AIIMS Physics Class 11 Questions

If radius of the earth is 6347 km, then what will be difference between acceleration of free fall and acceleration due to gravity near the earth's surface?

Time period of oscillation for given combination will be:

An oscillator circuit consists of an inductance of 0.5 mH and a capacitor of 20 μF. The resonant frequency of the circuit is nearly

Find the maximum tension in the spring if initially spring at its natural length when block is released from rest.

A body of mass 5×10³ kg moving with speed 2 m/s collides with a body of mass 15×10³ kg in elastically and sticks to it. Then loss in K.E. of the system will be:

A string wave equation is given y = 0.002sin(300t - 15x) and mass density is μ = 0.1 kg/m. Then find the tension in the string.

A disc of radius 5 m is rotating with angular frequency 10 rad/sec. A block of mass 2 kg to be put on the disc friction coefficient between disc and block is μₖ = 0.4, then find the maximum distance from axis where the block can be placed without sliding:

If speed of sound in air in 330 m/s then, find the number of tones present in an open organ pipe of length 1 m whose frequency if ≤ 1000.

For a refrigerator, heat absorbed from source is 800 J and heat supplied to sink is 500 J then the coefficient of performance is

In damped oscillation graph between velocity and position will be

Given $V_{\text{CM}} = 2 \text{ m/s}$, $m = 2 \text{ kg}$, $R = 4 \text{ m}$.

(A ring is shown in the x-y plane, rolling on the positive x-axis. Its center of mass is moving with velocity $v$ in the positive x-direction.)

Find angular momentum of ring about origin if it is in pure rolling.

A container of height 10 cm is filled with water. There is a hole at bottom. Find the pressure difference between points A & B:

Find the gravitational field at a distance of 2000 km from centre of earth. (Given Rₑₐᵣₜₕ = 6400 km, r = 2000 km, Mₑₐᵣₜₕ = 6 × 10²⁴ kg);

A gun applies a force $\text{F}$ on a bullet which is given by $\text{F} = \left(100 - 0.5 \times 10^5\text{t}\right)\text{N}$. The bullet emerges out with speed $400\text{ m/s}$. Then find out the impulse exerted till force on bullet becomes zero.

If a small orifice is made at a height of $0.25\text{ m}$ from the ground, the horizontal range of water stream will be,

Initially spring is in natural length and both blocks are in rest condition. Then determine the maximum extension in spring. k = 20 N/M

For the system given below, find the angular frequency of oscillation?

A Carnot engine works between 27°C and 127°C. Heat supplied by the source is 500 J. then heat ejected to the sink is

If sink and source temperature of a refrigerator are 4°C and 15°C respectively. Then efficiency of refrigerator is:

Two sources of sound S1 and S2 are moving towards and away from a stationary observer with the same speed respectively. Observer detects 3 beats per second. Find speed of source (approximately). Given, $\text{F1} = \text{F2} = 500\text{ Hz}$. speed of air $= 330\text{ m/s}$

Initially spring in its natural length now a block at mass 0.25 kg is released than find out maximum force by system on floor?

In an isothermal process 2 water drops of radius 1 mm are combined to form a bigger drop. Find the energy change in this process if $\text{T} = 0.1\text{ N/m}$

If 7 gm $\text{N}_2$ is mixed with 20 gm Ar, there $\text{C}_\text{p}/\text{C}_\text{v}$ of mixture will be:

The dimensional formula of Boltzmann's constant is:

A disc of radius 20 cm and mass half kg is rolling on an inclined plane. Find out friction force so that disc performs pure rolling.

In an Isobaric process, the work done by a di-atomic gas is 10J, the heat given to the gas will be

Determine the pressure difference in tube of non-uniform cross sectional area as shown in figure. $\Delta\text{P} = \ ?$

$d_1 = 5\text{ cm},\ \text{V}_1 = 4\text{ cm},\ d_2 = 2\text{ cm},\ \text{V}_2 = \ ?$

If radius of O₂ molecule = 40Å, T = 27°C and P = 1 atm. Find the time of relaxation.

