Inside a fixed sphere of radius R and uniform desnity ρ, there is a sphericfal cavity of radius R/2 such that the surface of cavity passes through the center of the sphere as shown in the figure. A particle of mass m0 is released from rest from centre B of cavity which strikes the center A of sphere with a velocity which is equal to √2πGρR2√β. Then the value of β will be.

Inside a fixed sphere of radius R and uniform desnity ρ, there is a s

1.	Inside a fixed sphere of radius R and uniform desnity ρ, there is a sphericfal cavity of radius R/2 such that the surface of cavity passes through the center of the sphere as shown in the figure. A particle of mass m0 is released from rest from centre B of cavity which strikes the center A of sphere with a velocity which is equal to √2πGρR2√β. Then the value of β will be.
Answer» Inside a fixed sphere of radius $R$ and uniform desnity $ρ$ , there is a sphericfal cavity of radius R/2 such that the surface of cavity passes through the center of the sphere as shown in the figure. A particle of mass $m_{0}$ is released from rest from centre B of cavity which strikes the center A of sphere with a velocity which is equal to $\frac{\sqrt{2 π G ρ R^{2}}}{\sqrt{β}}$ . Then the value of $β$ will be.

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