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

• 
• 

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1m, 2 m, 4 m, 8 m, respectively from the origin. The resulting gravitational potential due to this system at the origin will be

• -G

• 
• 
• 

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

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

The height at which the weight of a body becomes 1/16th, its weight on the surface of earth (radius R), is

• 5R

• 15 R

• 3R

• 3R