The change in the value of g at a height h about the surface of the earth is the same as at a depth d below the surface of earth. When both d and h are much smaller than the radius of earth, then which one of the following is correct?
A
d=h
B
d=2h
C
d=23h
D
d=2h
Medium
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Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is B)
Acceleration due to gravity at a height h, gh′=g(1−R2h) Acceleration due to gravity at a depth d, gd′=g(1−Rd) ∴g(1−R2h)=g(1−Rd) or R2h=Rd or d=2h.