A thin uniform rigid rod of length L is hinged at one end so that it can move in a vertical plane by rotating about a horizontal axis through upper end. The lower end is given a sharp blow and made to acquire a linear velocity` v_(o)` . Find the maximum height to which the lower end can rise.

Options

A. `2L If V_(0) gt sqrt(5gl), (V_(0)^(2))/(3g) if V_(0) lt sqrt(6gl)`
B. `2L` if `V_(0) gt sqrt(6gl) , (V_(0)^(2))/(3g) if V_(0) lt sqrt(6gl)`
C. `2L` If `V_(0) gt sqrt(6gl),(V_(0)^(2))/(3g) if V_(0) lt sqrt(5gl)`
D. `L` If ` V_(0) gt sqrt(6gl) , (V_(0)^(2))/(3g) if V_(0) lt sqrt(6gl)`

Answer

B