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Inside a uniform sphere of mass M and radius R, a cavity of radius R/3 is made in the sphere as shown.

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Escape velocity is defined for earth and particle system only

The escape velocity of a particle projected from point A is $\sqrt{\frac{88 GM}{45 R}}$

Gravitational field inside the cavity is uniform

Gravitational field inside the cavity is non-uniform

answer is A, C.

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Detailed Solution

Find at an inside point on centre to centre distance (Find is uniform)
Total energy at ‘A’ to be zero to find escape speed

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