Escape velocity and motion of satellites - One Line Questions

1. The escape velocity from the Moon is approximately: — 2.38 km/s
2. A geostationary satellite orbits the Earth at a height of approximately: — 36000 km
3. If the distance of a satellite from the Earth is increased by 4 times, its orbital period will increase by a factor of: — 8
4. A satellite is in a circular orbit. If its kinetic energy is E, its potential energy is: — -2E
5. The orbital radius of a geostationary satellite is approximately: — 42,000 km
6. For a geostationary satellite, its time period of revolution is: — 24 hours
7. What is the escape velocity of an object on the surface of the Earth? — 11.2 km/s
8. The escape velocity from the surface of the Earth is approximately: — 11.2 km/s
9. What is the minimum velocity required to put a satellite into a circular orbit just above the Earth's surface? — 7.9 km/s
10. If a satellite is launched with a velocity less than the escape velocity but greater than the orbital velocity, it will follow: — An elliptical orbit
11. The orbital velocity of a satellite is maximum when it is at: — Perigee
12. The condition for a satellite to be in a stable circular orbit is that the gravitational force provides the necessary: — Centripetal force
13. The kinetic energy of a satellite in an elliptical orbit is: — Maximum at perigee
14. If a satellite is in an elliptical orbit, its speed is: — Maximum at perigee
15. A satellite is in a circular orbit around Earth. If its orbital radius is increased, its time period will: — Increase
16. If a satellite is moved from a lower orbit to a higher orbit, its total energy: — Increases
17. For a satellite to orbit the Earth, its velocity must be: — Less than escape velocity but greater than zero
18. The kinetic energy of a satellite in a circular orbit is given by: — GMm/(2R)
19. The total energy of a satellite in a circular orbit of radius r is: — -GMm/(2r)
20. The potential energy of a satellite in a circular orbit of radius r is: — -GMm/r
21. Which of the following factors does NOT affect the escape velocity from the surface of a celestial body? — Gravitational constant (G)
22. If the density of a planet is increased by 8 times, keeping its radius the same, the escape velocity from its surface will: — Increase by 2 times
23. The total energy of a satellite in an elliptical orbit is negative, which indicates: — It is bound to the central body.
24. Which of the following is a condition for a satellite to be in a geostationary orbit? — It must orbit in the equatorial plane.
25. If the radius of a planet is halved, what happens to the escape velocity from its surface, assuming its density remains the same? — It becomes half
26. A satellite is in a circular orbit of radius R around the Earth. If its speed is suddenly doubled, what will happen? — It will escape Earth's gravity.
27. Which of the following statements is TRUE for a satellite in a circular orbit? — Its kinetic energy is constant.
28. The orbital period of a satellite depends on: — Both the mass of the planet and the radius of the orbit
29. If the mass of a planet is M and its radius is R, the escape velocity from its surface is proportional to: — M^(1/2) R^(-1/2)
30. If the mass of the Earth is M and its radius is R, the escape velocity is proportional to: — sqrt(M)/R
31. What is the unit of escape velocity? — m/s
32. Consider a satellite in a circular orbit. If its speed is increased slightly, it will: — Move to an elliptical orbit
33. A satellite is orbiting the Earth in a circular orbit. If its speed is decreased by a small amount, it will: — Move to a lower circular orbit
34. If a satellite is launched with a velocity greater than escape velocity, it will: — Escape from Earth's gravitational pull
35. What is the angular velocity of a geostationary satellite? — 2pi/24 rad/hr
36. The time period of a satellite orbiting the Earth in a circular orbit of radius r is proportional to: — r^(3/2)
37. If the Earth's radius were halved, keeping its mass the same, the escape velocity from its surface would: — Double
38. For a satellite in an elliptical orbit, the quantity that remains constant is: — Angular momentum
39. The formula for escape velocity from the surface of a celestial body of mass M and radius R is: — sqrt(2GM/R)
40. What is the velocity of a satellite in a circular orbit of radius r around a planet of mass M? — sqrt(GM/r)
41. The escape velocity formula can also be written in terms of the acceleration due to gravity (g) at the surface and the radius (R) as: — sqrt(2gR)
42. If a satellite is in an elliptical orbit, its angular momentum is conserved because: — The gravitational force is central.
43. The orbital velocity of a satellite is independent of: — The mass of the satellite
44. The escape velocity from a planet depends on: — The mass and radius of the planet
45. Which of the following is a characteristic of Kepler's Third Law for satellites? — The square of the orbital period is proportional to the cube of the semi-major axis.
46. The direction of the velocity of a satellite in a circular orbit is always: — Tangent to the orbit
47. The escape velocity from a planet of mass M and radius R is given by the formula: — v_e = sqrt(2GM/R)
48. What is the relationship between escape velocity (v_e) and orbital velocity (v_o) for a satellite orbiting at the surface of a planet? — v_e = sqrt(2) * v_o
49. For a satellite orbiting the Earth at a height h above the surface, its orbital velocity is given by: — v_o = sqrt(GM/(R+h))
50. The orbital velocity of a satellite in a circular orbit of radius r is given by: — v_o = sqrt(GM/r)
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