1.

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

Answer»

`(H)/(R )=SQRT(3)`
`(h)/(R )=(1)/sqrt(3)`
`(h)/(R )=3`
`(h)/(R )=(1)/(3)`

Solution :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`


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