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Calculate the distance from the surface ...

Calculate the distance from the surface of the earth at which above the surface, acceleration due to gravity is the same.

A

`h = ((sqrt(5) - 1)/(2))R`

B

`h = ((sqrt(5) - 1))/R`

C

h = R

D

None of the Above

Text Solution

Verified by Experts

The correct Answer is:
A
`g' = (g)/((1 + (h)/(R)^(2))) = g (1 - (h)/(R))`
Solving this equation, we get
`h = ((sqrt(5) - 1)/(2))R`
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