If ‘r’ represents the radius of the orbit of a satellite of mass ‘m’ moving round a planet of mass ‘M’, the velocity of the satellite is given by

When the planet comes nearer the sun moves

Kepler’s second law regarding constancy of arial velocity of a planet is a consequence of the law of conservation of

The relation between escape velocity and orbit velocity is

A geostationary satellite is orbiting the earth at a height of 6R above the surface of the earth, R being the radius of the earth. The time period of another satellite at a height of 2.5 R from the surface of earth is

The distance of Neptune and Saturn from the sun are nearly 1013 m and 1012 m respectively. Assuming that they move in circular orbits, their periodic times would be in the ratio of

Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to R^-5/2 then

The acceleration due to gravity g and mean density of the earth ρ are related by which of
the following relation? Where g is gravitational constant and R is radius of the earth

If the earth is 1/4^th of its present distance from the sun, the duration of the year would be

A planet has twice the radius but the mean density is 1/4^th as compared to earth. What is the radio of the escape velocity from the earth to that from the planet?