Question stringlengths 2 3k | label int64 0 1 |
|---|---|
Example 15 Why do we need a higher bandwidth for transmission of music compared to that for commercial telephone communication? | 1 |
Who convinced Paley to buy ARC? | 0 |
19. A wet open umbrella is hold upright and whirled about the handle with a uniform angular velocity of 21 revolutions in 44 s . If the rim of the umbrella is a circle of diameter 1 m and height of rim from the ground is 1.5 m , find the radius of the circle along which the drops of water span off the rim tangentially ... | 1 |
What are the best programming languages for beginners and why? | 0 |
What was the receiver in the initial model? | 0 |
11. The rate of a reaction doubles when its temperature changes from $300 \mathrm{~K}$ to $310 \mathrm{~K}$. Activation energy of the reaction will be : $(\mathrm{R}=$ $8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$ and $\log 2=0.301$ )
(a) $53.6 \mathrm{~kJ} \mathrm{~mol}^{-1}$
(b) $48.6 \mathrm{~kJ} \mathrm{~mol}^{-1... | 1 |
21. Let $A$ and $B$ be two events. Suppose $P(A)=0.4, P(B)=p$ and $P(A \cup B)=0.7$. The value of $p$ for which $A$ and $B$ are independent is
a. $1 / 3$
b. $1 / 4$
c. $1 / 2$
d. $1 / 5$ | 1 |
I am 14, and a student. I have a tattoo that is very noticeable on my neck. I am a straight A student body. Should I be concerned? What should I do? | 0 |
58. Decomposition of $\mathrm{H}_{2} \mathrm{O}_{2}$ follows a first order kinetics. In 50 minutes, the concentration of $\mathrm{H}_{2} \mathrm{O}_{2}$ decreases from 0.5 to 0.125 M in one such decomposition. When the concentration of $\mathrm{H}_{2} \mathrm{O}_{2}$ reaches 0.05 M , the rate of formation of $\mathrm{O... | 1 |
(e) Phosphorus and fluorine | 1 |
3. A ball of density $\rho$ is released from the surface of a liquid whose density varies with depth $h$ as, $\rho_{l}=\alpha h$. Here $\alpha$ is a positive constant. Match the following two columns. (liquid is ideal)
 $\mathrm{P}(\mathrm{A} \mid \mathrm{B})$ | 1 |
What does informal leaning usually consist of amongst people who take this route of learning? | 0 |
19. The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)
(a) Adsorption is always exothermic
(b) Physisorption may transform into chemisorption at high temperature
(c) Physisorption increases with increasing temperature but chemisorption decreases with increasing temperature
(d)... | 1 |
100. Through a point $A$ on the $x$-axis a straight line is drawn parallel to $y$-axis so as to meet the pair of straight lines $a x^{2}+2 h x y+b y^{2}=0$ in $B$ and $C$. If $A B=B C$, then
a. $h^{2}=4 a b$
b. $8 h^{2}=9 a b$
c. $9 h^{2}=8 a b$
d. $4 h^{2}=a b$ | 1 |
12. An urn contains 2 white and 2 black balls. A ball is drawn at random. If it is white, it is not replaced into urn otherwise it is replaced along with another ball of the same colour. The process is repeated. Then find the probability that the third ball drawn is black. | 1 |
73. ssm In Fig. 5-61, a tin of antioxidants ( $m_{1}=1.0 \mathrm{~kg}$ ) on a frictionless inclined surface is connected to a tin of corned beef ( $m_{2}=$ 2.0 kg ). The pulley is massless and frictionless. An upward force of magnitude $F=6.0 \mathrm{~N}$ acts on the corned beef tin, which has a downward acceleration o... | 1 |
 | 1 |
4. An electric bulb is designed to operate at 12 volts DC.
If this bulb is connected to an AC source and gives
normal brightness, what would be the peak voltage of
the source ? | 1 |
When were humanism beliefs mixed with another philosophy by a Taoist thinker? | 0 |
14. Two point charges $+q$ and $-q$ are held fixed at $(-d, 0)$ and $(d, 0)$ respectively of a $x-y$ co-ordinate system. Then
(a) the electric field $E$ at all points on the $x$-axis has the same direction.
