Question stringlengths 2 3k | label int64 0 1 |
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8. In which of the following crystals alternate tetrahedral voids are occupied?
(a) $\mathrm{NaCl}$
(b) $\mathrm{ZnS}$
(c) $\mathrm{CaF}_{2}$
(d) $\mathrm{Na}_{2} \mathrm{O}$ | 1 |
13. Velocity-time graph of a particle moving in a straight line is shown in figure. In the time interval from $t=0$ to $t=14 \mathrm{~s}$, find
(a) average velocity and
(b) average speed ... | 1 |
9. Two particles $X$ and $Y$ having equal charge, after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii $R_{1}$ and $R_{2}$ respectively. The ratio of the mass of $X$ to that of $Y$ is
(a) $\left(R_{1} / R_{2}\right)^{1 / 2}$
(b) $R_{... | 1 |
What was the nationality of Carl Lange? | 0 |
In Batman v Superman, why does Lex Luthor hate Superman? | 0 |
7. Repeat part (a) of problem 6 if the push is applied horizontally and not parallel to the incline. | 1 |
25. If $\int \tan ^{6} x d x=\frac{\tan ^{5} x}{5}+A \tan ^{3} x+B \tan x+C x+D$, then $A+B+C$ is equal to
(a) $-1 / 2$
(b) $-1 / 4$
(c) $-1 / 3$
(d) $-1 / 5$ | 1 |
After King Ferdinand died, who remained under Spanish rule? | 0 |
What was the religion of the western half of Bengal? | 0 |
A lot of American common law diverged from where? | 0 |
Who is going to win the presidential election? | 0 |
How people make money by answering questions in Qoura? | 0 |
Can I take legal action if somebody threatens to beat me up online? | 0 |
What are some good research topics for a PhD in computer science? | 0 |
How is Data Science different from Big Data Analysis? | 0 |
Where can I download audio books for free? | 0 |
Do CS guys understand the meaning of "graph" in Facebook's Graph Search? | 0 |
8. Assertion : In displacement-time graph of a particle as shown in figure, velocity of particle changes its direction at point $A$.
Reason : Sign of slope of $s$-t graph decides the direct... | 1 |
89. If $\vec{a}, \vec{b}$ and $\vec{c}$ are non-coplanar vectors and $\vec{a} \times \vec{c}$ is perpendicular to $\vec{a} \times(\vec{b} \times \vec{c})$, then the value of $[\vec{a} \times(\vec{b} \times \vec{c})] \times \vec{c}$ is equal to
a. $[\vec{a} \vec{b} \vec{c}] \vec{c}$.
b. $[\vec{a} \vec{b} \vec{c}] \vec{b... | 1 |
What is the scariest paranormal experience you have ever had? | 0 |
Which three early theorist helped shape sociology of culture? | 0 |
3. In a photoelectric effect experiment, the threshold wavelength of light is $380 \mathrm{~nm}$. If the wavelength of incident light
is $260 \mathrm{~nm}$, the maximum kinetic energy of emitted electrons will be
Given, $E($ in $\mathrm{eV})=\frac{1237}{\lambda(\text { in } \mathrm{nm})}$
(a) $15.1 \mathrm{eV}$
(... | 1 |
24. The expression $\left[x+\left(x^{3}-1\right)^{1 / 2}\right]^{5}+\left[x-\left(x^{3}-1\right)^{1 / 2}\right]^{5}$ is a polynomial of degree
(a) 5
(b) 6
(c) 7
(d) 8
(1992, 2M) | 1 |
15. Three of the six vertices of a regular hexagon are chosen at rondom. The probability that the triangle with three vertices is equilateral, equals
(1995, 2M)
(a) $1 / 2$
(b) $1 / 5$
(c) $1 / 10$
(d) $1 / 20$ | 1 |
24. If $\vec{a}, \vec{b}, \vec{c}$ and $\vec{d}$ are unit vectors such that $(\vec{a} \times \vec{b}) \cdot(\vec{c} \times \vec{d})=1$ and $\vec{a} \cdot \vec{c}=\frac{1}{2}$, then
a. $\vec{a}, \vec{b}$ and $\vec{c}$ are non-coplanar
b. $\vec{b}, \vec{c}$ and $\vec{d}$ are non-coplanar
c. $\vec{b}$ and $\vec{d}$ are no... | 1 |
14. Fast neutrons can easily be slowed down by
(a) the use of lead shielding
(b) passing them through heavy water
(c) elastic collisions with heavy nuclei
(d) applying a strong electric field | 1 |
On what wall of a church was the Last Judgment typically painted? | 0 |
Masters degree in business or go start a business? | 0 |
IF not Narendra Modi, who can be the next best Prime Minister of India, Why? | 0 |
11. In the electrolysis of $\mathrm{CuCl}_{2}$ solution (aq) with Cu electrodes, the weight of cathode increased by 3.2 g . In the anode,
(a) 0.05 mole of $\mathrm{Cu}^{2+}$ will go into the solution
(b) 560 mL of $\mathrm{O}_{2}$ will be liberated
(c) 112 mL of $\mathrm{Cl}_{2}$ will be liberated
(d) 3... | 1 |
4.  | 1 |
What makes it difficult to determine if someone is homosexual or not? | 0 |
How can I Remotely hack a mobile phone? | 0 |
112. The range of a projectile depends not only on $v_{0}$ and $\theta_{0}$ but also on the value $g$ of the free-fall acceleration, which varies from place to place. In 1936, Jesse Owens established a world's running broad jump record of 8.09 m at the Olympic Games at Berlin (where $g=9.8128 \mathrm{~m} / \mathrm{s}^{... | 1 |
23. In a closed end pipe of length $105 \mathrm{~cm}$, standing waves are set up corresponding to the third overtone. What distance from the closed end, amongst the following is a pressure node?
