3 \mathrm{~V}$
(b) $\frac{49}{11}... | 1 |
4.18 Explain with the help of suitable example polar covalent bond. | 1 |
What system in the body controls salivation? | 0 |
Along with being carved, how were altarpieces often decorated in this period? | 0 |
52. The sum of the number of neutrons and proton in the isotope of hydrogen is :
(a) 6
(b) 2
(c) 4
(d) 3 | 1 |
43. Using VSEPR theory, draw the shape of $\mathrm{PCl}_{5}$ and $\mathrm{BrF}_{5}$. | 1 |
How can it be determined how safe for your health canned salmon is? | 0 |
12. Discuss the continuity of $f(x)=(\log |x|) \operatorname{sgn}\left(x^{2}-1\right), x \neq 0$. | 1 |
Where can I get affordable shopping experience for floor tiles? | 0 |
Which app is the best Android app on the Google Play store? | 0 |
3. There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $d_{1}$ and $d_{2}$ are filled in the tube. Each liquid subtends $90^{\circ}$ angle at centre. Radius joining their interface makes an angle $\alpha$ with vertical. Ratio $d_{1} / d_{2}$ is
(2014 Main)
(a) $\frac{m v_{0}}{L... | 1 |
Do Mermaids really exist? Has anybody seen them? | 0 |
How do I start preparation for IAS exam? | 0 |
What is the best way to learn Java programming? | 0 |
21. A particle is moving on a circle of radius $R$ such that at every instant the tangential and radial accelerations are equal in magnitude. If the velocity of the particle be $v_{0}$ at $t=0$, the time for the completion of the half of the first revolution will be
(a) $\frac{R}{v_{0}}$
(b) $\frac{R}{v_{0}}\left(1-\ma... | 1 |
4. Least count of screw gauge is defined as
(a) $\frac{\text { distance moved by thimble on main scale }}{\text { number of rotation of thimble }}$
(b)
pitch of the screw
number of divisions on circular scale
(c) $\frac{\text { number of rotation of thimble }}{\text { number of circular scale divisions }}$
(d) No... | 1 |
How many ATP is produced during aerobic respiration? | 0 |
From what class were many parish priests? | 0 |
Example 20 Find $\int \frac{x \sin ^{-1} x}{\sqrt{1-x^{2}}} d x$ | 1 |
Which are the best Hollywood comedy movies? | 0 |
4. $\int \frac{\cos x-\sin x}{\cos x+\sin x}(2+2 \sin 2 x) d x$ | 1 |
How should one prepare for interviews? | 0 |
Tranquilizers affect which of the two common neurotransmitters? | 0 |
(v) $\quad\{x: x \in \mathrm{N}$ and $x$ is odd $\}$ | 1 |
57. Orthogonal trajectories of family of the curve $x^{2 / 3}+y^{2 / 3}$ $=a^{2 / 3}$, where $a$ is any arbitrary constant, is
a. $x^{2 / 3}-y^{2 / 3}=c$
b. $x^{4 / 3}-y^{4 / 3}=c$
c. $x^{4 / 3}+y^{4 / 3}=c$
d. $x^{1 / 3}-y^{1 / 3}=c$ | 1 |
4. Figure (5-Q3) shows the displacement of a particle going along the X-axis as a function of time. The force acting on the particle is zero in the region
(a)AB (b)BC (c)CD (d)DE. ... | 1 |
8. A U-tube of uniform cross-section is partially filled with a liquid I. Another liquid II which does not mix with liquid I is poured into one side. It is found that the liquid levels of the two sides of the tube are the same, while the level of liquid I has risen by $2 \mathrm{~cm}$. If the specific gravity of liquid... | 1 |
Do the Arab societies believe the 1919-1929 borders of the Arab states are illegitimate ? | 0 |
18. The spring as shown in figure is kept in a stretched position with extension $x$ when the system is released. Assuming the horizontal surface to be frictionless, the frequency of oscillation is
 $\mathrm{CF}_{2} \mathrm{Cl}_{2}(\mathrm{~g}) \xrightarrow{\text { uv }} \dot{\mathrm{C}}(\mathrm{g})+\dot{\mathrm{C}} \mathrm{F}_{2} \mathrm{Cl}(\mathrm{g})$
(b) $\mathrm{Cl} \dot{\mathrm{O}}(\mathrm{g})+\mathr... | 1 |
How can you clean a semi automatic rifle? | 0 |
43. Amongst the following, the total number of compounds soluble in aqueous $\mathrm{NaOH}$ is
 | 1 |
What aspect of modern academic philosophy is less literary than technical in nature? | 0 |