(b) work has to be done in bringing a test charge from $\infty$ to the origin.
(c) electric field at all poin... | 1 |
(e)https://cdn.pureessence.tech/8ba49201-d14f-4a69-b427-396de0d89457.png.png | 1 |
the circle $x^{2}+y^{2}=25$ in points $P$ and $Q$, then find the coordinates of the point of intersection of tangents drawn at $P$ and $Q$ to the circle $x^{2}+y^{2}=25$. | 1 |
86. The value of $z$ satisfying the equation $\log z+\log z^{2}+\cdots+\log z^{n}$ $=0$ is
a. $\cos \frac{4 m \pi}{n(n+1)}+i \sin \frac{4 m \pi}{n(n+1)}, m=1,2, \ldots$
b. $\cos \frac{4 m \pi}{n(n+1)}-i \sin \frac{4 m \pi}{n(n+1)}, m=1,2, \ldots$
c. $\sin \frac{4 m \pi}{n}+i \cos \frac{4 m \pi}{n}, m=1,2, \ldots$
d. 0 | 1 |
18. A satellite is revolving around earth in its equatorial plane with a period $T$. If the radius of earth suddenly shrinks to half without change in the mass. Then, the new period of revolution will be
(a) $8 T$
(b) $2 \sqrt{2} T$
(c) $2 T$
(d) $T$ | 1 |
Longevity: Annette Larkin looks to be in her 40s while being older than 70. She claims this is because of her raw vegan diet and rainwater. Is this credible? | 0 |
How is the chemical formula for gold (I) nitrate determined? | 0 |
2. Which of the following rate laws has an overall order of 0.5 for the reaction $\mathrm{A}+\mathrm{B}+\mathrm{C} \rightarrow$ Product?
(a) $R=k[\mathrm{~A}] \cdot[\mathrm{B}] \cdot[\mathrm{C}]$
(b) $R=k[\mathrm{~A}]^{5}[\mathrm{~B}]^{5}[\mathrm{C}]^{5}$
(c) $R=k[\mathrm{~A}]^{1.5}[\mathrm{~B}]^{-1}[\mathrm{C}]^{0}$
(... | 1 |
If a is a perfect square why isn't a+1 a perfect square also? | 0 |
Example 3.32 Solve $\cos ^{50} x-\sin ^{50} x=1$. | 1 |
(iv) $\frac{7 \pi}{6}$ | 1 |
Why do some atheists think many religious people are stupid? | 0 |
21. A particle moves under the action of a force $\mathbf{F}=20 \hat{\mathbf{i}}+15 \hat{\mathbf{j}}$ along a straight line $3 y+\alpha x=5$, where, $\alpha$ is a constant. If the work done by the force $F$ is zero, then the value of $\alpha$ is
(a) $\frac{4}{9}$
(b) $\frac{9}{4}$
(c) 3
(d) 4 | 1 |
55. The correct statement(s) about the compound given below is (are)
(a) The compound is optically active
(b) The compound possesses centre of symmetry
(c) The compound possesses plane o... | 1 |
36. The oxidation of $\mathrm{SO}_{2}$ by $\mathrm{O}_{2}$ to $\mathrm{SO}_{3}$ is an exothermic reaction. The yield of $\mathrm{SO}_{3}$ will be maximum if
(a) temperature is increased and pressure is kept constant
(b) temperature is reduced and pressure is increased
(c) both temperature and pressure are increase... | 1 |
1. $\tan x=\sqrt{3}$ | 1 |
What is the salary needed for a family in Kuala Lumpur, Malaysia? | 0 |
49. Using the required bond-energies data from the above problems, calculate the heat of hydrogenation of ethene to ethane. | 1 |
Entrepreneurship: How did Bhavish Aggarwal and Ankit Bhati come up with the idea of a cab service, and why did they name it Ola? | 0 |
