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MHT CET 2021 (22 Sep, Shift 2) · Angular Momentum & its Conservation

Angular Momentum & its Conservation question from MHT CET 2021 (22 Sep, Shift 2)

Q44MHT CET 2021 · 22 SEP · SHIFT 2Easy

Angular Momentum & its Conservation

A particle with position vector $\vec{r}$ has a linear momentum $\vec{P}$ . Which one of the following statements is true in respect of its angular momentum 'L' about the origin?

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Answer: (b)

$\vec L = \vec r \times \vec P$ is perpendicular to both $\vec r$ and $\vec P$ , so (a) and (c) are false.
$L = rP\sin\theta$ is maximum at $\theta = 90^\circ$ and zero when parallel, so (d) is false.
So the answer is (b).

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