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A bob of mass m, suspended by a string o...

A bob of mass m, suspended by a string of length `l_1` is given a minimum velocity required to complete a full circle in a vertical plane. At the highest point, it collides elastically with another bob of mass `m` suspended by a string of length `l_2`, which is initially at rest. Both the strings are mass-less and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio `l_1//l_2` is

Text Solution

Verified by Experts

The correct Answer is:
5

`thereforesqrt(gl_(1))=sqrt(5gl_(2))`
`therefore(l_(1))/(l_(2))=5`
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