A solid hemisphere and a solid cone have a common base and are made of same material. The centre of mass of the common structure coincides with the centre of the common base. If R is the radius of hemisphere and h is height of the cone, then

Options

A. `(h)/(R )=sqrt(3)`
B. `(h)/(R )=(1)/sqrt(3)`
C. `(h)/(R )=3`
D. `(h)/(R )=(1)/(3)`

Answer

C

Explanation

We have `(1)/(2)Mv^(2)=(1)/(2)kl^(2)`
`v=sqrt((k)/(M))l`
Maximum momentum `=Mv=Msqrt((k)/(M))l=sqrt(Mk)l`