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Q.

Suppose a vertical tunnel is along the diameter of earth, assumed to be a sphere of uniform mass densityρ  . 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

4π3Gρym

b

34πρy

c

43πρy

d

43πGρy

answer is D.

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Detailed Solution

F=GM|my2      M|=43πy3×ρ

=G43πy3×ρy2

a=Fm=43Gπyρ

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