Question

# A stone tied to a string is rotated in a vertical circle. The minimum speed with which the stone has to be rotated in order to complete the circle :

A

B

C

D

## is independent of the length of the string

Easy
Solution
Verified by Toppr
Correct option is B)

## Let be the minimum speed required at .Apply energy conservation between point and we get              Taking point as zero potential level                  From equation , we observe that mass is cancelled on both sides. is independent of . At highest point, Tension will be zero for minimum velocity gravitational pull will provide necessary centripetal force                         .... Putting in equation We get,             is proportional to the square root of .Hence option is correct.

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