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Suppose a vertical tunnel is along the diameter of earth (here earth is assumed to be a sphere of uniform mass density ρ). If a body of mass m is thrown in this tunnel, its acceleration at a distance y from the centre is given by

a
4π3 Gρym
b
34πρy
c
43πρy
d
43πGρy

detailed solution

Correct option is D

a=g'=g1-hR=gR-hR=gR·y  (∵R-h=y)=GMR2R·y=GR343πR3ρ·y=43πρGy

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