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Q.

A thick spherical shell has an inner radius R1  and an outer radius R2.  It has mass m and a uniform density. If r is the distance from the centre, then gravitational field Eg  for R1

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a

Gm2r2[r3−R13R23−R13]

b

Gm2r2[r3−R13R23−R13]

c

2Gmr2[r3−R13R23−R13]

d

Gmr2[r3−R13R23−R13]

answer is D.

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Detailed Solution

The mass of the shell fromR1  to r ism'=43π(r3−R13)ρWhere, ρ=m43π(R23−R13)Eg=Gm'r2=Gr2.43π(r3−R13).m43π(R23−R13)Or Eg=Gmr2[r3−R13R23−R13]
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