Gravitation
Universal law of gravitation; acceleration due to gravity and its variation with altitude and depth; Kepler's laws; gravitational potential energy; gravitational potential; escape velocity; motion of a satellite, orbital velocity, time period and energy of satellite.
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Take a full mock →Q1 · Gravitation · EASY
The acceleration due to gravity at a height h above the Earth's surface is g'. If the radius of Earth is R, then the value of h for which g' = g/4 is:
Q2 · Gravitation · MEDIUM
A satellite is revolving around Earth in a circular orbit at height h = R above the surface, where R is the radius of Earth. If g is acceleration due to gravity on Earth's surface, the orbital velocity of the satellite is:
Q3 · Gravitation · MEDIUM
A geostationary satellite orbits Earth at a height of approximately 36000 km above the equator. If the orbital radius is increased to 4 times its original value, the new time period of the satellite will be:
Q4 · Gravitation · HARD
A particle is projected vertically upward from Earth's surface with a kinetic energy equal to one-third of the minimum kinetic energy needed to escape from Earth's gravitational field. The maximum height attained by the particle is (R = radius of Earth):
Q5 · Gravitation · EASY
The gravitational potential at a point at height h above the Earth's surface is (M is Earth's mass, R is Earth's radius):