(a) $20 \mathrm{~cm}$
(b) $60 \mathrm{~cm}$
(c) $85 \mathrm{~cm}$
(d) $45 \mathrm{~cm}$ | 1 |
The "father of medicine" is a name given to whom in history? | 0 |
Whose observations were included in the 1981 publication of the Book of Mormon? | 0 |
10. If $f(x)=\sqrt{1+\cos ^{2}\left(x^{2}\right)}$, then $f^{\prime}\left(\frac{\sqrt{\pi}}{2}\right)$ is
a. $\sqrt{\pi} / 6$
b. $-\sqrt{(\pi / 6)}$
c. $1 / \sqrt{6}$
d. $\pi / \sqrt{6}$ | 1 |
What are some deaths with little pain? | 0 |
example 2.4 Prove that the maximum number of points. with rational coordinates on a circle whose centre is $(\sqrt{3}, 0)$ is two. | 1 |
What is the temperament of a Lab/Pitbull mix? | 0 |
Is there a way to get used books from amazon.com delivered in India? | 0 |
What strikes first time visitors as special or unusual when they arrive in Aurora, CO? | 0 |
9. Let $f(x)=\int_{1}^{x} \sqrt{2-t^{2}} d t$. Then, the real roots of the equation $x^{2}-f^{\prime}(x)=0$ are
(a) \pm 1
(b) $\pm \frac{1}{\sqrt{2}}$
(c) $\pm \frac{1}{2}$
(d) 0 and 1 | 1 |
6. The Wurtz-Fittig reaction involves condensation of :
(a) two molecules of aryl halides
(b) one molecule of each of aryl-halide and alkyl-halide.
(c) one molecule of each of aryl-halide and phenol.
(d) two molecules of aralkyl-halides. | 1 |
24. Bond order normally gives idea of stability of a molecular species. All the molecules viz. $\mathrm{H}_{2}, \mathrm{Li}_{2}$ and $\mathrm{B}_{2}$ have the same bond order yet they are not equally stable. Their stability order is
(a) $\mathrm{H}_{2}>\mathrm{B}_{2}>\mathrm{Li}_{2}$
(b) $\mathrm{... | 1 |
How were former Tsarist Officers utilized? | 0 |
Who do you think will be the best choice for India's next president after Pranab Mukherjee? | 0 |
What is an asset? | 0 |
Is there a difference between a serpent and a snake? | 0 |
How much cement, aggregate, and sand are required in 1 brass? | 0 |
Literature on how earnings and how it relates to schooling was greatly influenced by who? | 0 |
Who is Sonam Gupta and what's the scene behind it? | 0 |
Can white hair turn into black? | 0 |
49. If $\int f(x) \sin x \cos x d x=\frac{1}{2\left(b^{2}-a^{2}\right)} \ln f(x)+c$, then $f(x)$ is equal to
a. $\frac{1}{a^{2} \sin ^{2} x+b^{2} \cos ^{2} x}$
b. $\frac{1}{a^{2} \sin ^{2} x-b^{2} \cos ^{2} x}$
c. $\frac{1}{a^{2} \cos ^{2} x+b^{2} \sin ^{2} x}$
d. $\frac{1}{a^{2} \cos ^{2} x-b^{2} \sin ^{2} x}$ | 1 |
16. A ray of light travelling in air is incident at grazing angle (incident angle $=90^{\circ}$ ) on a large rectangular slab of a transparent medium of thickness $\mathrm{t}=1.0 \mathrm{~m}$ (see figure). The point of incident is the origin $\mathrm{A}(0,0)$.
