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

Options

A. x=l
B. x=2l
C. `x=sqrt(2l)`
D. `x=2sqrt(2)l`

Answer

B

Explanation

`V_(B)=sqrt(gl)`
`x=V_(B)sqrt((2xx2l)/g)=x=2l`