A thin uniform rod of length l and mass m is swinging

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 ω. Its centre of mass rises to a maximum height of

  1. ωl/(6g)
  2. ω2l2/(2g)
  3. ω2l2/(6g)
  4. ω2l2/(3g)

Answer

(1/2)[ml2/3]ω2 = mgh

h = ω2l2/(6g)

The correct option is C.