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If g is the acceleration due to gravity ...

If g is the acceleration due to gravity on the surface of the earth , its value at a height equal to double the radius of the earth is

A

g

B

g/2

C

g/3

D

g/9

Text Solution

Verified by Experts

The correct Answer is:
D
On the earth.s surface , ` g = (GM)/(R^(2))`
At a height `h, g. = (GM)/((R + h)^(2)) = (GM)/((R + 2 R)^(2)) = (1)/(9) (GM)/(R^(2))`
g. ` = (g)/(9)`
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