AIPMT Mains Physics Class 11 Questions

The dimensions of (μ₀ε₀)⁻¹/² are :

A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by :

A car of mass m is moving on a level circular track of radius R. If μₛ represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by :

A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P₀. The instantaneous velocity of this car is proportional to :

A circular platform is mounted on a frictionless vertical axle. Its radius R = 2m and its moment of inertia about the axle is 200 kgm². It is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1ms⁻¹ relative to the ground. Time taken by the man to complete one revolution is:

The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through:

Three masses are placed on the x-axis: 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is:

If vₑ is escape velocity and v₀ is orbital velocity of a satellite for orbit close to the earth’s surface, then these are related by:

Which one of the following plots represents the variation of gravitational field on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell)

A slab of stone of area 0.36 m² and thickness 0.1 m is exposed on the lower surface to steam at 100°C. A block of ice at 0°C rests on the upper surface of the slab. In one hour 4.8 kg of ice is melted. The thermal conductivity of slab is: (Given latent heat of fusion of ice = 3.36 × 10⁵ J kg⁻¹)

An ideal gas goes from state A to state B via three different processes as indicated in the P⁻V diagram: If Q₁, Q₂, Q₃ indicate the heat a absorbed by the gas along the three processes and ΔU₁, ΔU₂, ΔU₃ indicate the change in internal energy along the three processes respectively, then

The equation of a simple harmonic wave is given by y = 3 sin(π/2 (50t - x)). Where x and y are in meters and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

A train moving at a speed of 220 ms⁻¹ towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the train is: (speed of sound in air is 330 ms⁻¹)

Equal volumes of two monoatomic gases, A and B, at same temperature and pressure are mixed. The ratio of specific heats $\left( \frac{C_p}{C_v} \right)$ of the mixture will be:

A particle covers half of its total distance with speed v₁ and the rest half distance with speed v₂. Its average speed during the complete journey is

A thermocouple of negligible resistance produces an e.m.f. of 40 μV/°C in the linear range of temperature. A galvanometer of resistance 10 Ω whose sensitivity is 1 μA/div, is employed with the thermocouple. The smallest value of temperature difference that can be detected by the system will be

A mass m moving horizontally (along the x-axis) with velocity v collides and sticks to a mass of 3m moving vertically upward (along the y-axis) with velocity 2v. The final velocity of the combination is

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre, will be

Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is

A conveyor belt is moving at a constant speed of 2 m/s. A box is gently dropped on it. The coefficient of friction between them is μ = 0.5. The distance that the box will move relative to belt before coming to rest on it, taking g = 10 m/s², is

A mass of diatomic gas (γ = 1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27°C to 927°C. The pressure of the gas in the final state is

Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be

A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will

A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is

A projectile is fired at an angle of 45° with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is

The density of a material in CGS system of units is 4 g/cm³. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be

A bubble of air is underwater at temperature 15°C and the pressure 1.5 bar. If the bubble rises to the surface where the temperature is 25°C and the pressure is 1.0 bar what will happen to the volume of the bubble?

Consider the following process

ΔH(kJ/mol)

1/2 Å → B + 150 3B → 2C + $D^{-125}$ E + A → 2D + 350

For B + D → E + 2C, ΔH will be

What is the value of electron gain enthalpy of Na⁺ if IE₁ of Na = 5.1 eV?

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate $g$, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are $e_1$ and $e_2$ respectively, the percentage error in the estimation of $g$ is

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R₁ to another of radius R₂ (R₂ > R₁) is

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

From a circular disc of radius R and mass 9M, a small disc of mass M and radius R/3 is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is

A particle moves in x-y plane according to rule x = a sin ωt and y = a cos ωt. The particle follows

If Cₚ and Cᵥ denote the specific heats (per unit mass) of an ideal gas of molecular weight M

The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below. The correct figure is

A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down without slipping. Which one will reach the bottom first?

The thermo e.m.f. E in volts of a certain thermo-couple is found to vary with temperature difference θ in °C between the two junctions according to the relation E =³⁰⁰⁻ θ²/15. The neutral temperature for the thermo-couple will be

(a) Centre of gravity (C.G.) of a body is the point at which the weight of the body acts.

(b) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.

(c) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.

(d) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis. Which one of the following pairs of statements is correct?

A particle of mass M starting from rest undergoes uniform acceleration. If the speed acquired in time T is V, the power delivered to the particle is

A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity ω. Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by

A monoatomic gas at pressure P₁ and V₁ is compressed adiabatically to 1/8ᵗʰ its original volume. What is the final pressure of the gas?

Match List-I (Equations) with List-II (Type of process) and select the correct option

Three moles of an ideal gas expanded spontaneously into vacuum. The work done will be

For vaporization of water at 1 atmospheric pressure, the values of ΔH and ΔS are 40.63 kJ mol⁻¹ and 108.8 J K⁻¹ mol⁻¹, respectively. The temperature when Gibbs energy change (ΔG) for this transformation will be zero, is

The following two reactions are known: Fe₂O₃(s) + 3CO(g) → 2Fe(s) + 3CO₂(g); ΔH = −26.8 kJ FeO(s) + CO(g) → Fe(s) + CO₂(g); ΔH = −16.5 kJ The value of ΔH for the following reaction Fe₂O₃(s) + CO(g) → 2FeO(s) + CO₂(g) is

A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity. If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity:

In thermodynamic processes which of the following statements is not true?

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of pendulum at x = a/2 will be:

A body, under the action of a force $\vec{F} = 6 \hat{i} - 8 \hat{j} + 10 \hat{k}$, requires an acceleration of 1 m/s². The mass of this body must be: