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Question: If radius of earth is R then the height ‘h’ at which value of ‘g’ becomes one-fourth is...

If radius of earth is R then the height ‘h’ at which value of ‘g’ becomes one-fourth is

A

R4\frac { R } { 4 }

B

3R4\frac { 3 R } { 4 }

C

R

D

R8\frac { R } { 8 }

Answer

R

Explanation

Solution

g=g(RR+h)2=g4g ^ { \prime } = g \left( \frac { R } { R + h } \right) ^ { 2 } = \frac { g } { 4 } . By solving h = R