JEE (Advanced) 2012 Paper-1 Question 1

Question 1

Athin uniform rod, pivoted at O,is rotating in the horizontal plane with constant angular speed $$\omega$$, as shownin the figure. At time t = 0, a small insect starts from O and moves with constant speedv with respect to the rod towardsthe other end. It reaches the end of the rod at t = T and stops. The angular speed of the system remains $$\omega$$ throughout. The magnitude of the torque $$(\mid \overrightarrow{\tau} \mid)$$ on the system about O, as a function of time is best represented by which plot ?

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