A thin uniform rigid rod of length `l` is hinged at one end so that it can move ina 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 Maximum height attained by lower end of the rod is:
A. `(v_(0)^(2))/(3g)` for `v_(0)lt sqrt(6gl)`
B. `(3v_(0)^(2))/g` for `v_(0)lt sqrt(6gl)`
C. `2l` for `v_(0)ge sqrt(6gl)`
D. `l` for `v_(0)=sqrt(3gl)`
