If the gravitational force between two objects were proportional to 1/R (and not as 1/R2), where R is separation between them, then a particle in circular orbit under such a force would have its orbital speed v proportional to
1/R2
Ro
R
1/R
The mean radius of earth is R, its angular speed on its own axis is ω and the acceleration due to gravity at earth's surface is g. What will be the radius of the orbit of a geostationary satellite?
The distances of two planets from the sun are 1013 and 1012 m respectively. The ratio of time periods of these two planets is
1/√10
100
10 √10
√10
The escape velocity from the surface of the earth is ve. The escape velocity from the surface of a planet whose mass and radius are three times those of the earth, will be
ve
3ve
9ve
1/3ve
A ball is dropped from a satellite revolving around the earth at a height of 120 km. The ball will
continue to move with same speed along a straight line tangentially to the satellite at that time.
continue to move with the same speed along the original orbit of satellite
fall down to earth gradually
go far away in space
A satellite A of mass m is at a distance r from the surface of the earth. Another satellite B of mass 2m is at a distance of 2r from the earth's surface. Their time periods are in the ratio of
1 : 2
1 : 16
1 : 32
1 : 2 √2