MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

A particle is performing a uniform circular motion along a circle of radius R. In half the period of revolution, its displacement and distance covered are respectively.

A horizontal circular platform of mass M is rotating at angular velocity ω about a vertical axis passing through its centre. A boy of mass m is standing at the edge of the platform. If the boy comes to the centre of the platform, then the new angular velocity becomes ______.

A wheel is rotating at 900 rpm about its axis. When the power is cut off it comes to rest in 1 min. The angular retardation (assumed to be uniform (in rad s^-1) is ______.

Two bodies of masses 10 kg and 5 kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal accelerations is ______.

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω. Another disc of same dimensions, but of mass `1/4`M is placed gently on the first disc co-axially. The. angular velocity of the system is ______.

The excess of pressure inside the first soap bubble is three times that inside the second bubble. The ratio of volume of the first to second bubble is ______.

The acceleration of a point on the rim of a flywheel 1 m in diameter, if it makes 1200 rpm is ______.

A fully charged capacitor C with initial charge q₀​ is connected to a coil of self-inductance L at t = 0. The time at which the energy is stored equally between the electric and magnetic fields is ______.

A wheel is Subjected to uniform angular acceleration about its axis. Initially. its angular velocity is zero. In the first 2 s, it rotates through an angle θ₁, in the next 2 s, it rotates through an angle θ₂. The ratio of `theta_2/theta_1` is ______.

The electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius 10 cm surrounding the total charge is 20 V-m. The flux over a concentric sphere of radius 20 cm will be ______.

A body of mass m is moving in circle of radius r with a constant speed v. The work done by the centripetal force in moving the body over half the circumference of the circle is ______.

Excess of pressure inside a soap bubble is ______.

The kinetic energy K of a particle moving along a circle of radius R depends on the distance covered s as K = as², where a is a constant. The force acting on the particle is ______.

If numerical aperture of a microscope is increased, then its ______.

An electron(e) is revolving in a circular orbit of radius r in the hydrogen atom. The angular momentum of the electron is (M = magnetic dipole moment associated with it and m = mass of electron)

A light wave of wavelength λ is incident on a slit of width d. The resulting diffraction pattern is observed on a screen at a distance D. If linear width of the principal maxima is equal to the width of the slit, then the distance D is

There are four convex lenses L₁, L₂, L₃ and L₄ of focal length 2, 4, 6 and 8 cm, respectively. Two of these lenses from a telescope of length 10 cm and magnifying power 4. The objective and eye lenses are respectively

At absolute zero temperature, pure silicon behaves as ______.

When the observer moves towards the stationary source with velocity, 'V₁', the apparent frequency of the emitted note is 'F₁'. When the observer moves away from the source with velocity 'V₁', the apparent frequency is 'F₂'. If 'V' is the velocity of sound in air and `"F"_1/"F"_2 = 4` then `"V"/"V"_1 = ?`

If two tuning forks A and B are sounded together, they produce 4 beats per second. When A is slightly loaded with wax, they produce 2 beats when sounded again. The frequency of A is 256 Hz. The frequency of B will be ______