NEET Physics Motion of Satellites Escape Speed and Orbital Velocity Online Test Set B

1. The total energy of a circularly orbiting satellite is

2. A satellite is launched in the equatorial plane in such a way that it can transmit signals upto 60° latitude on the earth. The angular velocity of the satellite is

3. A satellite is seen after each 8 hours over equator at a place on the earth when its sense of rotation is opposite to the earth. The time interval after which it can be seen at the same place when the sense of rotation of earth and satellite is same will be –

4.

5. A satellite can be in a geostationary orbit around earth at a distance r from the centre. If the angular velocity of earth about its axis doubles, a satellite can now be in a geostationary orbit around earth if its distance from the centre is

6. A rocket is fired vertically from the surface of mars with a speed of 2 km/s. If 20% of its initial energy is lost due to martian atmosphere resistance, how far will the rocket go from the surface of mars before returning to it? Mass of mars = 6.4 × 10²³ kg, radius of mars = 3395 km, G = 6.67 × 10^–11 Nm²/kg².

7. The least energy required to launch a satellite of mass 100 kg from the surface of a planet of mass M and radius 3200 km in a circular orbit at an altitude of 6400 km is:

8. The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3 V, then the speed of satellite B will be

9. A satellite of mass ‘m’, moving around the earth in a circular orbit of radius R, has angular momentum L. The areal velocity of satellite is (M_e = mass of earth)

10. The kinetic energy of a satellite in its orbit around the earth is E. What should be the kinetic energy of the satellite so as to enable it to escape from the gravitational pull of the earth?

11. The escape velocity from the earth's surface is 11 km/s. The escape velocity from a planet having twice the radius and same mean density as that of earth is

12. A satellite revolves around the earth of radius R in a circular orbit of radius 3R. The percentage increase in energy required to lift it to an orbit of radius 5R is

13. A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth's surface is 11 km s^–1, the escape velocity from the surface of the planet would be

14. The moon has a mass of 1/81 that of the earth and a radius of 1/4 that of the earth. The escape speed from the surface of the earth is 11.2 km/s. The escape speed from the surface of the moon is:

15. A small satellite is revolving near earth’s surface. It’s orbital velocity will be nearly

16. For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is

17. The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R (radius of earth) are 10 m/s² and 6400 km respectively. The required energy for this work will be

18. A geostationary satellite is orbiting the earth at a height of 5R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is

19. If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will

20. Two satellites of masses m and 2m are revolving around a planet of mass M with different speeds in orbits of radii r and 2r respectively. The ratio of minimum and maximum forces on the planet due to satellites is