1.

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

Answer»

`R/4`
`(3R)/4`
R
`R/8`

Solution :`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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