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Assuming earth to be a sphere of a uniform density what is the value of gravitational acceleration in a mine 100 km below the earth's surface (Given R = 6400 km)

a
9.66 m/s2
b
7.64  m/s2
c
5.06 m/s2
d
3.10 m/s2

detailed solution

Correct option is A

Acceleration due to gravity at depth d, g' = g[1-dR]=g[1-1006400] = 9.8[1-164] = 9.8×6364 = 9.66 m/s2

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