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At what height the acceleration due to g...

At what height the acceleration due to gravity decreases by 36% of its value on the surface of the earth ?

A

`R/6`

B

`R/4`

C

`R/2`

D

`2/3 R`

Text Solution

Verified by Experts

The correct Answer is:
B
The value of acceleration due to gravity at a height h = `64/100g `
` therefore 64/100 g = (gR^2)/((R + h)^2) " or " 8/10 = (R )/( R+ h) " or " h = R/4`
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