List of practice Questions

A person climbs up a conveyor belt with a constant acceleration. The speed of the belt is $ \sqrt{\frac{g h}{6}} $ and the coefficient of friction is $ \frac{5}{3\sqrt{3}} $. The time taken by the person to reach from A to B with maximum possible acceleration is:

A light body of momentum $ P_L $ and a heavy body of momentum $ P_H $, both have the same kinetic energy, then:

The maximum height attained by the projectile is increased by 10% by keeping the angle of projection constant. What is the percentage increase in the time of flight?

The acceleration of a particle which moves along the positive $ x $-axis varies with its position as shown in the figure. If the velocity of the particle is $ 0.8 \, \text{m/s} $ at $ x = 0 $, then its velocity at $ x = 1.4 \, \text{m} $ is:

The velocity of a particle is given by the equation $ v(x) = 3x^2 - 4x $, where $ x $ is the distance covered by the particle. The expression for its acceleration is:

The length of the side of a cube is $ 1.2 \times 10^{-2} $ m. Its volume up to correct significant figures is:

The acceptor level of a p-type semiconductor is $ 6 $ eV. The maximum wavelength of light which can create a hole would be: Given $ hc = 1242 $ eV nm.

When light is incident on a metal surface, the maximum kinetic energy of emitted electrons:

Which of the following transitions of He$^+$ ion will give rise to a spectral line that has the same wavelength as the spectral line in a hydrogen atom?

A charge of 10 coulomb is brought from infinity to a point $ P $ near a charged body and in this process 200 joules of work is done. Electric potential at point $ P $ is:

The ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Lyman series for the hydrogen atom is:

The atomic mass of $^{6}C^{12}$ is 12.000000 u and that of ${}^{6}C^{13}$ is 13.003354 u. The required energy to remove a neutron from ${}^{6}C^{13}$, if the mass of the neutron is 1.008665 u, will be:

The nucleus having highest binding energy per nucleon is:

Identify the correct output signal $ Y $ in the given combination of gates for the given inputs $ A $ and $ B $ shown in the figure.

Identify the logic gate given in the circuit:

A reverse biased zener diode when operated in the breakdown region works as:

Identify the logic operation performed by the following circuit.

One main scale division of a vernier caliper is equal to $ m $ units. If the $ m $ divisions of the main scale coincide with the $ (n + 1)^{\text{th}} $ division of the vernier scale, the least count of the vernier caliper is:

Suppose $ \theta_1 $ and $ \theta_2 $ are such that $ (\theta_1 - \theta_2) $ lies in the 3rd or 4th quadrant. If \[ \sin\theta_1 + \sin\theta_2 = \frac{21}{65} \quad \text{and} \quad \cos\theta_1 + \cos\theta_2 = \frac{27}{65} \] then \[ \cos\left(\frac{\theta_1 - \theta_2}{2}\right) = \]

A test containing 3 objective type of questions is conducted in a class. Each question has 4 options and only one option is the correct answer. No two students of the class have answered identically and no student has written all correct answers. If every student has attempted all the questions, then the maximum possible number of students who have written the test is:

In the expansion of $ \frac{2x+1}{(1+x)(1-2x)} $, the sum of the coefficients of the first 5 odd powers of $ x $ is:

'कल' का अनेकार्थक शब्द है-
(a) बीता हुआ कल (दिन)
(b) आने वाला दिन
(c) चैन
(d) मशीन

The number of ways a committee of 8 members can be formed from a group of 10 men and 8 women such that the committee contains at most 5 men and at least 5 women is:

The range of the real valued function $ f(x) =$ $\sin^{-1} \left( \frac{1 + x^2}{2x} \right)$ $+ \cos^{-1} \left( \frac{2x}{1 + x^2} \right)$ is:

There were two women participating with some men in a chess tournament. Each participant played two games with the other. The number of games that the men played among themselves is 66 more than the number of games the men played with the women. Then the total number of participants in the tournament is: