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

Two current-carrying coils have radii r and 4r and have same magnetic induction at their centres. The ratio of voltage applied across them is ______.

A flywheel of mass 20 kg and radius 5 cm is revolving at a speed of 300 rpm. Its kinetic energy is ______.

If I₁ is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass and I₂ is the moment of inertia of the ring formed by bending the rod about an axis perpendicular to the plane, the ratio of I₁ and I₂ is ____________.

A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 m/s, The kinetic energy of mass 6 kg is ____________.

Heat energy is incident on the surface at the rate of 2000 J/min. If coefficient of absorption is 0.8 and coefficient of reflection is 0.1 then heat energy transmitted by the surface in 10 minutes is ____________.

Two toroids 1 and 2 have total number of turns 400 and 200 respectively with average radii 40 cm and 20 cm respectively. If they carry same current I, the ratio of the magnetic fields along the two loops is, ____________.

Moment of inertia of earth about its axis of rotation is ____________.

If a million tiny droplets of water of the same radius coalesce into one larger drop, then the ratio of the surface energy of the large drop to the total surface energy of all the droplets will be ____________.

A 600 turn coil of effective area 0.05 m² is kept perpendicular to a magnetic field 4 x 10^-5 T. When the plane of the coil is rotated by 90° around any of its coplanar axis in 0.1 s, the e.m.f. induced in the coil will be: ____________.

In inelastic collision, ____________.

In damped SHM, the SI unit of damping constant is ______.

On the surface of the liquid in equilibrium, molecules of the liquid possess ____________.

A mass M moving with velocity 'v' along x-axis collides and sticks to another mass 2M which is moving along Y-axis with velocity 3v. After collision, the velocity of the combination is ______.

Consider a process shown in the figure. During this process, the work done by the system ______.

From a disc of mass 'M' and radius 'R', a circular hole of diameter 'R' is cut whose rim passes through the center. The moment of inertia of the remaining part of the ruse about perpendicular axis passing through the center is ______.

Absorption coefficient of totally blackbody is ______.

A cord is wound round the circumference of a wheel of radius 'r'. The axis of the wheel is horizontal and moment of inertia about it is T. A block of mass 'm' is attached to free end of the cord, initially at rest. When the wheel rotates and the block moves vertically downwards through distance 'h', the angular velocity of the wheel will be ______.
(Neglect the mass of cord, g =acceleration due to gravity)

In a damped oscillatory motion, if 'T' is its time period and 'A' is its amplitude, then damping ______.

A block of mass 'M' is suspended from one end of a spring of force constant 'k'. The other end is rigidly attached to a horizontal platform. The mass oscillates vertically with a time period 'T'. If the mass gets detached from the spring, then the length of the spring will be shortened by (g = acceleration due to gravity).

A mass 'M' is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes S.H.M. of period T. If the mass is increased by 'm', the time period becomes `("'5T'")/3`. What is the ratio `("M"/"m")`?