A small mass $m$ is attached to a massless string whose other end is fixed at $P$ as shown in the figure. The mass is undergoing circular motion is the $x-y$ plane with centre at $O$ and constant angular speed $\omega$. If the angular momentum of the system, calculated about O and P are denoted by $\overrightarrow{\mathrm{L}}_O$ and $\overrightarrow{\mathrm{L}}_P$ respectively, then
Select the correct option:
A
$\overrightarrow{\mathrm{L}}_{\mathrm{O}}$ and $\overrightarrow{\mathrm{L}}_{\mathrm{P}}$ do not vary with time.
B
$\overrightarrow{\mathrm{L}}_{\mathrm{O}}$ varies with time while $\overrightarrow{\mathrm{L}}_{\mathrm{P}}$ remains constant.
C
$\overrightarrow{\mathrm{L}}_{\mathrm{O}}$ remains constant while $\overrightarrow{\mathrm{L}}_{\mathrm{P}}$ varies with time.
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