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

An ammeter of resistance R gives a full-scale deflection when a current of 2 A passes through it. If it is measured with a maximum current of 10 A, the required shunt is ______.

A simple pendulum with a bob of mass m and conducting wire of length L swings under gravity through an angle θ. The component of the earth's magnetic field in the direction perpendicular to the swing is B. Maximum emf induced across the pendulum is ______.

(g = acceleration due to gravity)

The increase in internal energy of 1 kg of water at 100°c when it is converted into steam at the same temperature and at 1 atmospheric pressure will be ______.

(density of steam is 0.6 kg m^-3, latent heat of vaporisation of water = 2.25 × 10⁶ J kg^-1).

In figure, a particle is placed at the highest point A of a smooth sphere of radius r. It is given slight push and it leaves the sphere at B, at a depth h vertically below A, such that h is equal to ______.

A spring of force constant of 400 N/m is loaded with a mass of 0.25 kg. The amplitude of oscillations is 4 cm. When mass comes to the equilibrium position. Its velocity is ______.

A particle of mass 5 kg moves in a circle of radius 20 cm. Its linear speed at a time t is given by v = 4t, t is in the second and v is in ms^-1. Find the net force acting on the particle at t = 0.5 s.

The displacement of a particle of mass 3 g executing simple harmonic motion is given by Y = 3 sin (0.2 t) in SI units. The kinetic energy of the particle at a point which is at a distance equal to `1/3`​ of its amplitude from its mean position is ______.

A body of mass 0.5 kg travels in a straight line with velocity v = ax^3/2 where a = 5 m^–1/2s^–1. The change in kinetic energy during its displacement from x = 0 to x = 2 m is ______.

If a gas is compressed adiabatically:

A semicircular wire of radius a having λ as charge per unit length is shown in the figure. Find the electric potential at the centre of the semicircular wire. 

In the given figure, a = 15 m/s² represents the total acceleration of a particle moving in the clockwise direction on a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is ______.

Two wires of different materials have same length L and same diameter d. The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force F to produce the elongation l. The two wires have ______.

When wavelength of light used in optic I instruments A and Bare 4500 Å and 6000 Å respectively, the ratio of resolving pow of A to B will be ______.

Which of the following instruments is not a direct reading instrument?

Refractive index of the medium isµ and wavelength is λ, then which of the following proportionality relation is correct?

Two parallel SHMs have equations y₁ = a₁ sin(ωt + 2π) and y₂ = a₂ sin(ωt + 4π). The amplitude of the resultant is ______

In a p-type semiconductor, the acceptor impurity produces an energy level ______

The number of molecules in 100 cc of gas at N.T.P. is ______ if the mass of each molecule is 4.556 x 10^-25 kg and R.M.S. speed is 250 m/s. 

In amplitude modulation,

A potentiometer wire is 4m long and potential difference of 3V is maintained between the ends. The emf of the cell, which balances against a length of 100 cm of the potentiometer wire is ____________.