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

The path difference between two interference light waves meeting at a point on the screen is `(87/2)lambda`. The band obtained at that point is ______.

If the tension in the stretched string is increased by 69%, its fundamental frequency ______.

The acceleration due to gravity on the earth of radius R_e is g_e, and that on moon of radius R_m, is g_m. The ratio of the masses of the earth and moon is given by ______.

If y = y₀ sin 2π `("ft" - x/lambda)` is, the equation of transverse wave, then for what value of λ the maximum particle velocity is equal to four times the wave velocity?

If the surface is smooth, the acceleration of the block m₂ will be ______.

If the change in the value of g at the height h above the surface of the earth is the same as at a depth x below it, then ______.

(both x and h being much smaller than the radius of the earth)

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is ______.

A body sends waves 100 mm long through medium P and 0.25 m long in medium Q. If the velocity of the wave in medium P is 80 cms^-1. The velocity of the wave in medium Q is ______.

A uniform ring of mass M and radius r is placed directly above a uniform sphere of mass 8M and of same radius R. The centre of the ring is at a distance of d = `sqrt3​`R from the centre of the sphere. The gravitational attraction between the sphere and the ring is ______.

The speed of sound in a mixture of 1 mole of He and 2 mole of oxygen at 27°C is ______.

The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R are 10 m/s² and 6400 km, respectively. The required energy for this work will be ______.

A ray of light AO in a vacuum is incident on a glass slab at an angle of 60° and refracted at an angle of 30° along OB as shown in the figure. The optical path length of the light ray from A to B is ______.

The equation of a wave travelling on a stretched string is y = 4 sin 2π `("t"/0.02-"x"/100)`, here x and y are in cm and t is in second. The speed of wave is ______.

A coil of n turns and resistance R Ω is connected in series with a resistance `"R"/2`. The combination is moved for time t second through magnetic flux ϕ₁ to ϕ₂, The induced current in the circuit is ______.

The energy in the superposition of waves ____________.

Statement - 1: For practical purpose, the earth is used as a reference at zero potential in electrical circuits.

Statement - 2: The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given by `Q/(4piepsilon_0R)`.

When the magnetic dipole is rotated through angle `theta`, work done in rotating dipole is given by -mB cos `theta`. Now, a magnetic needle lying parallel to a magnetic field requires W units of work to tum it through 60°. What will be the value of torque needed to maintain the needle in same position?

The radius of circle, the period of revolution, initial position, and sense of revolution are indicated in the figure.

y-projection of the radius vector of rotating particle P is:

Critical angle of light passing from glass to air is maximum for ____________.

Six very long insulated copper wires are bound together to form a cable. The currents carried by the wires are I₁ = +10 A, I₂ = -12 A, I₃ = +10A, I₄ = +8 A, I₅ = -11 A and I₆ = 19 A. The magnetic induction at a perpendicular distance of 20 cm from the cable is ______.