Q.

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

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a

4π3 Gρym

b

34πρy

c

43πρy

d

43πGρy

answer is D.

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Detailed Solution

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