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The acceleration due to gravity at a he...

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth

A

`d=1/2 km`

B

`d=1 km`

C

`d=3/2`

D

d=2 km

Text Solution

Verified by Experts

The correct Answer is:
D
Gravity at a height of `h=g(1-(2h)/R)`
Gravity at a depth of `d=g(1-d/R)`
Both are equal `g((1-d/R)=g(1-(2h)/R)`
`d=2hrArrd=2km`
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