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Question 30703
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Gravitation: g at Altitude MCQ

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g at AltitudeEasyQuestion 30703

Question

Acceleration due to gravity at height h above Earth's surface (h << R) is approximately:
  1. A
    g(1 − h/R)
  2. B
    g(1 − 2h/R)
    Correct
  3. C
    g(1 + h/R)
  4. D
    g/(1 + h/R)²

Correct answer

g(1 − 2h/R)

Explanation

g_h = GM/(R+h)² = g/(1+h/R)² ≈ g(1−2h/R) for h << R using binomial approximation.

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