A particle is projected at time $t=0$ from a point P on the ground with speed u at an angle $\theta$ with the horizontal. The angular momentum of the particle about the origin when it is at the maximum height

Question

\[\begin {array} {1 1} (a)\;u \cos \theta . \frac{u^2 \sin 2 \theta}{g} & \quad (b)\;\frac{u^3 \cos \theta. \sin 2 \theta }{2g} \\ (c)\;\frac{u^3 \cos \theta. \cos 2 \theta }{g} & \quad  (d)\;\frac{u^3 \sin 3 \theta}{2g} \end {array}\]