Question stringlengths 2 3k | label int64 0 1 |
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Which are the best songs of eric clapton? | 0 |
38. The figure shows a conducting ring of radius $R$. A uniform steady magnetic field $B$ lies perpendicular to the plane of the ring in a circular region of radius $r(<R)$. If the resistance per unit length of the ring is $\lambda$, then the current induced in the ring when its radius gets doubled is
 $\mathrm{NO}$
(b) $\mathrm{N}_{2} \mathrm{O}_{3}$
(c) $\mathrm{N}_{2} \mathrm{O}_{5}$
(d) $\mathrm{N}_{2} \mathrm{O}_{4}$ | 1 |
32. A loaded spring gun of mass $M$ fires a bullet of mass $m$ with a velocity $v$ at an angle of elevation $\theta$. The gun is initially at rest on a horizontal smooth surface. After firing, the centre of mass of the gun and bullet system
(a) moves with velocity $\frac{v}{M} m$
(b) moves with velocity $\frac{v m}{M... | 1 |
9. If $\int_{0}^{\pi / 2} f(x) d x=3$, then the value of $\lambda$ is
a. 1
b. $3 / 2$
c. $4 / 3$
d. None of these | 1 |
5. Chlorine on reaction with hot and concentrated sodium hydroxide gives :
(a) $\mathrm{Cl}^{-}$and $\mathrm{ClO}_{3}^{-}$
(b) $\mathrm{Cl}^{-}$and $\mathrm{ClO}^{-}$
(c) $\mathrm{ClO}_{3}^{-}$and $\mathrm{ClO}_{2}^{-}$
(d) $\mathrm{Cl}^{-}$and $\mathrm{ClO}_{2}^{-}$ | 1 |
20. Let $\left\{D_{1}, D_{2}, D_{3}, \ldots, D_{n}\right\}$ be the set of third-order determinants that can be made with the distinct non-zero real numbers $a_{1}, a_{2}$, ..., $a_{9}$. Then
a. $\sum_{i=1}^{n} D_{i}=1$
b. $\sum_{i=1}^{n} D_{i}=0$
c. $D_{i}=D_{j}, \forall i, j$
d. None of these | 1 |
Does every dreams have a meaning? | 0 |
19. A quantity $X$ is given by $\varepsilon_{0} L \frac{\Delta V}{\Delta t}$, where $\varepsilon_{0}$ is the permittivity of free space, $L$ is a length, $\Delta V$ is a potential difference and $\Delta t$ is a time interval. The dimensional formula for $X$ is the same as that of
(a) resistance
(b) charge
(c) voltage
(... | 1 |
18. A hydrogen atom contains one proton and one electron. It may be assumed that the electron revolves in a circle of radius 0.53 angstrom ( 1 angstrom $=10^{-10} \mathrm{~m}$ and is abbreviated as $\AA$ ) with the proton at the centre. The hydrogen atom is said to be in the ground state in this case. Find the magnitud... | 1 |
How can I calculate the air flow on a certain pressure? | 0 |
How can we learn hacking efficiently? | 0 |
53. The solution of the differential equation
$$
\left\{1+x \sqrt{\left(x^{2}+y^{2}\right)}\right\} d x+\left\{\sqrt{\left(x^{2}+y^{2}\right)}-1\right\} y d y=0
$$
is equal to
$$
\begin{aligned}
& \text { a. } x^{2}+\frac{y^{2}}{2}+\frac{1}{3}\left(x^{2}+y^{2}\right)^{3 / 2}=c \\
& \text { b. } x-\frac{y^{3}}{3}+\fr... | 1 |
What is the phone number for Zoho Customer Help? | 0 |
Can a Software Engineer get a job in HR department? | 0 |
Ex. 24. 0.1 mole of sodium formate was added to one litre of 0.2 M solution of formic acid $\left(K_{\mathrm{a}}=1.8 \times 10^{-4}\right)$. How will the $\mathrm{H}^{+}$concentration of the acid diminish assuming the salt to be completely dissociated? | 1 |
