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(2l)`

Answer

B

Explanation

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