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

The displacement of a particle in S.H.M. is x = A cos `(omegat+pi/6).` Its speed will be maximum at time ______.

The ground state energy of the hydrogen atom is -13.6 eV. The kinetic and potential energy of the electron in the second excited state is respectively ______ 

The displacements of two particles executing simple harmonic motion are represented as y₁ = 2 sin (10t + θ) and y₂ = 3 cos 10t. The phase difference between the velocities of these waves is ______.

A body perform linear simple harmonic motion of amplitude 'A'. At what displacement from the mean position, the potential energy of the body is one fourth of its total energy?

A wire of length 50 cm moves with a velocity of 300 m/min, perpendicular to a magnetic field. If the e.m.f. induced in the wire is 2 V, the magnitude of the field in tesla is ______.

Two identical thin metal plates has charge q₁ and q₂ respectively such that q₁ > q₂. The plates were brought close to each other to form a parallel plate capacitor of capacitance C. The potential difference between them is ______.

The momentum of an electron revolving in n^th orbit is given by ______.

Two cells of same emf but different internal resistances r₁ and r₂ are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is ______.

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 ______.

If you are provided a set of resistances 2Ω, 4Ω, 6Ω and 8Ω. Connect these resistances so as to obtain an equivalent resistance of `46/3`Ω.

A central particle M is surrounded by a square array of other particles, separated by either distanced or distance d/2 along the perimeter o the square. The magnitude of the gravitational force on the central particle due to the other particles 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 ______.

The moment of inertia of a circular disc of mass M and radius R about an axis passing through the centre of mass is I₀. The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is ______.

The moon has a mass of 1/81 that of the earth and a radius of 1/4 that of the earth. The escape speed from the surface of the earth is 11.2 km/s. The escape speed from the surface of the moon is ______.

In an experiment, 200 V A.C. is applied at the ends of an LCR circuit. The circuit consists of an inductive reactance (X_L) = 50 Ω, capacitive reactance (X_C) = 50 Ω and ohmic resistance (R) = 10 Ω. The impedance of the circuit is ______.

For a given photosensitive material and frequency (> threshold frequency) of incident radiation, the photoelectric current varies with the intensity of incident light as:

A cell of internal resistance r is connected across an external resistance nr. Then the ratio of the terminal voltage to the emf of the cell is ______.

A pure semiconductor has equal electron and hole concentration of 10¹⁶ m^-3. Doping by indium increases nh to 5 × 10²² m^-3. Then, the value of n_e in the doped semiconductor is ______.

A long straight wire in the horizontal plane carries a current of 75 A in north of south direction, magnitude and direction of field B at a point 3 m east of the wire is ______.

A transverse wave is represented by y = A sin (ωt - kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?