AIIMS Physics Class 11 Questions

If energy of electron in ground state is^{-13}.6 then find out speed of electron in fourth orbit of H⁻atom

The formula to calculate the equivalent spring constant is given by,

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?

15 eV is given to e⁻ in 4^{th} orbit then find it's final energy when it comes out of H⁻atom

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:

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.

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:

The expression for the coefficient of performance is, Coefficient of performance = Q₂ / (Q₁ - Q₂). Substitute 800 for Q₁ and 500 for Q₂ in above expression. Coefficient of performance = 500 / (800 - 500) = 5/3

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

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.

An electron is revolving in n = 3 orbit. What will be the magnetic field at the centre of hydrogen atom?

In the case of damped oscillation, the amplitude keeps on decreasing that implies the graph for V versus x is,

An electron is moving in a circle of radius 2 m with speed 4 m/s. Find the acceleration of the electron.

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:

An electron collides elastically with H⁻like atom and excites it from ground state to n = 3. Find out the energy transfer to H⁻like atom

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);

Consider the given expression. F = (100 - 0.5 × 10⁵ t) N Given that, F = 0 (100 - 0.5 × 10⁵ t) = 0 t = 100 / (0.5 × 10⁵) = 2 × 10⁻³ sec Calculate the impulse as, I = ∫ F dt = ∫ (100 - 0.5 × 10⁵ t) dt = [100t - (10⁵ t² / 2)] = [100(2 × 10⁻³) - (10⁵ (2 × 10⁻³)² / 2)] = 0.1 Ns

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

The initial velocity of the water stream is given as, \(v = \sqrt{2g(H⁻h)}\) The time taken by stream to hit the surface is, \(h = rac{1}{2}gt^2\) \(t = \sqrt{rac{2h}{g}}\) The horizontal range can be calculated as, Horizontal range = \(vt = \sqrt{2g(H⁻h)} imes \sqrt{rac{2h}{g}} = 2\sqrt{(H⁻h)h} = 2\sqrt{(1-0.25)(0.25)} = 0.866 ext{ m}\)

What is the dimension of Luminous flux:

Use energy method. 1/2 Kx² + 1/2 mv² + 1/2 Iω² = C 1/2 K(2x) dx/dt + 1/2 m(2v) dv/dt + 1/2 2v/r² dv/dt = 0 Kvx + m/4 va + m/2 va =⁰⁻Kx = 3ma/4 Simplify further.

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

The mean percentage error can be calculated as, MPE = \frac{1}{n} \sum \left( \frac{x - \bar{x}}{x} \right) \times 100\% The mean value of the errors is calculated as, \text{Mean of the errors} = \frac{80 + 80.5 + 81 + 81.5 + 82}{5} = 81 | x | x - \bar{x} | \frac{x - \bar{x}}{x} | |-----|------------|------------------| | 80.0 | 1.0 | 0.0125 | | 80.5 | 0.5 | 0.0062 | | 81.0 | 0 | 0 | | 81.5 | 0.5 | 0.0061 | | 82.0 | 1.0 | 0.0122 | Sum = 0.037

Find out the work done to expand the soap bubble to radius R = 5 cm (Surface tension of water = 0.1 N/m)

The efficiency of refrigerator is given by, η = (¹⁻ T₂/T₁). Substitute the values as, η = (¹⁻ (273 + 4)/(273 + 15)) = 11/288 = 0.0382

The expression of energy change in process is given by, ΔU = TΔA. Use volume conservation as, 2 × 4/3π(1)³ = 4/3πR³, R = 2^(1/3). Substitute the values in the energy expression as, ΔU = TΔA = (0.1) × 4π(1² - (2^(1/3))²) = 4π(0.41 × 10⁻⁶) J = 0.52 μJ

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?

An observer hears 3 beats/s when two sources A and B are sounded together. If the frequency of source A is 256 Hz, what is the speed of source B?

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

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:

If 7 gm N₂ is mixed with 20 gm Ar, there Cₚ/Cᵥ of mixture will be:

After the collision the fraction of energy lost by colliding body A is:

The formula for Boltzmann’s constant is given by, K = 1.38064852 \times 10^{-23} \frac{m^2 kg}{s^2 K} = \frac{ML^2}{T^2 \theta} = ML^2 T^{-2} \theta^{-1}

Consider the following figure.

The radius of electron in excited state is given by, r = r₀ (n²/Z) For the radius to be equal to radius of hydrogen atoms, r = r₀. Therefore, r₀ = r₀ (n²/Z) n = √Z = √4 = 2 Thus, at first excited state of Be³⁺ radius of e⁻ will be same as H atoms and electron in ground state.

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

If temperature of Sun = 6000 K, radius of Sun is 7.2×10⁵ Km, radius of Earth = 6000 Km & distance between earth and Sun = 15×10⁷ Km. Find intensity of light on Earth.

A conducting and closed container of capacity 100 liter contains an ideal gas at a high pressure. Now using a pump, the gas is taken out at a constant rate of 5 liter/sec. Find the time taken in which the pressure will decrease to \( \frac{P_{\text{initial}}}{100} \) ? (Assume isothermal condition)

Apply the equation of continuity. A₁V₁ = A₂V₂ 5² × 4 = 2² × V₂ V₂ = 25 Apply the energy equation at both the ends.

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

Assertion: Sometimes insects can walk on water. Reason: The gravitational force on insect is balanced by force due surface tension.

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

The time after which the energy will become half of initial maximum value in damped forced oscillation is calculated as, 1/√2 = e^(-bt/m) ln√2 = bt/m t = m/b × 1/2 ln 2

A particle moves from A to B to C as shown in the diagram. Calculate the work done if the force is conservative.

Kinetic energy can be increased or decreased without applying any external force, as internal force can do work. Example: explosion of bomb.

The coefficient of performance can be calculated as, COP = Q₁ / (Q₁ + Q₂) = T₂ / (T₁ - T₂) = 250 / (300 - 250) = 5