`N` beads identical beads are resting on a smooth horizontal wire which is circular at the end with radius `r = 0.5 m` as shown in the figure. Find the minimum velocity which should be imparted to the first bead such that `nth` bead will fall in the tank after completing full circle in vertical plane as shown in the figure. Take all the collisions between the beads elastic `(e = 1)`.

Answer

5

Explanation

Speed of the `nth` ball `=sqrt((5gr))`
Since `e=1` speed of 1st ball `=` speed of `nth` ball
`=sqrt((5gr))=5ms^(-1)`