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

The range of a projectile, when launched at an angle of 30° with the horizontal is 2 km. What is the range of the projectile, when launched at an angle of 45° with the horizontal?

Two circular loop A and B of radii Rand NR respectively are made from a uniform wire. Moment of inertia of B about its axis is 3 times that of A about its axis. The value of N is ______.

The quantity which does not vary periodically for a particle performing SHM is ______.

A solar cell is based on the principle of ______

The equiconvex lens has a focal length 'f'. If the lens is cut along the line perpendicular to the principal axis and passing through the pole, what will be the focal length of any half part?

A scooter going towards east at 20 ms^-1 turns right through an angle of 90°. lf the speed of the scooter remains unchanged in taking turn, the change in the velocity of the scooter is ____________.

The maximum and minimum tensions in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5 : 3. Then its velocity is ____________.

The frequency of oscillation of a particle of mass m suspended at the end of a vertical spring having a spring constant k is directly proportional to ____________.

The speed of swimmer in still water is 10 m/s. The speed of river water is 5 m/s and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes w.r.t. north is given by: ____________.

An electric current has both D.C. and A.C. components. D.C. component of 8 A and A.C. component is given as I = 6 sin`omega`t A. So I_rms value of resultant current is ______.

A circular coil carrying current 'I' has radius 'R' and magnetic field at the centre is 'B'. At what distance from the centre along the axis of the same coil, the magnetic field will be `"B"/64`?

Consider a uniform semicircular wire of mass M and radius R as shown in the figure. Its M.I. about an axis ZZ' is ____________.

The kinetic energy of a particle, executing SHM is 16 J, when it is in its mean position. If the amplitude of oscillation is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillation is ____________.

A body executing SHM has amplitude of 4 cm. What is the distance at which the body has equal value of both K.E. and P.E.?

A particle is given an initial speed u inside a smooth spherical shell of radius R = 1 m so that it is just able to complete the circle. Acceleration of the particle when it is in vertical circle is ____________.

The displacement of a particle performing S.H.M. is given by x = 10 sin (`omega"t"+ alpha`) metre. If the displacement of the particle is 5 m, then the phase of S.H.M. is ____________.

Consider a particle of mass m suspended by a string at the equator. Let R and M denote radius and mass of the earth. If ω is the angular velocity of rotation of the earth about its own axis, then the tension on the string will be (cos 0° = 1).

Magnetic induction produced at the centre of a circular loop carrying current is 'B'. The magnetic moment of the loop of radius 'R' is (µ₀ = permeability of free space) ____________.

The total energy of a simple harmonic oscillator is proportional to ______.

A body is just revolved in a vertical circle of radius 'R'. When the body is at highest point, the string breaks. The horizontal distance covered by the body after the string breaks is ______.