SATHEE: Gravitation Question 52

Gravitation Question 52

Question: What will be the acceleration due to gravity at height h if h » R. Where R is radius of earth and g is acceleration due to gravity on the surface of earth[RPET 2001]

Options:

A) $[\frac{g}{{(1 + \frac{h}{R})}^{2}}]$

B) $[g (1 - \frac{2 h}{R})]$

C) $[\frac{g}{{(1 - \frac{h}{R})}^{2}}]$

D) $[g (1 - \frac{h}{R})]$

Show Answer

Answer:

Correct Answer: A

Solution:

$[g^{'} = g {(\frac{R}{R + h})}^{2} = \frac{g}{{(1 + \frac{h}{R})}^{2}}]$

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