Acceleration due to gravity and its variation - Question Bank
1. If the Earth were a perfect sphere with no rotation and uniform density, the acceleration due to gravity would be:
2. The apparent weight of a person standing on a weighing machine at the equator is less than their actual weight due to:
3. The acceleration due to gravity of a body moving inside a uniform spherical Earth of radius R, at a distance r from the center (r < R), is proportional to:
4. The variation of 'g' with altitude is given by g' = GM/(R+h)². For very large heights (h >> R), 'g' approaches:
5. The gravitational acceleration 'g' at the Earth's surface is approximately 9.8 m/s². What would be the approximate value of 'g' on a planet with twice the radius and twice the mass of Earth?
6. The effect of Earth's rotation on 'g' is most pronounced at:
7. Which of the following statements about acceleration due to gravity is INCORRECT?
8. The acceleration due to gravity at a distance 'r' from the center of a uniform sphere of radius R and mass M is proportional to:
9. If an object is taken from the Earth's surface to a depth 'd', its weight decreases by approximately:
10. The variation of 'g' with latitude is mainly due to:
11. The acceleration due to gravity inside a uniform spherical shell of mass M and radius R, at a distance r from the center (r < R), is:
12. The acceleration due to gravity at a height 'h' from the surface of the Earth is given by g(1 - 2h/R). If h = R, the value of g would be:
13. Why is the value of 'g' slightly less at the equator than at the poles, even if the Earth were a perfect sphere?
14. If the Earth's mass were doubled and its radius remained the same, the acceleration due to gravity at the surface would:
15. The acceleration due to gravity at a height 'h' above the surface is g' = GM/(R+h)². The percentage decrease in 'g' for a small height 'h' is approximately:
16. At what depth below the Earth's surface would the acceleration due to gravity be half of that at the surface, assuming uniform density?
17. The acceleration due to gravity on the surface of a planet of mass M and radius R is proportional to:
18. The variation of 'g' with depth is significant for:
19. The variation of 'g' with altitude is significant for:
20. If the Earth stops rotating, the acceleration due to gravity at the equator would:
21. The effective acceleration due to gravity decreases with latitude due to:
22. The term 'apparent weight' refers to the weight measured by:
23. If a body is taken from the Earth's surface to a great height, its weight will:
24. What is the approximate value of acceleration due to gravity on the Moon's surface?
25. An object weighs less at the equator than at the poles. This is mainly because:
26. The acceleration due to gravity decreases with altitude because:
27. If the Earth's radius were halved, keeping its mass constant, the acceleration due to gravity at the surface would:
28. The mass of the Earth is approximately 6 × 10^24 kg and its radius is approximately 6.4 × 10^6 m. The value of G is 6.67 × 10^-11 Nm²/kg². Calculate the approximate value of g at the surface.
29. The value of acceleration due to gravity is highest at:
30. If the Earth had a uniform density, the acceleration due to gravity at a depth 'd' would be proportional to:
31. When we consider the variation of 'g' with altitude, the formula g' = GM/(R+h)² is exact. The approximate formula g' ≈ g(1 - 2h/R) is valid when:
32. Consider a point mass 'm' at a height 'h' from the Earth's surface. The gravitational force is proportional to 1/r², where 'r' is the distance from the center. How does 'g' vary with 'r'?
33. The effective acceleration due to gravity at the equator (λ=0°) is given by g_eff = g - Rω². This shows that:
34. The effective acceleration due to gravity at a latitude 'λ' is given by g_eff = g - Rω²cos²λ, where 'g' is the gravity without rotation and 'ω' is the angular velocity of Earth. What is the effective acceleration at the poles (λ=90°)?
35. If a tunnel is dug from one side of the Earth to the other passing through the center, the acceleration due to gravity of an object inside the tunnel will be:
36. A satellite orbits the Earth at a certain height. If the height increases, the acceleration due to gravity experienced by the satellite:
37. Which factor contributes the least to the variation of 'g' across the Earth's surface?
38. The flattening of the Earth at the poles and bulging at the equator causes 'g' to be:
39. If the Earth's density were not uniform, how would that affect the variation of 'g' with depth?
40. What is the acceleration due to gravity at the center of the Earth, assuming uniform density?
41. The formula for acceleration due to gravity at a depth 'd' below the Earth's surface is approximately g'' = g(1 - d/R) for:
42. How does the acceleration due to gravity change with depth below the Earth's surface (assuming uniform density)?
43. The decrease in acceleration due to gravity at the equator compared to the poles is primarily due to:
44. At which location on Earth's surface is the apparent acceleration due to gravity the maximum?
45. What is the effect of Earth's rotation on the apparent acceleration due to gravity?
46. The formula for acceleration due to gravity at a height 'h' above the Earth's surface is approximately g' = g(1 - 2h/R) for:
47. How does the acceleration due to gravity change as you move away from the Earth's center (altitude increases)?
48. What is the primary reason for the variation of acceleration due to gravity with altitude?
49. If the Earth were to shrink, keeping its mass constant, how would the acceleration due to gravity at its surface change?
50. The acceleration due to gravity on the surface of the Earth is approximately: