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If radius of earth is R, then the height...

If radius of earth is R, then the height h at which the value of 'g' becomes one fourth is ................

A

`R/4`

B

`(3R)/4`

C

R

D

`R/8`

Text Solution

Verified by Experts

The correct Answer is:
C
`implies g/4 = (GM_e)/((R_e+h)^2)`
`:. 1/4 ((GM_e)/R_e^2)=(GM_e)/((R_e+h)^2)`
`:. (R_e +h)^(2)= 4R_e^2`
`:. R_e + h = 2R_e`
` :. R_e = h`
Taking `R_e` = Radius of earth = R
h = R
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