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Question

As the altitude increases, the acceleration due to gravity:
  1. Remains constant
  2. Becomes zero
  3. Decreases
  4. Increases

A
Becomes zero
B
Increases
C
Remains constant
D
Decreases
Solution
Verified by Toppr

g=GmR2
Let acceleration due to gravity at a height h =g1
g1=Gm(R+h)2
g1g=(1+hR)2
Expanding by binomial theorem and neglecting higher powers
g1g=(12hR)
g1=g(12hR)
So as altitude increases acceleration decreases

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