A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is `omega`. Its centre of mass rises to a maximum height of

Options

A. `(1)/(6)(lomega)/(g)`
B. `(1)/(2)(l^(2)omega^(2))/(g)`
C. `(1)/(6)(l^(2)omega^(2))/(g)`
D. `(1)/(3)(l^(2)omega^(2))/(g)`

Answer

C