Gravitation MixedHardQuestion 6280
Question
An artificial satellite orbiting at height R (R = Earth radius). Orbital period (g, R):
- A2π√(R/g)
- B2π√(8R/g)Correct
- C2π√(2R/g)
- D2π√(4R/g)
Correct answer
2π√(8R/g)
Explanation
r = 2R. T = 2π√(r³/GM) = 2π√(8R³/gR²) = 2π√(8R/g).