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Question 30757
JEE Physics · Medium

Gravitation: JEE — g Depth vs Altitude MCQ

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JEE — g Depth vs AltitudeMediumQuestion 30757

Question

g decreases from surface value as you go up OR down. The rate of decrease is faster:
  1. A
    Going upward
    Correct
  2. B
    Going downward
  3. C
    Same rate in both directions
  4. D
    Depends on Earth's density profile

Correct answer

Going upward

Explanation

Going up: g ∝ 1/(R+h)² decreases as 2g/R per unit height initially (rate = 2g/R). Going down: g decreases as g/R per unit depth (rate = g/R). Rate of decrease is twice as fast going up compared to going down, near the surface.

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