Physics Test - ...

A gaseous mixture consists of 16 of helium and 16 of oxygen. The ratio C_P / C_V  of the mixture is

A solid sphere of radius R made of a material of bulk modulus B is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid. Find the fractional change in the radius of the sphere (dR/R) when a mass M is placed on the piston to compress the liquid.

Circuit for the measurement of resistance by potentiometer is shown. The galvanometer is first connected at point A and zero deflection is observed at length PJ = 10 cm. In second case it is connected at point C and zero deflection is observed at a length 30 cm from P. Then the unknown resistance X is

One end of a light spring of natural length d and spring constant k is fixed on a rigid wall and the other is fixed to a smooth ring of mass m which can slide without friction in a vertical rod fixed at a distance d from the wall. Initially the spring makes an angle of 37^o with the horizontal as shown in diagram. When the system is released from rest, find the speed of the ring when the spring becomes horizontal. (sin 37^o = 3/5)

A small cannon 'A' is mounted on a platform ( which can be rotated so that the cannon can aim at any point) and is adjusted for maximum range R of shells. It can throw shells on any point on the shown circle (dotted) on ground. Suddenly a windstorm starts blowing in horizontal direction normal to AB with a speed $\sqrt{2}$times the velocity of shell. At what least distance can the shell land from point B.(Assume that the velocity of the windstorm is imparted to the shell in addition to its velocity of projection. Also assume that the platform is kept stationary while projecting the shell.)

A thread is wound around two discs on either sides. The pulley and the two discs have the same mass and radius. There is no slipping at the pulley and no friction at the hinge. Find out the accelerations of the two discs and the angular acceleration of the pulley

In the shown circuit the resistance R can be varied:

The variation of current through R against R is correctly plotted as :

A projectile is fired into the air from the edge of a 100 m high cliff at an angle of 37⁰ above the horizontal. The projectile hits a target 400 m away from the base of the cliff. What is the  initial velocity of the projectile, v_o ? ( Neglect air friction and assume x- axis to be horizontal and y - axis to be vertical).

A piece of copper and another of germanium are cooled from room temperature to 80 K. The resistance of

A ball of mass m moving with velocity v strikes the bob of a pendulum at rest. The mass of the bob is also m. If the collision is perfectly inelastic, the height to which the bob will rise is given by