Inside a fixed sphere of radius R and uniform density ρ, there is spherical cavity of radius R2 such that surface of the cavity passes through the centre of the sphere as shown in figure. A particle of mass m is released from rest at centre B of the cavity. Calculate velocity with which particle strikes the centre of the sphere. Neglect earth's gravity. Initially sphere and particle are at rest.

Inside a fixed sphere of radius R and uniform density ρ, there is sph

1.	Inside a fixed sphere of radius R and uniform density ρ, there is spherical cavity of radius R2 such that surface of the cavity passes through the centre of the sphere as shown in figure. A particle of mass m is released from rest at centre B of the cavity. Calculate velocity with which particle strikes the centre of the sphere. Neglect earth's gravity. Initially sphere and particle are at rest.
Answer» Inside a fixed sphere of radius $R$ and uniform density $ρ$ , there is spherical cavity of radius $\frac{R}{2}$ such that surface of the cavity passes through the centre of the sphere as shown in figure. A particle of mass $m$ is released from rest at centre $B$ of the cavity. Calculate velocity with which particle strikes the centre of the sphere. Neglect earth's gravity. Initially sphere and particle are at rest.

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