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14. In a Young's double slit experiment, slits are separated by 0.5 $\mathrm{mm}$ and the screen is placed $150 \mathrm{~cm}$ away. A beam of light consisting of two wavelengths, $650 \mathrm{~nm}$ and $520 \mathrm{~nm}$, is used to obtain interference fringes on the screen. The least distance from the common central m... | 1 |
7. $a_{1}, a_{2}, a_{3} \in R-\{0\}$ and $a_{1}+a_{2} \cos 2 x+a_{3} \sin ^{2} x=0$ for all $x \in R$, then
a. vectors $\vec{a}=a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k}$ and $\vec{b}=4 \hat{i}+2 \hat{j}+\hat{k}$ are perpendicular to each other
b. vectors $\vec{a}=a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k}$ and $\vec{... | 1 |
9. The energy of the second Bohr orbit in the hydrogen atom is -3.41 eV . The energy of the second Bohr orbit of $\mathrm{He}^{+}$ion would be
(a) -0.85 eV
(b) -13.64 eV
(c) -1.70 eV
(d) $-6 \cdot 82$ | 1 |
What options are best when buying a bike of 1 lakh when I have down payment of only 35k? | 0 |
What is an expert? | 0 |
1. The correct statement with respect to dinitrogen is:
(a) $\mathrm{N}_{2}$ is paramagnetic in nature.
(b) it can combine with dioxygen at $25^{\circ} \mathrm{C}$.
(c) liquid dinitrogen is not used in cryosurgery.
(d) it can be used as an inert diluent for reactive chemicals. | 1 |
Is AMD FX-8300 a good upgrade for a FX-4300? | 0 |
What are the best new business idea in india with less investment? | 0 |
Which brand should I go for when buying men’s boxer shorts? | 0 |
25. Four successive members of the first row transition elements are listed below with atomic numbers. Which one of them is expected to have the highest $\mathrm{E}_{\mathrm{M}^{3+} / \mathrm{M}^{2+}}^{\circ}$ value?
(a) $\operatorname{Cr}(Z=24)$
(b) $\mathrm{Mn}(\mathrm{Z}=25)$
(c) $\mathrm{Fe}(\mathrm{Z}=26)$
(... | 1 |
3. The difference in Double Bond Equivalent (DBE) value between | 1 |
Should Pakistan attack India in response to the Quetta terrorist attack? | 0 |
4. Consider the processes $A$ and $B$ shown in figure (27-Q3). It is possible that
Figure 27-Q3
(a) both the processes are isothermal
(b) both the processes are adiabatic
(c) $A$ is is... | 1 |
What is the temperament of a Lab/Pitbull mix? | 0 |
25. Let $\mathrm{a}, \mathrm{b}, \mathrm{c}$ be positive integers such that $\mathrm{a}+\mathrm{b}+\mathrm{c}=n$ then which all statements are correct [Multiple correct]
(a) $\left(a^{c} b^{a} c^{b}\right)^{1 / n} \leq a b c$
(b) $\left(a^{c} b^{a} c^{b}\right)^{1 / n} \leq a+b+c$
(c) $\left(a^{a} b^{b} c^{c}\right)... | 1 |
14. The molecular formula of a commercial resin used for exchanging ions in water softening is $\mathrm{C}_{8} \mathrm{H}_{7} \mathrm{SO}_{3} \mathrm{Na}$ (mol. wt. = 206). What would be the maximum uptake of $\mathrm{Ca}^{2+}$ ions by the resin when expressed in mole per gram resin?
(a) $\frac{1}{103}$
(b) $\frac{1}{2... | 1 |
What will be the name of Southern Sudan when they will be independent? | 0 |
How does sex feel for a man? | 0 |
What is the most important thing to look for in a commercial real estate CRM? | 0 |
What country produced the Kao Gong Ji? | 0 |
Along with art, how was religious instruction commonly received in the late 6th century? | 0 |
Why is a comma put there? | 0 |
Example 16 Find the equation of the hyperbola where foci are $(0, \pm 12)$ and the length of the latus rectum is 36 . | 1 |
8. For the reaction,
$2 \mathrm{SO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_{3}(\mathrm{~g})$
$\mathrm{DH}=-57.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and $\mathrm{K}_{\mathrm{c}}=1.7 \times 10^{16}$
Which of the following statement is INCORRECT ?
