Physics Test - ...

Fission in a nuclear reactor

A large spherical mass M is fixed at one position and two identical point masses m are kept on a line passing through the centre of M (see figure). The point masses are connected by a rigid massless rod of length l and this assembly is free to move along the line connecting them. All three masses interact only through their mutual gravitational interaction. When the point mass nearer to M is at a distance r = 3l from M, the tension in the rod is zero for m = k(M/288). The value of k is

In terms of potential difference V, electric current I, permittivity ε0, permeability μ0 and speed of light c, the dimensionally correct equation(s) is(are)

Two beams of red and violet colours are made to pass separately through a prism of A = 60°. In the minimum deviation position, the angle of refraction inside the prism will be

A bat flies at a steady speed of 4 ms^-1 emitting a sound of f = 90 x 10^3 Hz. It is flying horizontally towards a vertical wall. The frequency of the reflected sound as detected by the bat will be _________.(Take velocity of sound in air as 330 ms^-1).

A body of mass 4 kg is accelerated upon by a constant force, travels a distance of 5 m in the first second and a distance of 2 m in the third second. The force acting on the body is

A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet’s gravity is 1/4 th of its value at the surface of the planet. If the escape velocity from the planet is v esc = v√N , then the value of N is (ignore energy loss due to atmosphere)

A capacitor and an inductance coil are connected in separate AC circuits with a bulb glowing in both the circuits. The bulb glows more brightly when _____________.