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Question: If the change in the value of g at a height h above the surface of the earth is the same as at a dep...

If the change in the value of g at a height h above the surface of the earth is the same as at a depth x below it when both x and h are much smaller than the radius of the earth, then –

A

x = h

B

x = 2h

C

x = h2\frac { \mathrm { h } } { 2 }

D

x = h3\frac { \mathrm { h } } { 3 }

Answer

x = 2h

Explanation

Solution

× 100% = 2hR\frac { 2 h } { R } × 100%

d = 2h

x = 2h

Q d = x