The medium has a variable index of refraction $\mu(y)$ giv... | 1 |
5.135. Light with wavelength $\lambda$ falls on a diffraction grating at right angles. Find the angular dispersion of the grating as a function of diffraction angle $\theta$. | 1 |
12. Let $y(x)$ be a solution of the differential equation $\left(1+e^{x}\right) y^{\prime}+y e^{x}=1$. If $y(0)=2$, then which of the following statement(s) is/are true?
(a) $y(-4)=0$
(b) $y(-2)=0$
(c) $y(x)$ has a critical point in the interval $(-1,0)$
(d) $y(x)$ has no critical point in the interval $(-1,0)$ | 1 |
10. In an acid base titration, $0.1 \mathrm{M} \mathrm{HCl}$ solution was added to the $\mathrm{NaOH}$ solution of unknown strength. Which of the following correctly shows the change of $\mathrm{pH}$ of the titration mixture in this experiment?
 with greater average speed
(b) with smaller average speed
(c) with greater average kinetic energy
(d) with smaller average kinetic energy. | 1 |
(c) Only one of them will qualify the examination. | 1 |
27. The following acids have been arranged in the order of decreasing acid strength. Identify the correct order.
$\mathrm{ClOH}(\mathrm{I}), \mathrm{BrOH}(\mathrm{II}), \mathrm{IOH}(\mathrm{III})$
(a) I $>$ II $>$ III
(b) II $>$ I $>$ III
(c) III $>$ II $>$ I
(d) I $>$ III $>$ II | 1 |
The local Government of Delhi and the Central Government of India jointly administer what city? | 0 |
Illustration 1.26 If two sides of a triangle are $\hat{i}+2 \hat{j}$ and $\hat{i}+\hat{k}$, then find the length of the third side. | 1 |
What universities does Lifetime Brands recruit new grads from? What majors are they looking for? | 0 |
(i) $\mathrm{A}=\{a, b, c\}$ | 1 |
What was the port of Piraeus declared to be in 2013? | 0 |
10. Which of the following is true about
$f(x)=\left\{\begin{array}{cl}\frac{(x-2)}{|x-2|}\left(\frac{x^{2}-1}{x^{2}+1}\right) ; & x \neq 2 \\ \frac{3}{5} ; & x=2\end{array}\right.$
a. $f(x)$ is continuous at $x=2$.
b. $f(x)$ has removable discontinuity at $x=2$.
c. $f(x)$ has non-removable discontinuity at $x=2$.
d.... | 1 |
29. A steady current of magnitude $I$ and an AC current of peak value $I$ are allowed to pass through identical resistors for the same time. The ratio of heat produced in the two resistors will be
(a) $2: 1$
(b) $1: 2$
(c) $1: 1$
(d) None of these | 1 |
38. For a second-order reaction of the type:
$$
\underset{a-x}{a} \rightarrow \underset{x / 2}{2 \mathrm{~A}},
$$
the rate law is given by
$$
\text { rate }=-\frac{1}{2} \frac{d(a-x)}{d t}=+\frac{d(x / 2)}{d t}=k_{2}(a-x)^{2}
$$
The integrated rate law will be
(a) $k=\frac{1}{t}\left\{\frac{x}{a(a-x)}\right\}$
(b) ... | 1 |
8. If the circle $x^{2}+y^{2}=a^{2}$ intersects the hyperbola $x y=c^{2}$ in four points $P\left(x_{1}, y_{1}\right), Q\left(x_{2}, y_{2}\right), R\left(x_{3}, y_{3}\right), S\left(x_{4}, y_{4}\right)$ then
a. $x_{1}+x_{2}+x_{3}+x_{4}=0$
b. $y_{1}+y_{2}+y_{3}+y_{4}=0$
c. $x_{1} x_{2} x_{3} x_{4}=c^{4}$
d. $y_{1} y_{2} ... | 1 |
What is background and benefits of GST? | 0 |
4. At critical temperature, the surface tension of a liquid
(a) is zero
(b) is infinity
(c) is same as that at any other temperature
(d) cannot be determined | 1 |
6. A section of fixed smooth circular track of radius $R$ in vertical plane is shown in the figure. A block is released from position $A$ and leaves the track at $B$. The radius of curvature of its trajectory just after it leaves the track at $B$ is ?