18. How many number of compounds which are Resonance stabilised ?
(1)
(A) 7
(B) 8
(C) 9
(D) 10 | 1 |
Why are kids being kept in-home more often than they used to? | 0 |
13. The ratio of the rate of diffusion of helium and methane under identical condition of pressure and temperature will be
(a) 4
(b) 2
(c) 1
(d) 0.5 | 1 |
(iii) sodium peroxide | 1 |
5. The switches $S_{1}$ and $S_{2}$ are closed at $t=0$. The switch $S_{2}$ is opened at $t=0.1 \ln (2) \mathrm{s}$. The current through $5 \Omega$ resistor at $t=0.2 \ln (2)$ s will be
(a) $\frac{67}{64} \mathrm{~A}$
(b) $\frac{67}{32} \mathrm{~A}$
(c) $\frac{67}{16} \mathrm{~A}$
(d) $\frac{67}{8} \mathrm{~A}$
and three connecting rods, with $M=1.6 \mathrm{~kg}, L=0.60 \mathrm{~m}$, and $\theta=30^{\circ}$. The balls may be treate... | 1 |
What is the reason for acidity and gastric? | 0 |
7. In the experimental set up of meter bridge shown in the figure, the null point is obtained at a distance of $40 \mathrm{~cm}$ from $A$. If a $10 \Omega$ resistor is connected in series with $R_{1}$, the null point shifts by $10 \mathrm{~cm}$.
The resistance that should be connected in parallel with $\left(R_{1}+10\... | 1 |
What's the best shampoo for oily and smelly hair? | 0 |
Can I get HML support for my Samsung Galaxy Grand Prime? | 0 |
If a person owns a piece of land, does he/she own it all the way down to the core of the earth? | 0 |
23. Which of the following options is the only CORRECT combination?
(a) (I) (ii) (R)
(b) (III) (iv) (P)
(c) (II) (iii) (S)
(d) (IV) (i) (S) | 1 |
78. If $\sin 2 \theta=\cos 3 \theta$ and $\theta$ is an acute angle, then $\sin \theta$ equals
a. $\frac{\sqrt{5}-1}{4}$
$\mathbf{h}-\left(\frac{\sqrt{5}-1}{4}\right)$
c. $\frac{\sqrt{5}+1}{4}$
d. $\frac{-\sqrt{5}-1}{4}$ | 1 |
40. The value of the integral $\int_{0}^{\pi / 2} \frac{\sqrt{\cot x}}{\sqrt{\cot x}+\sqrt{\tan x}} d x$ is
(a) $\pi / 4$
(b) $\pi / 2$
(c) $\pi$
(d) None of these | 1 |
9. Two blocks shown in figure are connected by a heavy uniform rope of mass $4 \mathrm{~kg}$. An upward force of $200 \mathrm{~N}$ is applied as shown.
(a) What is the acceleration of the system?
 component of the velocity of the block at point $B$, immediately after it strikes the second incline is
(a) $\sqrt{30} \mathrm{~m} / \mathrm{s}$
(b) $\sqrt{15} \mathrm{~m} / \mathrm{s}$
(c) zero
(d) $-\sqrt{15} \mathrm{... | 1 |
What is the cheapest city/cities I can fly from to Vilnius, Lithuania? | 0 |
25. Cyclohexene on ozonolysis followed by reaction with zinc dust and water gives compound E. Compound $\mathbf{E}$ on further treatment with
aqueous $\mathrm{KOH}$ yields compound $\mathbf{F}$. Compound $\mathbf{F}$ is
a)
 Resistance | (p) 4 |
| (b) Capacitive reactance | (q) 1 |
| (c) Inductive reactance | (r) 2 |
| (d) Impedance | (s) 3 |
$, let perpendiculars $P L$ and $P M$ be drawn to $Y O Z$ and $Z O X$ planes, respectively. Then the equation of the plane $O L M$ is
a. $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=0$
b. $\frac{x}{a}+\frac{y}{b}-\frac{z}{c}=0$
c. $\frac{x}{a}-\frac{y}{\dot{b}}-\frac{z}{c}=0$
d. $\frac{x}{a}-\frac... | 1 |
How many calories do I burn to lose 1kg weight per day? | 0 |
17. In the adjoining figure all surfaces are frictionless. What force $F$ must by applied to $M_{1}$ to keep $M_{3}$ free from rising or falling?
 | 1 |
25. Assume that $10^{-17} \mathrm{~J}$ of light energy is needed by the interior of the human eye to see an object. How many photons of green light ( $\lambda=495 \mathrm{~nm}$ ) are needed to generate this minimum energy? | 1 |
What's the absolute easiest way to commit suicide? | 0 |
23. A cylinder is released from rest from the top of an incline of inclination $\theta$ and length $l$. If the cylinder rolls without slipping, what will be its speed when it reaches the bottom? | 1 |
What would the Higgs field look like if we could measure it? | 0 |
1. The heat of formation of $\mathrm{HCl}(\mathrm{g})$ from the reaction
$$
\mathrm{H}_{2}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g})=2 \mathrm{HCl}(\mathrm{~g}) ; \Delta H=-44 \mathrm{kcal} \text { is }
$$
(a) +44 kcal
(b) -44 kcal
(c) +22 kcal
(d) -22 kcal | 1 |
26. Consider a large number of hydrogen atoms with electrons randomly distributed in the $n=1,2,3$, and 4 orbits. How many different wavelengths of light are emitted by these atoms as the electrons fall into lower energy orbits.
