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

The magnetic induction along the axis of a toroidal solenoid is independent of ______.

A solenoid of 1.5 m length and 4 cm diameter possesses 20 turns per m. A current of 6 A is flowing through it. The magnetic induction at axis inside the solenoid is ____________.

The moment of inertia of a body initially at rest about a given axis is 1.2 kg m². On applying an acceleration of 25 rad/s², the time it will take to acquire a rotational kinetic energy of 1500 J is ____________.

A proton is projected with a uniform velocity 'v' along the axis of a current carrying solenoid, then ____________.

Out of 20 J of radiant energy incident on a surface, the energy absorbed by the surface is 4 J and the energy reflected is 8 J. Then, coefficient of transmission of the body is ____________.

The space within a current carrying toroid is filled with a m metal of susceptibility 16.5 x 10^-6. The percentage increase in the magnetic field B is ____________.

A rod of length 1 m and mass `1/2` kg rotates at an 2 angular speed of 6 rad s^-1 about one of its ends. The kinetic energy of the rod is ______.

Magnetic induction due to a toroid does not depend upon ______.

Three rings, each of mass P and radius Q, are arranged as shown in the figure. The moment of inertia of the arrangement about YY' will be ______.

The moment of inertia of a sphere is 20 kg-m² about the diameter. The moment of inertia about any tangent is ____________.

A particle of mass 'm' collides with another stationary particle of mass 'M'. A particle of mass 'm' stops just after collision. The coefficient of restitution is ______.

A wooden block of mass 'M' moves with velocity 'v ' and collides with another block of mass '4M' which is at rest. After collision, the block of mass 'M' comes to rest. The coefficient of restitution will be ______.

A block of mass 'm' moving along a straight line with constant velocity `3vec"v"` collides with another block of same mass at rest. They stick together and move with common velocity. The common velocity is ______.

A disc of mass 100 kg and radius 1 m is rotating at 300 rpm. The torque required to rotate the disc in opposite direction with same speed in time 50 second is ______.

A toroid is a long coil of wire wound over a circular core. If 'r' and 'R' are the radii of the coil and toroid respectively, the coefficient of self-induction of the toroid is (The magnetic field in it is uniform and R > > r) ____________.

(N = number of turns of the coil and µ₀ = permeability of free space)

Two discs having moment of inertia I₁ and I₂ are made from same material have same mass. Their thickness and radii are t₁, t_2, and R₁, R₂ respectively. The relation between moment of inertia of each disc about an axis passing through its centre and perpendicular to its plane and its thickness is ______.

The magnetic flux near the axis and inside the air core solenoid of length 60 cm carrying current 'I' is 1.57 × 10^-6 Wb. Its magnetic moment will be ______.

(cross-sectional area is very small as compared to length of solenoid, µ₀ = 4π × 10^-7 SI unit)

Magnetic field at the centre of a circular loop of area 'A' is 'B'. The magnetic moment of the loop will be (µ₀ = permeability of free space) ____________.

A thin uniform rod of length 'L' and mass 'M' is bent at the middle point 'O' at an angle of 45° as shown in the figure. The moment of inertia of the system about an axis passing through 'O' and perpendicular to the plane of the bent rod, is ______.

A fix number of spherical drops of a liquid of radius 'r' coalesce to form a large drop of radius 'R' and volume 'V'. If 'T' is the surface tension then energy ______.