14. The coordination number of $\operatorname{Th}$ in $\mathrm{K}_{4}\left[\operatorname{Th}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{4}\left(\mathrm{H}_{2} \mathrm{O}\right)_{2}\right]$ is: $\left(\mathrm{C}_{2} \mathrm{O}_{4}^{2-}=\right.$ oxalato)
(a) 14
(b) 6
(c) 8
(d) 10
[Main Jan. 11, 2019 (II)] | 1 |
How do you make a puppy sleep through the night? | 0 |
What abolished the British slave trade? | 0 |
6. A battery-operated torch is adjusted to send an almost parallel beam of light. It produces an illuminance of 40 lux when the light falls on a wall $2 \mathrm{~m}$ away. The illuminance produced when it falls on a wall $4 \mathrm{~m}$ away is close to
(a) 40 lux
(b) 20 lux
(c) $10 \operatorname{lux}$
(d) 5 lux. | 1 |
41. An aqueous solution of $\mathrm{FeSO}_{4}, \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}$ and chrome alum is heated with excess of $\mathrm{Na}_{2} \mathrm{O}_{2}$ and filtered. The materials obtained are :
(a) a colourless filtrate and a green residue
(b) a yellow filtrate and a green residue
(c) a yellow f... | 1 |
Who bought RCA? | 0 |
4. The atomic radius of $\mathrm{Ag}$ is closest to:
(a) $\mathrm{Au}$
(b) $\mathrm{Ni}$
(c) $\mathrm{Cu}$
(d) $\mathrm{Hg}$ | 1 |
What makes you happy to be alive? | 0 |
8. If $\omega$ is a non-real cube root of unity, then which one of the following is correct about the value of $S_{n}=1 \cdot(2-\omega)\left(2-\omega^{2}\right)+2 \cdot(3-\omega)\left(3-\omega^{2}\right)+\ldots+(n-1)(n-\omega)\left(n-\omega^{2}\right)$
(a) $S_{20}=36081$
(b) $S_{10}=2016$
(c) $S_{31}=216195$
(d) $S_{15... | 1 |
6. The synthesis of 3-octyne is achieved by adding a bromoalkane into a mixture of sodium amide and an alkyne. The bromoalkane and alkyne respectively are
(a) $\mathrm{BrCH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{3}$ and $\mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{C} \equiv \mathrm{CH}$
(b) $\m... | 1 |
6. The half-life period of a radioactive element is 140 days. After 560 days, one gram of the element will reduced to :
(a) $\frac{1}{2} \mathrm{~g}$
(b) $\frac{1}{4} \mathrm{~g}$
(c) $\frac{1}{8} g$
(d) $\frac{1}{16} \mathrm{~g}$ | 1 |
Example 11.5 An electron, an $\alpha$-particle, and a proton have the same kinetic energy. Which of these particles has the shortest de Broglie wavelength? | 1 |
6.
| Column 1 | Column II |
| :--- | :--- |
| a. Six different balls are put in three different | P. $20 / 27$ |
| boxes none being empty. The probability of | |
| putting the balls equal number is | |
| b. Six letters are posted in three letter boxes. The | q. $1 / 6$ |
| probability that no letter box remains emp... | 1 |
67. A fair coin is tossed 5 times. then the probability that no two consecutive heads occur is
a. $11 / 32$
b. $15 / 32$
c. $13 / 32$
d. none of these | 1 |
What is the name of the act that caused the Union Territory of Delhi to become formally known as the National Capital Territory of Delhi? | 0 |
Which actor/actress has done the most movies? | 0 |
17.. A gas will approach ideal behaviour at
(a) low temperature and low pressure.
(b) low temperature and high pressure.
(c) high temperature and low pressure.