 The string makes an angle of $\tan ^{-1}(a / g)$ with the vertical
(b) The string makes an angle of $\sin ^{-1} \frac{a}{g}$ with the vertical
(c) The tension in the string is $m \sqrt{a^{2}+g^... | 1 |
15. The correct statements(s) concerning the structures E,F and G is (are)
(a) E,F, and G are resonance structures
(b) E,F and E, G are tautomers
(c) $\mathrm{F}$ and $\mathrm{G}$ are geometrical isomers
(d) $\mat... | 1 |
12 What is the probability that, at a temperature of $T=300 \mathrm{~K}$, an electron will jump across the energy gap $E_{g}(=5.5 \mathrm{eV})$ in a diamond that has a mass equal to the mass of Earth? Use the molar mass of carbon in Appendix F; assume that in diamond there is one valence electron per carbon atom. | 1 |
What are the advantages of being an NTSE Scholar? | 0 |
What is the Sahara, and how do the average temperatures there compare to the ones in the Patagonian Desert? | 0 |
Which intersections in Phoenix are particularly dangerous? Why? What could be done to improve them? | 0 |
10. The value of (0, 2n) for which the equation is 2 sin2 8-5 sin 8+ 2 > 0 is ·
a. $\left(0, \frac{\pi}{6}\right) \cup\left(\frac{5 \pi}{6}, 2 \pi\right) \mathbf{h}\left(\frac{\pi}{8}, \frac{5 \pi}{6}\right)$
c. $\left(0, \frac{\pi}{8}\right) \cup\left(\frac{\pi}{6}, \frac{5 \pi}{6}\right)$
d $\left(\frac{41 \pi}{48}... | 1 |
What is the temporal bone's projection? | 0 |
48. The centre of the circle given by $\vec{r} \cdot(\hat{i}+2 \hat{j}+2 \hat{k})=15$ and $|\vec{r}-(\hat{j}+2 \hat{k})|=4$ is
a. $(0,1,2)$
b. $(1,3,4)$
c. $(-1,3,4)$
d. none of these | 1 |
Ex. 47. Two solids A and C dissociate into gas products as follows.
$$
\begin{aligned}
& \mathrm{A}(\mathrm{~s}) \rightleftharpoons \mathrm{B}(\mathrm{~g})+\mathrm{D}(\mathrm{~g}) ; K_{p_{1}}=400 \\
& \mathrm{C}(\mathrm{~s}) \rightleftharpoons \mathrm{E}(\mathrm{~g})+\mathrm{D}(\mathrm{~g}) ; K_{p_{2}}=900
\end{aligne... | 1 |
7. Two concentric spherical shells have masses $m_{1}, m_{2}$ and radii $R_{1}, R_{2}\left(R_{1}<R_{2}\right)$. Calculate the force exerted by this system on a particle of mass $m$, if it is placed at a distance $\frac{\left(R_{1}+R_{2}\right)}{2}$ from the centre. | 1 |
What does ' [*]' mean? | 0 |
How do I get over the fear and shame of speaking in an Indian accent in the US? | 0 |
9.26 What is meant by 'demineralised' water and how can it be obtained? | 1 |
I have completed D.C. Pandey and I'm doing H. C. Verma. Should I solve Cengage problems in physics for the JEE Advanced? Is it good enough? | 0 |
What can burn body fat? Are natural supplements helpful for losing weight? | 0 |
What are the job opportunities for a biomedical engineer in India? | 0 |
Does taking more AP classes give you a better chance of getting into a top school? | 0 |
If I have a research paper how and where can I publish it? | 0 |
1. $\int_{0}^{\pi / 2} \sin x d x$ is equal to
a. $\frac{\pi}{8}(1+\sqrt{2})$
b. $\frac{\pi}{4}(1+\sqrt{2})$
c. $\frac{\pi}{8 \sqrt{2}}$
d. $\frac{\pi}{4 \sqrt{2}}$ | 1 |
What are possible ways to be able to generate a lot of money without a degree? | 0 |
How can I have music on and take a snapchat video with headphones? | 0 |
Example 2.39 If $\frac{\cos ^{4} A}{\cos ^{2} B}+\frac{\sin ^{4} A}{\sin ^{2} B}=1$, then prove that
$$
\text { a } \sin ^{4} A+\sin ^{4} B=2 \sin ^{2} A \sin ^{2} B \quad \text { b } \frac{\cos ^{4} B}{\cos ^{2} A}+\frac{\sin ^{4} B}{\sin ^{2} A}=1
$$ | 1 |
29. The ratio of the energy of a photon of $2000 \AA$ wavelength radiation to that of $4000 \AA$ radiation is :
(a) $1 / 4$
(b) 4
(c) $1 / 2$
(d) 2 | 1 |
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