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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 centre of sphere varies as $(0 \leq r \leq \infty)$

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detailed solution

Correct option is B

Inside the cavity the acceleration due to gravity is zero and outside the shell it varies inversely proportional to r2 and in the annular region it increase in some non linear manner. Hence option (2) is correct

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