(a) The equilibrium constant is l... | 1 |
22. $\int_{0}^{\frac{2}{3}} \frac{d x}{4+9 x^{2}}$ equals
(A) $\frac{\pi}{6}$
(B) $\frac{\pi}{12}$
(C) $\frac{\pi}{24}$
(D) $\frac{\pi}{4}$ | 1 |
4. Statement 1: The maximum value of
$$
\left.\left(\sqrt{-3+4 x-x^{2}}+4\right)^{2}+(x-5)^{2} \text { (where } 1 \leq x \leq 3\right) \text { is } 36
$$
Statement 2: The maximum distance between the point $(5,-4)$ and the point on the circle $(x-2)^{2}+y^{2}=1$ is 6 . | 1 |
A close male friend hugged me good night, I kissed him on the cheek. He seems freaked out. Why? | 0 |
Example 1.49 Solve $|2 x-3|+|x-1|=|x-2|$. | 1 |
4. The potential energy of a particle is given by the expression $U(x)=-\alpha x+\beta \sin \frac{x}{\gamma}$. A dimensionless combination of the constants $\alpha, \beta$ and $\gamma$ is :
(a) $\frac{\alpha}{\beta \gamma}$
(b) $\frac{\alpha^{2}}{\beta \alpha}$
(c ) $\frac{\gamma}{\alpha \beta}$
(d) $\frac{\alpha \... | 1 |
3. Two metal spheres of radii $a$ and $b$ are connected by a thin wire. Their separation is very large compared to their dimensions. The capacitance of this system is
(a) $4 \pi \varepsilon_{0}(a b)$
(b) $2 \pi \varepsilon_{0}(a+b)$
(c) $4 \pi \varepsilon_{0}(a+b)$
(d) $4 \pi \varepsilon_{0} \frac{a^{2}+b^{2}}{2}$ | 1 |
Which is better, preparing for UPSC or the GATE? | 0 |
Example 2.13 If sum of square of roots of the equation $x^{2}+(p+i q) x+3 i=0$ is 8 then find the value of $p$ and $q$, where $p$ and $q$ are real. | 1 |
22. The sides $A C$ and $A B$ of a $\triangle A B C$ touch the conjugate hyperbola of the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$. If the vertex A lies on the ellipse $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$, then the side $B C$ must
touch
a. parabola
b. circle
c. hyperbola
d. ellipse | 1 |
57 The uncompressed radius of the fuel pellet of Sample Problem 43.05 is $20 \mu \mathrm{m}$. Suppose that the compressed fuel pellet "burns" with an efficiency of $10 \%$-that is, only $10 \%$ of the deuterons and $10 \%$ of the tritons participate in the fusion reaction of Eq. 43-15. (a) How much energy is release... | 1 |
5. Using $B=\mu_{0} H$ find the ratio $E_{0} / H_{0}$ for a plane electromagnetic wave propagating through vacuum. Show that it has the dimensions of electric resistance. This ratio is a universal constant called the impedance of free space. | 1 |
What type of educational plan does the Central Board of Secondary Education use in Hyderabad? | 0 |
37. A sample of hydrazine sulphate $\left(\mathrm{N}_{2} \mathrm{H}_{6} \mathrm{SO}_{4}\right)$ was dissolved in $100 \mathrm{~mL}$. of water, $10 \mathrm{~mL}$ of this solution was reacted with excess of ferric chloride solution and warmed to complete the reaction. Ferrous ion
formed was estimated and it required $2... | 1 |
19. All the surfaces and pulleys are frictionless in the shown arrangement. Pulleys $P$ and $Q$ are massless. The force applied by clamp on pulley $P$ is
(a) $\frac{m g}{6}(-\sqrt{3} \hat{\... | 1 |
Why don't some people accept anonymous a2a? | 0 |
(viii) Hexaammineplatinum(IV) | 1 |
40. The boolean expression $\sim(p \vee q) \vee(\sim p \wedge q)$ is equivalent to
(a) $\sim p$
(b) $p$
(c) $q$
(d) $\sim q$ | 1 |
Are all the facts shown in the movie "MSD an untold story" true? | 0 |
Sample Problem 44.04 Xi-minus decay: conservation of quantum numbers
A particle called xi-minus and having the symbol $\Xi^{-}$decays as follows:
$$
\Xi^{-} \rightarrow \Lambda^{0}+\pi^{-}
$$
The $\Lambda^{0}$ particle (called lambda-zero) and the $\pi^{-}$particle are both unstable. The following decay processes occ... | 1 |
How can the effects of osmosis on cells be explained? | 0 |
Why is the Many World Theory deterministic? | 0 |
Why do some people drive slowly (10+ MPH under the speed limit) in the passing lane? | 0 |
How do I post a question in quora? | 0 |
What was the second step Bowers took in editing a single work with two versions? | 0 |
17. The hardness of a water sample containing $10^{-3} \mathrm{M} \mathrm{MgSO}_4$ expressed as $\mathrm{CaCO}_3$ equivalents (in $\mathrm{ppm}$ ) is $\qquad$ (molar mass of $\mathrm{MgSO}_4$ is $120.37 \mathrm{~g} / \mathrm{mol}$ )
as $\mathrm{CaCO}_{3}$ equivalents (in ppm) is | 1 |