(d) high temperature and high pressure. | 1 |
3 A straight rod of length $L$ extends from $x=a$ to $x=L+a$. The gravitational force it exerts on a point mass $m$ at $x=0$, if the mass per unit length of the $\operatorname{rod}$ is $A+B x^{2}$, is given by
(a) $G m \quad A \quad \frac{1}{a+L}-\frac{1}{a}-B L$
(b) $G m \quad A \frac{1}{a+L}-\frac{1}{a}+B L$
(c) ... | 1 |
Problem 2.9
The threshold frequency $v_{0}$ for a metal is $7.0 \times 10^{14} \mathrm{~s}^{-1}$. Calculate the kinetic energy of an electron emitted when radiation of frequency $v=1.0 \times 10^{15} \mathrm{~s}^{-1}$ hits the metal. | 1 |
2.  | 1 |
4.8 Three girls skating on a circular ice ground of radius 200 m start from a point $P$ on the edge of the ground and reach a point $Q$ diametrically opposite to $P$ following different paths as shown in Fig. 4.20. What is the magnitude of the displacement vector for each ? For which girl is this equal to the actual le... | 1 |
Can you ask NSFW questions on Quora? | 0 |
What was the capital of the Abbasid state? | 0 |
Which century was the first writing from? | 0 |
42. Does the physical size of a galvanic cell govern the potential that it will deliver? What does the size affect?
(No) | 1 |
4. Let $a_{1}, a_{2}, \ldots, a_{10}$ be a GP. If $\frac{a_{3}}{a_{1}}=25$, then $\frac{a_{9}}{a_{5}}$ equals
(2019 Main, 11 Jan I)
(a) $5^{3}$
(b) $2\left(5^{2}\right)$
(c) $4\left(5^{2}\right)$
(d) $5^{4}$ | 1 |
Is Intel i5 good for gaming? | 0 |
Why do all flight booking websites insist that the date of the return flight should be on or after the date of departure? | 0 |
3. Moment of inertia of a sphere about its diameter is $I$. The sphere is cut in two equal parts and placed as shown in figure. The moment of inertia about the axis shown is :
(a) $I$
(b) $\frac{5}{7} I$
(c) $\frac{2}{5} I$
(d) $\frac{13}{8} I$
 the surfaces must be frictionless
(b) the force of friction between the bodies is zero
(c) the magnitude of normal force equals that of friction
(d) the bodies may be rough but they d... | 1 |
How do one say Whether a specific amino acid in a protein is binding to dna or not from sequence alone and what are its features are to be taken? | 0 |
What is the best place to hide a dead body? | 0 |
16. Which of the following will change the time period as
they are taken to moon ?
(a) A simple pendulum (b) A physical pendulum
(c) A torsional pendulum (d) A spring-mass system | 1 |
How do I file income tax evasion complaint against a person? | 0 |
Example 22.9 A copper rod $2 \mathrm{~m}$ long has a circular cross-section of radius $1 \mathrm{~cm}$. One end is kept at $100^{\circ} \mathrm{C}$ and the other at $0^{\circ} \mathrm{C}$. The surface is insulated so that negligible heat is lost through the surface. In steady state, find
(a) the thermal resistance of ... | 1 |
5. The number of real roots of the equation $x^{2}-3|x|+2=0$ is
a. 2
b. 1
c. 4
d. 3 | 1 |
Example 7.96 Evaluate | 1 |
Example 28.7 A $750 \mathrm{~Hz}, 20 \mathrm{~V}$ source is connected to a resistance of $100 \Omega$, an inductance of $0.1803 \mathrm{H}$ and a capacitance of $10 \mu \mathrm{F}$ all in series. Calculate the time in which the resistance (thermal capacity $2 \mathrm{~J} /{ }^{\circ} \mathrm{C}$ ) will get heated by $1... | 1 |
15. Two plane mirrors $A B$ and $A C$ are inclined at an angle $\theta=20^{\circ}$. A ray of light starting from point $P$ is incident at point $Q$ on the mirror $A B$, then at $R$ on mirror $A C$ and again on $S$ on $A B$. Finally, the ray $S T$ goes parallel to mirror $A C$. The angle which the ray makes with the nor... | 1 |
16. The line $x+3 y=0$ is a diameter of the circle $x^{2}+y^{2}-6 x+2 y=0$. | 1 |
19. A planet has twice the density of earth but the acceleration due to gravity on its surface is exactly the same as that on the surface of earth. Its radius in terms of earth's radius $R$ will be
(a) $R / 4$
(b) $R / 2$
(c) $R / 3$
(d) $R / 8$ | 1 |
- 46 A police officer in hot pursuit drives her car through a circular turn of radius 300 m with a constant speed of $80.0 \mathrm{~km} / \mathrm{h}$. Her mass is 55.0 kg . What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider both horizonta... | 1 |
6. Find the locus of the middle point of the portion of the line $x \cos \alpha+y \sin \alpha=p$ which is intercepted between the axes, given that $p$ remains constant. | 1 |
