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

The magnetic moment of a circular coil carrying current (I), having radius (r) and number of turns (n) is proportional to ____________.

The coefficient of mutual induction is 2 H and induced e.m.f. across secondary is 2 kV, Current in the primary is reduced from 6 A to 3 A. The time required for the change of current is ____________.

The potential energy of a particle executing S.H.M is 2.5 J, when its displacement is half of amplitude. The total energy of the particle is ______.

An A.C. voltage source of variable angular frequency `omega` and fixed amplitude V connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When `omega` is increased, ______.

Two springs of spring constants 'K' and '2K' are stretched by same force. If 'E₁' and 'E₂' are the potential energies stored in them respectively, then ______.

A particle starts from mean position and performs S.H.M. with period 6 second. At what time its kinetic energy is 50% of total energy?

`(cos45^circ=1/sqrt2)`

A thin, uniform metal rod of mass 'M' and length 'L' is swinging about a horizontal axis passing through its end. Its maximum angular velocity is 'ω'. Its centre of mass rises to a maximum height of ______.

(g =acceleration due to gravity)

Three circular concentric wires of radii a, 2a, and 3a are carrying currents 3I, 2I, and I respectively in the anticlockwise direction. The effective magnetic field at the common center is ____________.

A particle performs S.H.M. Its potential energies are 'U₁' and 'U₂' at displacements 'x₁' and 'x₂' respectively. At displacement (x₁ + x₂), its potential energy 'U' is ______.

A particle performs S.H.M. of period 24 s. Three second after passing through the mean position it acquires a velocity of 2 π m/s. Its path length is ______.

`(sin45^circ=cos45^circ=1/sqrt2)`

Two projectiles thrown at 30° and 45° with the horizontal respectively, reach the maximum height in same time. The ratio of their intial velocities is ______.

The velocity of a projectile at the initial point A is `(2 hat "i" + 3 hat "j")` m/s. Its velocity (in m/s) at point B is ______.

An electromagnetic wave passes through space and its equation is given by E = E₀ sin(ω - kx) where E is electric field. Energy density of electromagnetic wave in space is ______.

Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct?

A mass m is revolving in a vertical circle at the end of a string of length 20 cm. By how much does the tension of the string at the lowest point exceed the tension at the topmost point?

In vertical circular motion, the ratio of kinetic energy of a particle at highest point to that at lowest point is ______.

A projectile thrown from the ground has an initial speed u and its direction makes an angle θ with the horizontal. If at maximum height from the ground, the speed of the projectile is half its initial speed of projection, then the maximum height reached by the projectile is ______.

`["g = acceleration due to gravity", sin30^circ = cos60^circ = 0.5, cos30^circ = sin60^circ = sqrt3"/"2]`

A particle starts oscillating simple harmonically from its equilibrium position with time period T. At time t = T/12, the ratio of its kinetic energy to potential energy is ______.

`[sin  pi/3 = cos  pi/6 = sqrt3/2, sin  pi/6 = cos  pi/3 = 1/2]`

Two bodies A and B move in the same straight line starting from the same position. Body A moves with constant velocity u and B moves with constant acceleration a. When their velocities become equal, the distance between them is ______.

A projectile is projected with a velocity of `(3hati + 4hatj)` m/s. The horizontal range of the projectile will be ______.