1. In a process, the pressure of an ideal gas is proportional to square of the volume of the gas. If the temperature of the gas increases in this process, then work done by this gas
(a) is positive
(b) is negative
(c) is zero
(d) may be positive or negative | 1 |
4.83. A ball of mass $m$ can perform undamped harmonic oscillations about the point $x=0$ with natural frequency $\omega_{0}$. At the moment $t=0$, when the ball was in equilibrium, a force $F_{x}=F_{0} \cos \omega t$ coinciding with the $x$ axis was applied to it. Find the law of forced oscillation $x(t)$ for that bal... | 1 |
Baby Girl Names Starting With A? | 0 |
29. Let $\omega=(-1 / 2)+i(\sqrt{3} / 2)$. Then the value of the determi$\operatorname{nant}\left|\begin{array}{ccc}1 & 1 & 1 \\ 1 & -1-\omega^{2} & \omega^{2} \\ 1 & \omega^{2} & \omega^{4}\end{array}\right|$ is
a. $3 \omega$
b. $3 \omega(\omega-1)$
c. $3 \omega^{2}$
d. $3 \omega(1-\omega)$ | 1 |
If a cop who has pulled me over walks toward my car, would anything happen if I get out of my car holding my license? | 0 |
9. The $\mathrm{pH}$ of a $0.02 \mathrm{M} \mathrm{NH}_{4} \mathrm{Cl}$ solution will be [ given $\mathrm{K}_{\mathrm{b}}\left(\mathrm{NH}_{4} \mathrm{OH}\right)=10^{-5}$ and $\log 2=0.301]$
(a) 2.65
(b) 4.35
(c) 4.65
(d) 5.35 | 1 |
I really really love a guy. He doesn't love me. He tells me bad things like he won't have sex with me or that I need to give him money. When I don't give him what he asks he won't talk to me. I can't live without him. What should I have to do? | 0 |
Who would win a fight between Goku and the hulk? | 0 |
Example 8.16 If $f(0)=1, f(2)=3, f^{\prime}(2)=5$, then find the value
$$
\text { of } \int_0^1 x f^{\prime \prime}(2 x) d x
$$ | 1 |
What are key differences betweeen the Democratic and Republican parties of today? | 0 |
27. Complete and balance the following reactions : | 1 |
91. $L_{1}$ and $L_{2}$ are two lines. If the reflection of $L_{1}$ in $L_{2}$ and the reflection of $L_{2}$ in $L_{1}$ coincide, then the angle between the lines is
a. $30^{\circ}$
b. $60^{\circ}$
c. $45^{\circ}$
d. $90^{\circ}$ | 1 |
New Delhi's service sector has expanded largely due to skilled workers that speak what language? | 0 |
16. A simple pendulum with a charged bob is oscillating as shown in the figure. Time period of oscillation is $T$ and angular amplitude is $\theta$. If a uniform magnetic field perpendicular to the plane of oscillation is switched on, then
 $\mathrm{CO}_{2}$
(b) $\mathrm{NO}_{2}$
(c) $\mathrm{SO}_{2}$
(d) $\mathrm{ClO}_{2}$ | 1 |
1. If the light moving in a straight line bends by a small but fixed angle, it may be a case of
(a) reflection
(b) refraction
(c) diffraction
(d) dispersion. | 1 |
Is life easy? | 0 |
25. If the displacement of a particle varies with time as $\sqrt{x}=t+3$
(a) velocity of the particle is inversely proportional to $t$
(b) velocity of particle varies linearly with $t$
(c) velocity of particle is proportional to $\sqrt{t}$
(d) initial velocity of the particle is zero | 1 |
14. An electron donating substituent in benzene orients the incoming electrophilic group to the meta position.
// MCQs with One or More than One Correet Answer | 1 |
73 SSM At what frequency do molecules (diameter 290 pm ) collide in (an ideal) oxygen gas $\left(\mathrm{O}_{2}\right)$ at temperature 400 K and pressure 2.00 atm ? | 1 |
26. Equation of auxiliary circle of ellipse is
a. $x^{2}+y^{4}=6.5$
b. $x^{2}+y^{4}=5$
c. $x^{2}+y^{4}=45$
d. none of these | 1 |
29. Which molecule/ion among the following cannot act as a ligand in complex compounds
(a) $\mathrm{CH}_{4}$
(b) $\mathrm{CO}$
(c) $\mathrm{CN}^{-}$
(d) $\mathrm{Br}^{-}$ | 1 |
3.13 Write the chemistry of recharging the lead storage battery, highlighting all the materials that are involved during recharging. | 1 |
What are all the ways to achieve lucid dreaming? | 0 |
What do you think about life after death? | 0 |
81. Sum of all the solutions in $[0,4 \pi]$ of the equation $\tan x+\cot x+1=\cos \left(x+\frac{\pi}{4}\right)$ is
a. $3 \pi$
h $\pi / 2$
c. $7 \pi 2$
d $4 \pi$ | 1 |
3. A particle executes simple harmonic motion with an amplitude of $5 \mathrm{~cm}$. When the particle is at $4 \mathrm{~cm}$ from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time (in seconds) is
