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The height at which the acceleration due...

The height at which the acceleration due to gravity becomes `(g)/(9)` (where g =the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, is :

A

`2 R`

B

`R/(sqrt(3))`

C

`R/2`

D

`sqrt(2) R`

Text Solution

Verified by Experts

The correct Answer is:
4

Acceleration due to gravity at height `h` from earth surface.
`g'=g/((1+h/R)^(2))`
`g/9=g/((1+h/R)^(2))`
`impliesh=2R`
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