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

The velocity of light in glass is 2 x 10⁸ m/s. If the refractive index of glass with respect to water is 9/8, then the velocity of light in water is ______

The molecular weights of oxygen and hydrogen are 32 and 2 respectively. The root mean square velocities of oxygen and hydrogen at N.T.P. are in the ratio ______

When a simple harmonic progressive wave is travelling through a medium, then each succeeding particle ______

The total energy of the body executing S.H.M. is E. The kinetic energy of the body, when the displacement is half of the amplitude is ______.

The root mean square velocity of molecules of a gas is 200 m/s. What will be the root mean square velocity of the molecules, if the molecular weight is doubled and the absolute temperature is halved?

Two cells having unknown emfs E₁ and E₂ (E₁ > E₂) are connected in potentiometer circuit, so as to assist each other. The null point obtained is at 490 cm from the higher potential end. When cell E₂ is connected, so as to oppose cell E₁, the null point is obtained at 90 cm from the same end. The ratio of the emfs of two cells `("E"_1/"E"_2)` is ______.

A 10 m long wire of resistance 20 Q is connected in series with a battery of emf 3 V and a resistance of 10 Ω. The potential gradient along the wire in V/m is ________.

A ray of light is incident at an angle i on one face of a thin angled prism. The ray emerges normally from the other face. Refractive index of the glass prims is n and angle of prism is A. The value of i is ______.

Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, I = 5 sin 200 πt. The maximum value of emf induced in the second coil is ________.

The equation of simple harmonic progressive wave is given by Y = a sin 2π  (bt - cx). The maximum particle velocity will be twice the wave velocity if ______.

A thin hollow prism of refracting angle 3°, filled with water gives a deviation of 1°. The refractive index of water is ______.

When a mass is hung from a light spring, the spring extends by 10 cm. If the mass is pulled down and let go, it executes S.H.M. with a time period (g = 10 m/s²) ____________.

A particle is executing S.H.M. with amplitude of 4 cm and time period 12 s. The time taken by the particle in going from its mean position to a position of displacement equal to 2 cm is T₁ The time taken from this displaced position of 2 cm to reach the extreme position is T₂. T₁/ T₂ will be____________.

To what temperature should hydrogen at 227° C be cooled at constant pressure so that root mean square velocity of its molecule becomes half of its previous value?

Two travelling waves, y₁ = A sin [k (x + ct)] and y₂ = A sin [k (x - ct)] are superposed on a string. The distance between adjacent nodes is ____________.

A stretched string fixed at both ends has 'rrl nodes, then the length of the string will be ______.

When light enters glass from vacuum, then the wavelength of llght ______.

A glass tube is open at both ends. A tuning fork of frequency f resonates with the air column inside the tube. Now the tube is placed vertically inside water so that half the length of the tube is filled with water. Now that air column inside the tube is in unison with another fork of frequency f, ____________.

A simple harmonic progressive wave is represented as y = 0.03 sin π(2t - 0.01x) m. At a given instant of time, the phase difference between two particles 25 m apart is ______.

If 'x', 'v' and 'a' denote the displacement, velocity and acceleration of a particle respectively executing SHM of periodic time t, then which one of the following does not change with time?