A bullet of mass `m` is fired upward in a direction of angle of projection `60^@` with an initial velocity `u`. The angular momentum of this vullet when it is crossing highest point with respect to point of projection is

Options

A. `(2m u^(3))/(5g)`
B. `(3m u^(3))/(8g)`
C. `(2m u^(3))/(9g)`
D. `(3m u^(3))/(16 g)`

Answer

D

Explanation

Angular momentum about a point `P(x,y)` with respect to the point of projection is
`L=m[ucos theta][(u^(2)sin^(2)theta)/(2g)]=(3mu^(2))/(16 g) ( :' theta=60^(@))`