11.

A geostationary satellite is orbiting the earth at a height of 5R above that surface of the earth, R being the radius of the earth. The  time period of another satellite in hours at a height of 2R from the surface of the earth is

• 5

• 10

• 
• 

A spherical planet has a mass M_p and diameter D_p. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

• 4GM_p/D_p²

• GM_pm/D_p²

• GM_pm/ D_p²

• GM_pm/ D_p²

An alternating electric field of frequency v is applied across the dees (radius =R ) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it are given by

Two sphere A and B of masses m₁ and m₂ respectively collide. A is at rest initially and B is moving with velocity v along the x -axis. After the collision, B has a velocity v/2 in a direction perpendicular to the original direction. The mass A moves after collision in the direction

• same as that of B

• opposite to that of B

• 
• 

If the radius of a star is  R and it acts as a black body, what would be the temperature of the star, in which the rate of energy production is Q?

• Q/4πR²σ

• (Q/4πR²σ)^-1/2

• (4πR²Q/σ)^1/4

• (4πR²Q/σ)^1/4

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

• kg ms^-1

• kg ms^-2

• kgs^-1

• kgs^-1

Liquid oxygen at 50  K is heated to 3000 K at a constant pressure of 1 atm. The rate of heating is constant. which one of the following graphs represents the variation of temperature with time?

One mole of an ideal gas goes from an initial state A to final state B via two processes. It first undergoes isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant pressure. The correct p-V diagram representing the two processes is

A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms^-1. It collides with horizontal springs of force constant 200 Nm^-1. The maximum compression produced in the spring will be

• 0.5 m

• 0.6 m

• 0.7 m

• 0.7 m

A thermodynamic system is taken through the cycle ABCD as shown in a figure. Heat rejected by the gas during the cycle is

• 2 pV

• 4 pV

• 1/2 pV

• 1/2 pV