(a) $\frac{4 \pi}{3}$
(b) $\frac{8 \pi}{3}$
(c) $\... | 1 |
What case was fundamental in the fight to change warranty laws? | 0 |
When did Islam begin to become a political power in India? | 0 |
3. Which of the following is true?
a. $\cos L<\cos R$
b. $\tan (2 L)>\tan 2 R$
c. $\sin L>\sin R$
d. None of these | 1 |
What is the process in which cells fill in the interior of the gastrula to form the mesoderm called? | 0 |
43. The general solution of $\sin 3 \alpha=4 \sin \alpha \sin (x+\alpha) \sin (x-\alpha)$ is
a. $n \pi \pm \pi / 4, \forall n \in Z$
b. $n \pi \pm \pi / 3, \forall n \in Z$
c. $n \pi \pm \pi / 9, \forall n \in Z$
d $n \pi \pm \pi / 12, \forall n \in Z$ | 1 |
Who was one of the first Greeks to adopt a humanistic outlook? | 0 |
How are people in Pakistan responding to the Peshawar school assault? | 0 |
What is the best way to learn piano for adult? | 0 |
What is the main reason for US support of Israel? | 0 |
66. The tangent at any point $P$ on the parabola $y^{2}=4 a x$ intersects the $y$-axis at $Q$. The tangent to the circum circle of triangle $P Q S$ ( $S$ is the focus) at $Q$ is
a. a line parallel to $x$-axis
b. $y$-axis
c. a line parallel to $y$-axis
d. none of these | 1 |
What theory was developed by Arnold? | 0 |
24. The speed of the block at point $B$ immediately after it strikes the second incline is
(a) $\sqrt{60} \mathrm{~m} / \mathrm{s}$
(b) $\sqrt{45} \mathrm{~m} / \mathrm{s}$
(c) $\sqrt{30} \mathrm{~m} / \mathrm{s}$
(d) $\sqrt{15} \mathrm{~m} / \mathrm{s}$ | 1 |
46. How many carbon atoms are in the longest carbon chain (IUPAC)?
(A) 4
(B) 5
(C) 6
(D) 7 | 1 |
6. $15 \mathrm{~g}$ ice at $0^{\circ} \mathrm{C}$ is mixed with $10 \mathrm{~g}$ water at $40^{\circ} \mathrm{C}$. Find the temperature of mixture. Also, find mass of water and ice in the mixture. | 1 |
22. Four forces of magnitude $P, 2 P, 3 P$ and $4 P$ act along the four sides of a square $A B C D$ in cyclic order. Use the vector method to find the magnitude of resultant force. | 1 |
8. The function $f:[0,3] \rightarrow[1,29]$, defined by
$$
f(x)=2 x^{3}-15 x^{2}+36 x+1, \text { is }
$$
(2012)
(a) one-one and onto
(b) onto but not one-one
(c) one-one but not onto
(d) neither one-one nor onto | 1 |
13. If $\vec{a}$ and $\vec{b}$ are two unit vectors perpendicular to each other and $\vec{c}=\lambda_{1} \vec{a}+\lambda_{2} \vec{b}+\lambda_{3}(\vec{a} \times \vec{b})$, then which of the following is (are) true?
a. $\lambda_{1}=\vec{a} \cdot \vec{c}$
b. $\lambda_{2}=|\vec{b} \times \vec{c}|$
c. $\lambda_{3}=|(\vec{a}... | 1 |
3. If concave mirror is replaced by convex mirror of same focal length, then coordinates of image formed by $M_{2}$ will be
(a) $(10 \mathrm{~cm}, 12 \mathrm{~cm})$
(b) $(10 \mathrm{~cm}, 22 \mathrm{~cm}$ )
(c) $(10 \mathrm{~cm}, 8 \mathrm{~cm})$
(d) None of these | 1 |
Why are humans so hating? | 0 |
My roomate is letting her dog to shit in the house. What can I do? | 0 |
12. A student performed the experiment of determination of focal length of a concave mirror by $u-v$ method using an optical bench of length $1.5 \mathrm{~m}$. The focal length of the mirror used is $24 \mathrm{~cm}$. The maximum error in the location of the image can be $0.2 \mathrm{~cm}$. The 5 sets of $(u, v)$ value... | 1 |
I am supposed to do a Biotechnology related project at IIT GUWAHATI. I need to learn C++, what are the best books or sources to learn? | 0 |
What led to the increased use of armor in the 12th century? | 0 |
Different documents that represent the same original text are called what? | 0 |
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