JEE (Advanced) 2012 Paper-1 Question 7

Question 7

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 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 $$\overrightarrow{L_O}$$ and $$\overrightarrow{L_P}$$ respectively, then



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