Question

A particle $P$ is moving along a straight line as shown in the figure. During the motion of the particle from $A$ to $B$, the angular momentum of the particle about $\text{O}$

• A. Increases
• B. Decreases
• C. Remains constant
• D. First increases and then decreases

Answer 1

The correct option is C Remains constant

As we know,
Angular momentum $\left(L\right)=mv{r}_{\perp }$
where $m$ and $v$ are constant, and $r_{\perp }$ is the perpendicular distance between the line of motion of the particle and the origin which is also constant.
$r_{\perp }$ = constant
Hence, $L$ = constant.
Angular momentum about $\text{O}$ will remain constant.