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

A flat curved road on highway has radius of curvature 400 m. A car rounds the curve at a speed of 24 m/s. The minimum value of coefficient of friction to prevent car from sliding is ______.

(take g = 10 m/s²)

A particle rotates in horizontal circle of radius ‘R’ in a conical funnel, with speed ‘V’. The inner surface of the funnel is smooth. The height of the plane of the circle from the vertex of the funnel is ______.

(g = acceleration due to gravity)

A particle executes uniform circular motion with angular momentum 'L'. Its rotational kinetic energy becomes half when the angular frequency is doubled. Its new angular momentum is ______.

The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1. And the ratio `("I"_"max" - "I"_"min")/("I"_"max" + "I"_"min")` is `5/x`. Then the value of x will be equal to ______.

A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept at 27°C. The ratio of their average kinetic energy per molecule respectively will be ______.

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 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 ______.

The transition from the state n = 4 to n = 3 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from ______.

The two blocks, m = 10 kg and M = 50kg are free to move as shown. The coefficient of static friction between the blocks is 0.5 and there is no friction between M and the ground. A minimum horizontal force F is applied to hold m against M that is equal to ______.

A mass attached to one end of a string crosses top-most point on a vertical circle with critical speed. Its centripetal acceleration when string becomes horizontal will be ______. (g = gravitational acceleration)

A body is thrown from the surface of the earth with velocity 'u' m/s. The maximum height in m above the surface of the earth upto which it will reach is ______.

(R = radius of earth, g = acceleration due to gravity)

A lift of mass 'm' is connected to a rope which is moving upward with maximum acceleration 'a'. For maximum safe stress, the elastic limit of the rope is 'T'. The minimum diameter of the rope is ______.

(g = gravitational acceleration)

For a rigid diatomic molecule, universal gas constant R = nC_p where 'C_P' is the molar specific heat at constant pressure and 'n' is a number. Hence 'n' is equal to ______.

The depth 'd' at which the value of acceleration due to gravity becomes `"I"/"n"` times the value at the earth's surface is ______. (R = radius of earth)

Interference fringes are produced on a screen by using two light sources of intensities I and 9I. The phase difference between the beams is `pi/2` at point P and π at point Q on the screen. The difference between the resultant intensities at point P and Q is ______.

The value of gravitational acceleration g at a height h above the earth's surface is `"g"/4`, then ______. (R = radius of earth)

The difference in the acceleration due to gravity at the pole and equator is ______.

(g = acceleration due to gravity, R = radius of the earth; θ = latitude, ω = angular velocity, cos0° = 1, cos90° = 0)

The magnetic field at the centre of a current-carrying circular coil of area A is B. The magnetic moment of the coil is ______.

[µ₀ = permeability of free space]

Two coherent sources P and Q produce interference at point A on the screen where there is a dark band which is formed between 4th bright band and 5th bright band. Wavelength of light used is 6000 Å. The path difference between PA and QA is ______.

The displacement of a wave travelling in the x-direction is `y = 10^-4 sin [ 600t - 2x + pi/3]`, where x is in metres and t in seconds. The speed of the wave is ______.