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A particle of mass $m=5$ units is moving with uniform speed $v=3 \sqrt{2}$ units in the $X Y$-plane along the line $Y=X+4$. The magnitude of the angular momentum about origin is
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$60\ units$

$\begin{aligned} & \mathrm{L}=\mathrm{mV} \perp \mathrm{r} \\ & =5 \times 3 \times 4=60 \text { units }\end{aligned}$
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