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(C) The angular momentum $\vec{L}$ of a particle about the origin is given by $\vec{L} = \vec{r} 	imes \vec{p} = \vec{r} 	imes (m\vec{v})$.In magnit

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remains constant

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(C) The angular momentum $\vec{L}$ of a particle about the origin is given by $\vec{L} = \vec{r} 	imes \vec{p} = \vec{r} 	imes (m\vec{v})$.In magnitude,$L = mvr \sin 	heta$,where $	heta$ is the angle between the position vector $\vec{r}$ and the velocity vector $\vec{v}$.From the geometry of the motion,$r \sin 	heta = h$,where $h$ is the perpendicular distance of the line of motion from the origin.Since the particle moves in a straight line parallel to the $x-$ axis with constant velocity $v$,both $v$ and $h$ remain constant throughout the motion.Therefore,$L = mvh = 	ext{constant}$.Thus,the angular momentum of the particle about the origin remains constant.

$A$ particle is moving along a straight line parallel to $x-$ axis with constant velocity. Its angular momentum about the origin

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