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A small particle of mass \( m \) is projected at an angle \( \theta \) with the \( x \)-axis with an initial velocity \( v_{0} \) in the \( x-y \) plane as shown in the figure. At a time \( \mathrm{t}\frac{\mathrm{v}_{0} \sin \theta}{\mathrm{g}} \), the angular momentum of the particle is :-
\( \mathrm{P} \)
\( (\mathrm{A})-m g v_{0} t^{2} \cos \theta \hat{j} \)
(B) \( \mathrm{mgv}_{0} \mathrm{t} \cos \theta \hat{\mathrm{k}} \)
(C) \( -\frac{1}{2} \mathrm{mgv}_{0} \mathrm{t}^{2} \cos \theta \hat{\mathrm{k}} \)
W
(D) \( \frac{1}{2} \mathrm{mgv}_{0} \mathrm{t}^{2} \cos \theta \hat{\mathrm{i}} \)
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