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Inside a fixed sphere of radius R and un...

Inside a fixed sphere of radius `R` and uniform density `rho`, there is spherical cavity of radius `(R )/(2)` such that surface of the cavity passes through the centre of the sphere as shown in figure. A particle of mass `m_(0)` is released from rest at centre `B` of the cavity. Calculate velocity with which particle strikes the centre `A` of the sphere. Neglect earth's gravity. Initially sphere and particle are at rest.

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