Q.

Ifgd is the acceleration due gravity at a depth ‘d’ andgh the acceleration due to gravity at a height h from the surface of the earth (if h = d)                                 

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a

gd>gh

b

gd<gh

c

depends on h

d

gd=gh

answer is A.

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Detailed Solution

Given that

Acceleration due to gravity at height h is =gh

Acceleration due to gravity at depth d is =gd  

Whenh=d  we get ghgd

As h increases in g value decreases since(g1r2)  

As d increases g value decrease because of decrease in effective mass of earth

Sogh ,gd  depends on h.

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