Kepler's laws, gravitational potential, escape velocity, orbital motion.
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Q1 · Gravitation (Class 11 — ~20% weight) · MEDIUM
A satellite is revolving around the Earth in a circular orbit at a height of 1600 km above the Earth's surface. If the radius of the Earth is 6400 km, what is the orbital velocity of the satellite? (Take g = 10 m/s²)
Q2 · Gravitation (Class 11 — ~20% weight) · EASY
According to Kepler's third law, the square of the time period of revolution of a planet around the Sun is proportional to:
Q3 · Gravitation (Class 11 — ~20% weight) · HARD
The gravitational potential at a point at a distance r from the center of the Earth (mass M, radius R) where r > R is V = -GM/r. What is the work done by the gravitational force in moving a mass m from the surface of Earth to a height equal to the radius of Earth?
Q4 · Gravitation (Class 11 — ~20% weight) · MEDIUM
The escape velocity from the surface of Earth is approximately 11.2 km/s. What will be the escape velocity from a planet whose mass is 4 times and radius is 2 times that of Earth?