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If the change in the value of "g" at a height  h above the earth's surface is the same as that of  the change in the value of "g"  at a depth x below it (both x and h are much smaller than the radius of the earth), then 

Option: 1

x=h


Option: 2

x=2h


Option: 3

x=h/2


Option: 4

x=h^2


Answers (1)

best_answer

The variation of g  with altitude h is given by the relation

g_h=g [ 1 - \frac{2 h}{R}] (\because h < < R)

Also, the variation of g with depth x is given as

g_x=g [ 1 - \frac{x}{R}] (\because x < < R)

Equating g_h and g_x,

we get

x=2h

 

Posted by

Gaurav

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