14. Which of the following ions does not liberate hydrogen gas on reaction with dilute acids ?
(a) $\mathrm{Ti}^{2+}$
(b) $\mathrm{V}^{2+}$
(c) $\mathrm{Cr}^{2+}$
(d) $\mathrm{Mn}^{2+}$
[Main Online April 16, 2018] | 1 |
The suprachiasmatic nucleus is a small part of what part of the brain? | 0 |
What are the pros and cons of investing in stocks, equity, and mutual funds? | 0 |
1 Two coaxial discs, having moments of inertia $I_{1}$ and $\frac{I_{1}}{2}$ are rotating with respective angular velocities $\omega_{1}$ and $\frac{\omega_{1}}{2}$, about their common axis. They are brought in contact with each other and thereafter they rotate with a common angular velocity. If $E_{f}$ and $E_{i}$ are... | 1 |
26. Equal weights of methane and oxygen are mixed in an empty container at $25^{\circ} \mathrm{C}$. The fraction of the total pressure exerted by oxygen
[1981 - 1 Mark]
(a) $\frac{1}{3}$
(b) $\frac{1}{2}$
(c) $\frac{2}{3}$
(d) $\frac{1}{3} \times \frac{273}{298}$ | 1 |
Problem 2.18 Using $s, p, d$, f notations, describe the orbital with the following quantum numbers
(a) $n=2, l=1$, (b) $n=4, l=0$, (c) $n=5$, $l=3$, (d) $n=3, l=2$ | 1 |
2. The major product formed when 1,1,1-trichloropropane is treated with aqueous potassium hydroxide, is:
(a) propyne
(b) 1 -propanol
(c) 2-propanol
(d) propionic acid | 1 |
Why shouldn't I kill myself? | 0 |
11. A particle is projected from the bottom of an inclined plane of inclination $30^{\circ}$ with velocity of $40 \mathrm{~m} / \mathrm{s}$ at an angle of $60^{\circ}$ with horizontal. Find the speed of the particle when its velocity vector is parallel to the plane. Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$. | 1 |
In Mahabharata, all Pandavas were sent to hell though Yudhistra, being righteous throughout his life except he lied once, was later sent to heaven. In the Kali Yuga, will anybody land in heaven? | 0 |
65. A die is rolled 4 times. The probability of getting a larger number than the previous number each time is
a. $17 / 216$
b. $5 / 432$
c. $15 / 432$
d. none of these | 1 |
7. If 12 identical balls are to be placed in 3 different boxes, then the probability that one of the boxes contains excatly 3 balls, is
(a) $\frac{55}{3} \frac{2}{3}$
(b) $55 \frac{2}{3}^{10}$
(c) $220 \frac{1}{3}^{12}$
(d) $22 \frac{1}{3}^{11}$
(2015 Main) | 1 |
1. Consider the following linear equations:
$$
\begin{aligned}
& a x+b y+c z=0 \\
& b x+c y+a z=0 \\
& c x+a y+b z=0
\end{aligned}
$$
Match the expressions/statements in column I with expressions/statements in column II
(IIT-JEE, 2007)
| Column I | Column II |
| :--- | :--- |
| a. $a+b+c \neq 0$ and $a^{2}+b^{2}$ <... | 1 |
5.164. Two identical imperfect polarizers are placed in the way of a natural beam of light. When the polarizers' planes are parallel, the system transmits $\eta=10.0$ times more light than in the case of crossed planes. Find the degree of polarization of light produced
(a) by each polarizer separately;
(b) by the who... | 1 |
What does "individualistic doer" mean? | 0 |
When did Britain pass the Charter Act? | 0 |
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