75. Match the statements/expressions given in Column I with the values given in Column II.
| | Column I | Column II |
| :---: | :---: | :---: |
| A. | Root(s) of the equation $2 \sin ^{2} \theta+\sin ^{2} 2 \theta=2$ | p. $\pi / 6$ |
| B. | Points of discontinuity of the function $[f(x)=\frac{6 x}{\pi}] \cos [\frac{3... | 1 |
10. A thin uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. Its mass is $0.16 \mathrm{~kg}$ and length is $\sqrt{3} \mathrm{~m}$. Two particles, each of mass 0.08 $\mathrm{kg}$ are moving on the same surface and towards the bar in a direction perpendicular to the bar ... | 1 |
(i)
 | 1 |
11. The equation of the plane containing line $L$ and point $A$ has the equation
a. $x-3 y+5=0$
b. $x+3 y-7=0$
c. $3 x-y-1=0$
d. $3 x+y-5=0$ | 1 |
14. Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals
a. $1 / 2$
b. $7 / 15$
c. $2 / 15$
d. $1 / 3$ | 1 |
8. If range of the function $f(x)=\sin ^{-1} x+2 \tan ^{-1} x+x^{2}+4 x+1$ is $[p, q]$, then the value of $(p+q)$ is . $\qquad$ | 1 |
29. Two identical charged spheres are suspended by strings of equal length. The strings make an angle of $30^{\circ}$ with each other. When suspended in a liquid of density $0.8 \mathrm{~g} / \mathrm{cc}$, the angle remains the same. The dielectric constant of the liquid is [density of the material of sphere is $1.6 \m... | 1 |
(iii)
 | 1 |
7. The geometry of $\mathrm{XeOF}_{4}$ by VSEPR theory is :
(a) pentagonal planar
(b) octahedral
(c) square pyramidal
(d) trigonal bipyramidal | 1 |
In mammals, brain volume and body mass follows a power law with an exponent of what? | 0 |
$\because 042$ A flotation device is in the shape of a right cylinder, with a height of 0.500 m and a face area of $4.00 \mathrm{~m}^{2}$ on top and bottom, and its density is 0.400 times that of fresh water. It is initially held fully submerged in fresh water, with its top face at the water surface. Then it is allowed... | 1 |
5. A uniform solid cylinder of mass $m$ and radius $R$ is placed on a rough horizontal surface. A horizontal constant force $F$ is applied at the top point $P$ of the cylinder so that it starts pure rolling. The acceleration of the cylinder is
(a) $F / 3 m$
(b) $2 F / 3 m$
(c) $4 F / 3 m$
(d) $5 F / 3 m$
+\mathrm{e}=\mathrm{Ag}(\mathrm{~s}) ; & E_{1}^{0}=0 \cdot 80 \mathrm{~V} \\
\mathrm{AgBr}(\mathrm{~s})+\mathrm{e}=\mathrm{Ag}(\mathrm{... | 1 |
What does architectural monumentality often represent? | 0 |
7. The equation $(\cos p-1) x^{2}+(\cos p) x+\sin p=0$ in the variable $x$, has real roots. Then, $p$ can take any value in the interval
(1990, 2M)
(a) $(0,2 \pi)$
(b) $(-\pi, 0)$
(c) $-\frac{\pi}{2}, \frac{\pi}{2}$
(d) $(0, \pi)$ | 1 |
17. The equation $\sqrt{x+1}-\sqrt{x-1}=\sqrt{4 x-1}$ has
a. no solution
b. one solution
c. two solutions
d. more than two solutions
(IIT-JEE, 1997) | 1 |
5. All surfaces shown in figure are smooth. System is released from rest. $x$ and $y$ components of acceleration of COM are
(a) $\left(a_{\mathrm{cm}}\right)_{x}=\frac{m_{1} m_{2} g}{m_{1}+m... | 1 |
- Explain why the given compound undergoes dimerization at room temperature and readily reacts with active metals
 | 1 |
Who laid the foundation stone of New Delhi? | 0 |
Why would humans have begun to create gods? | 0 |
Illustration 2.70 If [ $\overline{\bar{a}} \vec{b} \vec{c}]=2$, then find the value of $[(\bar{a}+2 \vec{b}-\bar{c})(\vec{a}-\bar{b})(\vec{a}-\vec{b}-\bar{c})]$. | 1 |
25. The reaction $\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}+\mathrm{D} ; \Delta H=25 \mathrm{~kJ} /$ mole should have an activation energy
(a) $-25 \mathrm{~kJ} / \mathrm{mole}$
(b) < +25 kJ/mole
(c) $>+25 \mathrm{~kJ} /$ mole
(d) either answer (b) or (c) depending upon experiment
[Hint: See Example 37] | 1 |
19. A gas described by van der Waals equation -
[2008- 1 Mark
(a) behave similar to an ideal gas in the limit of large molar volumes
(b) behaves similar to an ideal gas is in limit of large pressures
(c) is characterised by van der Waals coefficients that are dependent on the identity of the gas but are independent... | 1 |
Who will be the MVP of 2016 NBA Playoffs? | 0 |
5. Dipole moment of cis-1, 2-dichloro ethene is :
(A) $3 \mu$
(B) $\sqrt{\mu}$
(C) $\mu \sqrt{3}$
(D) $\mu^{2}$ | 1 |
No matter which religion, what is usually used as the name for the Supreme Being? | 0 |
Will zika virus effect Rio olympics? | 0 |
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