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
D.
The resulting gravitational potential is,
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
C.
A spherical planet has a mass Mp and diameter Dp. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to
4GMp/Dp2
GMpm/Dp2
GMpm/ Dp2
GMpm/ Dp2
A.
4GMp/Dp2
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
C.
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
C.
3R