If the height of a point above the surface of earth increases by 1%, find the percentage change in acceleration due to gravity when height is equal to the radius of earth.
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a
1.5%
b
0.5%
c
1%
d
2%
answer is C.
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Detailed Solution
g=GMR+h2=GM x R+h-2∴∆gg=-2∆R+hR+h=-2∆hh x hR+hWhen h = R, ∆gg x 100%=-2∆hh x 100% x RR+h=-2 x 1% x 12=-1%