QUIZ 2:gravitation (previous Year Q)(#Free Test Series) - JEE MCQ

A projectile is projected with velocity kv_e in vertically upward direction from the ground into the space. (ve is escape velocity and k<1 If air resistance is considered to be negligible then the maximum height from the centre of earth to which it can go, will be : (R = radius of earth) [Roorkee 1999; RPET 1999] 

A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.01)R. The period of the second satellite is larger than that of the first one by approximately [IIT 1995] 

If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been [IIT 1996; RPET 1996] 

A geostationary satellite orbits around the earth in a circular orbit of radius 36000 km. Then, the time period of a satellite orbiting a few hundred kilometres above the earth?s surface  (R(Earth)=6400km) will approximately be [IIT-JEE (Screening) 2002] 

If an artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of the escape velocity from the earth, the height of the satellite above the surface of the earth is: 

.The time period of a simple pendulum at the centre of earth is

.A satellite is orbiting very close to planet. Its time period depends only upon: