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The acceleration due to gravity at a hei...

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

A

`d=(1)/(2) km `

B

`d=1km`

C

`d=(3)/(2)km`

D

`d=2km`

Text Solution

Verified by Experts

The correct Answer is:
D
Above earth surface
`g'=g(1-(2h)/(R_(e)))`
`Deltag'=g""(2h)/(R_(e))` ..... (1)
From (1) & (2)
d=2h
`d=2xxkm`
Below earth surface
`g'=g(1-(d)/(R_(e)))`
`Deltag=g""(d)/(R_(e))` ........ (2)
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