Physics Test 105

In given transistor

When a cyclist takes turn on a level road with constant speed.

As shown in figure a body of mass 1 kg is shifted from A to D on inclined planes by applying a force slowly such that the block is always in contact with the plane surfaces. Neglecting the jerk experienced at points C and B, total work done by the force is :

A ball is of mass m, strikes a smooth ground at angle α as shown in figure and is reflected at angle β. The coefficient of restitution will be 

A wheel of radius R = 0.1 m is rolling without slipping on a horizontal surface as shown in  the figure. Centre of the wheel moves with a constant speed √3 m/s. The speed of the point P with respect to ground is :-

ABC is a smooth horizontal wire frame. PQ is a wire of mass m, which can slide on frame. There is a film of a liquid of surface tension T covering the triangular part. Wire PQ is given a velocity v₀ when it is at a distance x₀ from B. Find v₀ if wire PQ is just able to reach upto a distance 2x₀ from B.

A mono-atomic gas undergoes a cylic process as shown. Find efficiency.

Equation of a standing wave on a string of linear mass density μ is given by y = Asinkx sinωt . Maximum particle velocity at antinode is v₀. If λ be the wavelength of superposing waves then find total maximum kinetic energy of all particles within two consecutive nodes.

ABCD is a smooth plank placed in horizontal xy-plane. A small body of mass m is connected to a string which is connected to point P of plank. Initially plank and body both are at rest. Now an acceleration of  is given to plank. Find angle made by string with its initial direction when net force on body is along the string as seen from the frame of the plank.

Density of a solid sphere of radius R is p = p₀ (1 + r/R) at a distance r from the centre. Find magnitude of intensity of gravitational field at a distance r = R/2 from centre.