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A body is tied up a string of length l a...

A body is tied up a string of length l and rotated in vertical circle at minimum speed. When it reaches at highest point string breaks and body moves on a parabolic path in presence of gravity according to fig. in the plane of point A, value of horizontal range AC will be

A

I

B

2I

C

`sqrt(2)I`

D

`2sqrt(2)I`

Text Solution

Verified by Experts

The correct Answer is:
B
Minimum velocity at B
`v_(B) = sqrt(gl)`
Range ( R) = `v_(B) sqrt((2h)/g) = sqrt(gl) sqrt((2(2l))/g) rArr R = 2l`
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