The value of g on the earth #39;s surfac

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The value of g on the earth's surface is $980\,cm/{\sec ^2}$. Its value at a height of $64 \,km$ from the earth's surface is ........ $cm/{\sec ^2}$

(Radius of the earth $R = 6400$ kilometers) 

A

$960.40$

B

$984.90$

C

$982.45$

D

$977.55$

The value of g on the earth's surface is $980\,cm/{\sec ^2}$. Its value at a height of $64 \,km$ from the earth's surface is ........ $cm/{\sec ^2}$

(Radius of the earth $R = 6400$ kilometers) 

$\frac{{g'}}{g} = {\left( {\frac{R}{{R + h}}} \right)^2} = {\left( {\frac{{6400}}{{6400 + 64}}} \right)^2}$$ \Rightarrow $$g' = 960.40\;cm/{s^2}$