A particle is attached to the lower end ...

A particle is attached to the lower end of a uniform rod which is hinged at its other end as shown in the figure. Another identical particle moving horizontally, collides inelastically and sticks to it. The minimum speed of moving particle so that the rod with particle performs circular motion in a vertical plane will be: [length of the rod is `l`, consider masses of both particle and rod to be same]

`sqrt(10gl)`

`sqrt(20gl)`

`sqrt(70/3gl)`

`sqrt(175/3gl)`

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