A satellite is to revolve round the earth in a circle of radius 8000 km. The speed at which this satellite be projected into an orbit, will be
1.
2. 16 km/s
3. 7.15 km/s
4. 8 km/s
If the mass of a body is M on the earth surface, then the mass of the same body on the moon surface is:
1. M/6
2. Zero
3. M
4. None of these
Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to -
1.
2.
3. R
4.
A particle falls towards earth from infinity. It’s velocity on reaching the earth would be -
1. Infinity
2.
3.
4. Zero
Two satellite A and B, ratio of masses 3 : 1 are in circular orbits of radii r and 4r. Then ratio of total mechanical energy of A to B is
1. 1 : 3
2. 3 : 1
3. 3 : 4
4. 12 : 1
The orbital velocity of a planet revolving close to earth's surface is
1.
2.
3.
4.
If the gravitational force between two objects were proportional to \(\frac{1}{R}\) (and not as\(\frac{1}{R^2}\)) where \(R\) is the separation between them, then a particle in circular orbit under such a force would have its orbital speed \(v\) proportional to:
1. \(\frac{1}{R^2}\)
2. \(R^{0}\)
3. \(R^{1}\)
4. \(\frac{1}{R}\)
When a satellite going round the earth in a circular orbit of radius r and speed v loses some of its energy, then r and v change as
1. r and v both will increase
2. r and v both will decrease
3. r will decrease and v will increase
4. r will decrease and v will decrease
Which of the following quantities does not depend upon the orbital radius of the satellite ?
1.
2.
3.
4.
A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is -
1. 8 R
2. 4 R
3. 2 R
4. R