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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 in the \( \mathrm{x} \)-y plane with centre at \( \mathrm{O} \) and constant angular speed \( \omega \). If the angular momentum of the system, calculated about \( \mathrm{O} \) and \( \mathrm{P} \) are denoted by \( \overrightarrow{\mathrm{L}}_{0} \) and \( \overrightarrow{\mathrm{L}}_{\mathrm{P}} \) respectively, then
(A) \( \overrightarrow{\mathrm{L}}_{0} \) and \( \overrightarrow{\mathrm{L}}_{\mathrm{P}} \) do not vary with time.
(B) \( \overrightarrow{\mathrm{L}}_{0} \) varies with time while \( \overrightarrow{\mathrm{L}}_{\mathbf{P}} \) remains constant
(C) \( \vec{L}_{0} \) remains constant while \( \vec{L}_{\mathrm{p}} \) varies with time.
(D) \( \overrightarrow{\mathrm{L}}_{0} \) and \( \overrightarrow{\mathrm{L}}_{\mathrm{P}} \) both vary with time
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