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

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 ____________.

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 ______.