Question

Assertion :A particle moves with a constant velocity parallel to the $x-axis$. Its angular momentum $w.r.t$ the origin will remains constant. Reason: Angular momentum is defined as $\overline{L}=\overline{r}\times \overline{P}$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

We know,

$L=r\times P=r_{perp.}P$

In this case ,

As velocity is constant, P=constant.

And the particle moves in such a way that the perpendicular distance from

the origin isn't disturbed.

Hence, L remains undisturbed as neither perpendicular distance of particle w.r.t origin changes nor the momentum changes.

Hence assertion is correct and reason is the correct explanation of the assertion.

Option $\text{A}$ is correct answer.