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Q.

A cavity of radius R2 is made inside a solid sphere of radius R . The centre of the cavity is located at a distance R2 from the centre of sphere. The gravitational force on a particle of mass m at a distance R2 from the centre of the sphere on the line joining both the centres of sphere and cavity is ( opposite to the centre of cavity ) [ here g=GMR2 where M is the mass of the sphere ].

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a

mg2

b

3mg8

c

mg16

d

mg4

answer is B.

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Detailed Solution

E1=ρR6ε0, Ec=−ρ(R/2)33ε0R2Enet=E1+Ec; ρ=M43πR3;ε0=14πG
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