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

A rod of length 'L' is hung from its one end and a mass 'm' is attached to its free end. What tangential velocity must be imparted to 'm'. so that it reaches the top of the vertical circle? (g = acceleration due to gravity)

A ferris wheel with radius 20 m makes 1 revolution in every 10 s. The force exerted by the passenger of weight 55 kg on the seat, when he is at the top of the ferris wheel, is ____________.

The ratio of kinetic energy to the potential energy of a particle executing S.H.M. at a distance equal to (1/3)rd of its amplitude is ______.

For the knee voltage of a diode, which of the following is incorrect?

The velocity of a projectile at the initial point A is `(5 hat "i" + 2 hat "j")` m/s. Its velocity (in m/s) at point B is ____________.

A body of mass 0.5 kg is rotating in a vertical circle of radius 2 m. What will be the difference in its kinetic energy at the top and bottom of the circle? (Take g = 9.8 m/s²)

When forward bias is applied to a p-n junction, then what happens to the potential banier V_B and the width of charge depleted region X?

Same current is flowing in two a.c. circuits. First contains only inductance and second contains only capacitance. If frequency of a.c. is increased for both, the current will ______.

If time of flight of a projectile is 20 seconds. Range is 250 metre. The maximum height attained by it will be ____________.

A particle is moving along the circular path of radius 'r' with velocity 'v'. The magnitude of average acceleration after half revolution is ______.

The kinetic energy of a particle performing S.H.M. is `1/n` times its potential energy. If the amplitude of S.H.M. is 'A', then the displacement of the particle will be ______ 

A body oscillates simply harmonically with a period of 2 seconds, starting from the origin. Its kinetic energy will be 75% of the total energy after time ______

`(sin30^circ = cos60^circ = 1/2)`

A particle starting from the mean position performs linear S.H.M. Its amplitude is 'A' and total energy is 'E'. At what displacement its kinetic energy is 3E/4?

A particle of mass 'm' is rotating in a horizontal circle of radius 'r' with unifom1 velocity `vec"V"`. The change in its momentum at two diametrically opposite points will be ______.

A particle is performing vertical circular motion. The difference in tension at lowest and highest point is ______.

A sphere of mass 'M' is attached to one end of a metal wire having length 'L' and diameter 'D'. It is whirled in a vertical circle of radius R with angular velocity 'ω'. When the sphere is at lowest point of its path, the elongation of the wire is ______.

(Y= Young's modulus of the material of the wire, g =acceleration due to gravity)

A simple pendulum of length 'L' has mass 'm' and it oscillates freely with amplitude 'A'. At the extreme position, its potential energy is ______ 

(g = acceleration due to gravity)

If the length of an oscillating simple pendulum is made `1/3` times at a place keeping amplitude the same, then its total energy (E) will be ______ 

The total energy of a particle performing S.H.M. is 'NOT' proportional to ______ 

A stone is tied at the end of a rope of length 1 m and whirled in a vertical circle. The ratio of velocity at highest point to lowest point will be ______.