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

The displacement of a particle from its mean position (in metre) is given by, y = 0.2 sin(10 πt + 1.5π) cos(10 πt + 1.5π).

The motion of particle is ____________.

An ideal gas is compressed at a constant temperature. Its internal energy will ____________.

In U.C.M., when time interval δt → 0, the angle between change in velocity (δv) and linear velocity (v) will be ______.

A wheel of M.I. 50 kg m² starts rotating on applying a constant torque of 200 Nm. Its angular velocity after 2.5 second from the start is ______.

In a thermodynamic system, working substance is ideal gas. Its internal energy is in the form of ______.

8 m³ of a gas is heated at the pressure 10⁵ N/m² until its volume increases by 10%. Then, the external work done by the gas is ____________.

A cycle wheel of radius 0.6 m is rotated with constant angular velocity of 15 rad/s in a region of magnetic field of 0.2 T which is perpendicular to the plane of the wheel. The e.m.f generated between its center and the rim is, ____________.

When 1 g of water at 0° C and 1 x 10⁵ N/m² pressure is converted into ice of volume 1.082 cm³, the external work done will be ____________.

A particle is moving along a circular path of radius 6 m with a uniform speed of 8 m/s. The average acceleration when the particle completes one-half of the revolution is ______.

A conducting square loop of side l and resistance R moves in its plane with a uniform velocity v perpendicular to one of its side. A magnetic induction B constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere. The current induced in the loop is ______.

A body performing a simple harmonic motion has potential energy 'P₁' at displacement 'x₁' Its potential energy is 'P₂' at displacement 'x₂'. The potential energy 'P' at displacement (x₁ + x₂) is ________.

The relation between time and displacement for two particles is given by Y₁ = 0.06 sin 27`pi` (0.04t + `phi_1`), y2 = 0.03sin 27`pi`(0.04t +  `phi_2`). The ratio of the intensity of the waves produced by the vibrations of the two particles will be ______.

Two samples A and B, of a gas at the same initial temperature and pressure are compressed from volume V to V/2; A isothermally and B adiabatically. The final pressure of A will be ______.

Let n_h and n_e be the number of holes and conduction electrons respectively in a semiconductor. Then ______.

A horizontal rod of mass 20 g and length 40 cm is placed on a smooth plane inclined at an angle of 60° with the horizontal, with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field of induction B is applied vertically downwards. If the current through the rod is 1.73 ampere, then the value of B for which the rod remains stationary on the inclined plane is ____________.

The phase difference between the instantaneous velocity and acceleration of a particle executing S.H.M is ____________.

If 'α' and 'β' are the maximum velocity and maximum acceleration respectively, of a particle performing linear simple harmonic motion, then the path length of the particle is _______.

The two waves are represented by Y₁ = `10-2 sin [50"t" + x/25 + 0.3]`m and Y₂ = `10^-2 cos [50"t" + x/25]`m where x is in metre and time in second. The phase difference between the two waves is nearly _________.

The susceptibility of a magnetic material is positive and small. The material is ______.

The magnetic susceptibility of a paramagnetic material at - 73 °C is 0.0075. Its value at -173 °C will be ______.