Question

At what height above the earth's surface, the value of g is same as in mine 80 km deep?

Answer 1

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Answer 2

Explanation:

we know that for variation of g with height(h),

g' = g(1- 2h/R)

and for variation of g with depth(d)

g' = g(1- d/R)

According to the question,

g(1- 2h/R) = g(1- d/R)

⇒ 1- 2h/R = 1- d/R

⇒ 2h/R = d/R

⇒ 2h = d

⇒ 2h = 80 Km            

⇒ h = 40 Km (Ans.)