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Question

A sphere of mass M and radius R2 has a concentric cavity of radius R1 as shown in figure. The force F exerted by the sphere on a particle of mass m located at a distance r from the center of sphere varies as (0 r ∞)


A

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B

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C

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D

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Solution

The correct option is B


The whole spece can be divided into three regions

(i) 0 < r < R1 F(r) = 0

(ii) R1 < r < R2 F (r) = 43 π G ρ m ( 1 - R13r2)

(iii) R2 < r < F (r) = 43 π G ρ m R23R13r2

Here, ρ is the density of matrial of the sphere


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