(a) 1
(b) 3
(c) 6
(d) 9 | 1 |
What jobs have a 30 hours work week? | 0 |
53. A rectangular coil of 100 turns has length $5 \mathrm{~cm}$ and width $4 \mathrm{~cm}$. It is placed with its plane parallel to a uniform magnetic field and a current of $2 \mathrm{~A}$ is sent through the coil. Find the magnitude of the magnetic field $B$, if the torque acting on the coil is $0.2 \mathrm{~N} \math... | 1 |
80. The solubility of $\mathrm{Pb}(\mathrm{OH})_{2}$ in water is $6.7 \times 10^{-6} \mathrm{M}$. Calculate the solubility of $\mathrm{Pb}(\mathrm{OH})_{2}$ in a buffer solution of $\mathrm{pH}=8$. | 1 |
Would the world be a more peaceful place if everyone spoke the same language? | 0 |
What is the best way to learn to ski as an adult? | 0 |
4. A heavy ball of mass $M$ is suspended from the ceiling of a car by a light string of mass $m(m<M)$. When the car is at rest, the speed of transverse waves in the string is $60 \mathrm{~ms}^{-1}$. When the car has acceleration $a$, the wave speed increases to $60.5 \mathrm{~ms}^{-1}$. The value of $a$, in terms of gr... | 1 |
23. Which of the following halides react(s) with $\mathrm{AgNO}_{3}(\mathrm{aq})$ to give a precipitate that dissolves in $\mathrm{Na}_{2} \mathrm{~S}_{2} \mathrm{O}_{3}(\mathrm{aq})$ ?
(a) $\mathrm{HCl}$
(b) HF
(c) $\mathrm{HBr}$
(d) $\mathrm{HI}$ | 1 |
Who invented the log cabin building method? | 0 |
82. The straight lines $x+2 y-9=0,3 x+5 y-5=0$ and $a x+b y-1=0$ are concurrent, if the straight line $35 x-22 y+1=0$ passes through the point
a. $(a, b)$
b. $(b, a)$
c. $(-a,-b)$
d. none of these | 1 |
7. A sonometer wire has a length $114 \mathrm{~cm}$ between two fixed ends. Where should two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio $1: 3: 4$
(a) $l_{1}=72 \mathrm{~cm}, l_{2}=24 \mathrm{~cm}, l_{3}=18 \mathrm{~cm}$
(b) $l_{1}=60 \mathrm{~cm}, l_{2}... | 1 |
I unfriended someone on snapchat, added them back, if they messaged me will it pop up after I add them back? Privacy settings were set to my friends. | 0 |
11. $\frac{1}{\sqrt{(x-1)(x-2)}}$ | 1 |
26. What is the radius of curvature of the parabola traced out by the projectile in the previous problem at a point where the particle velocity makes an angle $\theta / 2$ with the horizontal? | 1 |
10. Two blocks $A$ and $B$ of masses $m$ and $2 m$ respectively, attached at opposite ends of a spring of force constant $k$, placed on smooth horizontal surface. Spring is initially at its natural length 1 . A is given a velocity $2 v_{0}$ and $B$ given velocity $v_{0}$ as shown. The maximum separation between 2 m and... | 1 |
26. The percentage of $\pi$-character in the orbitals forming $\mathrm{P}-\mathrm{P}$ bonds in $\mathrm{P}_{4}$ is
(a) 25
(b) 33
(c) 50
(d) 75 | 1 |
9. Let $S$ be the set of all non-zero real numbers $\alpha$ such that the quadratic equation $\alpha x^2-x+\alpha=0$ has two distinct real roots $x_1$ and $x_2$ satisfying the inequality $\left|x_1-x_2\right|<1$. Which of the following interval(s) is/are a subset of $S$ ?
(2015 Adv.)
