A thin rod of mass m and length l is free to rotate on a smooth horizontal plane about its one fixed end. When it is at rest, it receives a horizontal impulse J at its other end, at angle of `37^(@)` with the length. Choose incorrect option immediately after impact:

Options

A. Angular momentum of the rod about fixed axis of rotation is `0.6Jl`
B. Angular velocity of the rod fixed of rotation is `(1.8J)/(ml)`
C. Kinetic energy of the rod is `(0.2J^(2))/(m)`
D. Linear velocity of the centre of mass of the rod is `(9)/(10)(J)/(m)`

Answer

C

Explanation

`Jsin37^(@)l=(ml^(2))/(3)omega=L`
`K.E.=(1)/(2)Iomega^(2)`
`V=(l)/(2)omega`.