JEE Physics · Medium

Gravitation: g variation — numerical MCQ

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g variation — numericalMediumQuestion 30745

Question

At what height above Earth's surface does g equal g/4? (R = 6400 km)
  1. A
    3200 km
  2. B
    6400 km
    Correct
  3. C
    12800 km
  4. D
    25600 km

Correct answer

6400 km

Explanation

g_h = g/(1+h/R)². g/4 = g/(1+h/R)² → (1+h/R)² = 4 → 1+h/R = 2 → h = R = 6400 km.