An ideal gas initially at pressure 1 bar is being compressed from 30 m³ to 10 m³ volume and its temperature decreases from 320 K to 280 K. then find final pressure of gas

Distance between sun and Earth is 2×10⁸ km, temperature of sun 6000 K, radius of sun 7×10⁵ km. If emissivity of the earth is 0.6, find out the temperature of the earth in thermal equilibrium

$mx^2 - bx + k = 0$

Find time after which to the energy will become half of initial maximum value in damped force oscillation.

If one mole of an ideal gas goes through the process $\text{A} \rightarrow \text{B}$ and $\text{B} \rightarrow \text{C}$. Given that $\text{T}_\text{A} = 400\text{ K}$, and $\text{T}_\text{C} = 400\text{ K}$. If $\frac{\text{P}_\text{A}}{\text{P}_\text{B}} = \frac{1}{5}$, then find the heat supplied to the gas:

Assertion : Kinetic energy of a system can be increased or decreased without applying any external force on the system.

Reason : This is because $\text{K.E.} = \frac{1}{2}mv^2$, so it is independent of any external force.

Determine coefficient of performance of given temperature limit.

$T_1 = 27^\circ\text{C}\ \text{[outside fridge]}$

$T_2 = -23^\circ\text{C}\ \text{[inside fridge]}$

Assertion: $_{1}^{3}\text{H}$ isotope does not undergo fusion of the type $_{1}^{3}\text{H} + _{1}^{2}\text{H} \rightarrow$ as it is rarely found in nature.

Reason: $_{1}^{3}\text{H}$ has half life of $\approx 12$ years.

A liquid enter at point $\text{A}_1$ with speed 3.5 m/s and leaves at point $\text{A}_2$. Then find out the height attained by the liquid above point $\text{A}_2$.

Assertion: V$_{rms}$ and V$_{mean}$ of gaseous molecules is nearly of the order of velocity of sound.

Reason: The sound travels in air because of vibrational molecular motion.

Assertion : Water drop stick to glass surface.

Reason : Water has properties of surface tension.

If potential energy is given by

$U = \frac{a}{r^2} - \frac{b}{r}$

Then find out maximum force. (Given $\text{a} = 2, \text{b} = 4$).

In Maxwell’s speed distribution curve, for N₂ gas, the average of |relative velocity| between two molecules at 300 K will be

Find $\gamma$ for the mixture of $11\text{ gmCO}_2$ and $14\text{ gmN}_2$?

$\text{N}_2$ gas is heated from 300 K temperature to 600 K through an isobaric process. Then find the change in entropy of the gas. (n=1mole)

Assertion : Coefficient of performance in refrigerator may be greater than one.

Reason : Heat extracted from lower temperature reservoir.

A planet has same density as that of earth and universal gravitational constant $G$ is twice that of earth, the ratio of acceleration due to gravity, is.

The compressibility of water is $6 \times 10^{-11}\text{ N}^{-1}\text{m}^2$. If one litre is subjected to a pressure of $4 \times 10^7\text{ Nm}^{-2}$ the decrease in its volume is

Find ratio of acceleration and angular acceleration of com? If for the below diagram $\text{m} = 2\text{ kg}$ and $\text{r} = 10\text{ cm}$

A cricketer can throw a ball to a maximum horizontal distance of 100 m. The speed with which he throws the ball is (to the nearest integer)

Three liquids of equal masses are taken in three identical cubical vessels $A$, $B$ and $C$. Their densities are $\rho_A, \rho_B$ and $\rho_C$. The force exerted by the liquid on the base of the cubical vessel is

A 2 m long rod of radius 1 cm which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be

Two simple harmonic motions are represented by the equations $x_1 = 5\sin\left(2\pi t + \frac{\pi}{4}\right), x_2 = 5\sqrt{2}(\sin \pi t + \cos 2\pi t)$. The ratio of the amplitude of $x_1$ and $x_2$ is