(a) $\left(-\frac{1}{2},-\frac{1}{\... | 1 |
20. In the previous question, minimum possible error in area measurement can be
(a) $\pm 0.02 \mathrm{~cm}^{2}$
(b) $\pm 0.01 \mathrm{~cm}^{2}$
(c) $\pm 0.03 \mathrm{~cm}^{2}$
(d) zero | 1 |
1. The dimensions of the quantities in one (or more) of the following pairs are the same. Identify the pair (s).
(a) Torque and work
(b) Angular momentum and work
(c) Energy and Young's modulus
(d) Light year and wavelength | 1 |
What does an inker do? | 0 |
(c) $t=1 \mathrm{~s}$. | 1 |
Medium of teaching in Vidya guru? | 0 |
What is pantheism? | 0 |
What is the best thing or incident in Indian history? | 0 |
91. (i) $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{COOH} \xrightarrow{\mathrm{PCl}_{5}} C \xrightarrow{\mathrm{NH}_{3}}$
$$
D \xrightarrow{\mathrm{P}_{2} \mathrm{O}_{5}} \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CN} \xrightarrow{\mathrm{H}_{2} / \mathrm{Ni}} E ;
$$
Identify $C, D$ and $E$
$ needs to be dissolved in $100 \mathrm{~g}$ of water, in order to decrease the vapour pressure of water by $25 \%$ ? What will be the molality of the solution? | 1 |
31. A bullet of mass $m$ hits a target of mass $M$ hanging by a string and gets embedded in it. If the block rises to a height $h$ as a result of this collision, the velocity of the bullet before collision is
(a) $v=\sqrt{2 g h}$
(b) $v=\sqrt{2 g h} 1+\frac{m}{M}$
(c) $v=\sqrt{2 g h} 1+\frac{M}{m}$
(d) $v=\sqrt{2 g h} ... | 1 |
What is the square root of 7? | 0 |
6. If $y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\cdots \text { to } \infty}}}$, prove that
$$
\frac{d y}{d x}=\frac{\cos x}{2 y-1}
$$ | 1 |
How many of the Delhi Metro's stations are located underground? | 0 |
What would you do if you are elected President of United States? | 0 |
What was purple considered the color for? | 0 |
6. Half-lives of two radioactive elements $A$ and $B$ are $20 \mathrm{~min}$ and $40 \mathrm{~min}$, respectively. Initially, the samples have equal number of nuclei. After $80 \mathrm{~min}$, the ratio of decayed numbers of $A$ and $B$ nuclei will be
(a) $1: 16$
(b) $4: 1$
(c) $1: 4$
(d) $5: 4$ | 1 |
1. Given :
$\mathrm{Co}^{3+}+\mathrm{e}^{-} \rightarrow \mathrm{Co}^{2+} ; \mathrm{E}^{\mathrm{o}}=+1.81 \mathrm{~V}$
$\mathrm{Pb}^{4+}+2 \mathrm{e}^{-} \rightarrow \mathrm{Pb}^{2+} ; \mathrm{E}^{\mathrm{o}}=+1.67 \mathrm{~V}$
$\mathrm{Ce}^{4+}+\mathrm{e}^{-} \rightarrow \mathrm{Ce}^{3+} ; \mathrm{E}^{\mathrm{o}}=+1... | 1 |
According to Hinduism, are souls atomic in size? | 0 |
40. For the reaction
$$
\mathrm{C}(\mathrm{~s})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{CO}_{2}(\mathrm{~g})
$$
$\Delta H^{0}=-393.51 \mathrm{~kJ} / \mathrm{mole}$ and $\Delta S^{0}=2.86 \mathrm{~J} / \mathrm{mole} \cdot \mathrm{K}$ at $25^{\circ} \mathrm{C}$. Does the reaction become more or less favourable ... | 1 |
6. An AC voltage $V=V_{0} \sin 100 t$ is applied to the circuit, the phase difference between current and voltage is found to be $\pi / 4$, then
(a) $R=100 \Omega, C=1 \mu \mathrm{F}$
(b) $R... | 1 |
4.35 Use molecular orbital theory to explain why the $\mathrm{Be}_{2}$ molecule does not exist. | 1 |
Serious studies in logic tend to resemble what discipline, moreso than literature? | 0 |
4. For $U_{n}=\int_{0}^{1} x^{n}(2-x)^{n} d x ; V_{n}=\int_{0}^{1} x^{n}(1-x)^{n} d x n \in N$, which of the following statements(s) is/are
true?
(a) $U_{n}=2^{n} V_{n}$
(b) $U_{n}=2^{-n} V_{n}$
(c) $U_{n}=2^{2 n} V_{n}$
(d) $U_{n}=2^{-2 n} V_{n}$ | 1 |
13. $\mathrm{Cu}_{2} \mathrm{~S}$ and $\mathrm{Ag}_{2} \mathrm{~S}$ are isomorphous. The percentages of sulphur in these compounds are $20 \cdot 14 \%$ and $12.94 \%$ respectively. If the atomic weight of Cu is 63.5 , calculate the atomic weight of Ag.
(107.9) | 1 |
Why does my vagina become dry and his penis become soft during sex? | 0 |
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