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 $t < \frac{{{v_0}\,\sin \,\theta }}{g}$, the angular momentum of the particle is
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 $t < \frac{{{v_0}\,\sin \,\theta }}{g}$, the angular momentum of the particle is
- [AIEEE 2010]
- A
$ - mg\,{v_0}{t^2}\,\cos \,\theta\, \hat j$
- B
$ mg\,{v_0}t\,\cos \,\theta\, \hat k$
- C
$ - \frac{1}{2}\,mg\,{v_0}{t^2}\,\cos \,\theta \,\hat k$
- D
$\frac{1}{2}\,mg\,{v_0}{t^2}\,\cos \,\theta \,\hat i$
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