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A rod of mass M and length $l$ is falling vertically downwards. A particle of m is projected with V₀ at t = 0 at an angle $α$ with horizontal and it strikes the rod perpendicularly at $P (at t = t_{1})$ and comes to rest. The rod strikes the ground at t = t2 . The angular
velocity of rod about its centre of mass (O)

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remains constant and is non – zero for t = t₁ to t₂

keeps on increasing from t₁ to t₂

remains constant and is zero for t = t₁ to t₂

keeps on decreasing for t₁ to t₂

answer is C.

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Detailed Solution

After collision, the rod starts rotating about its centre of mass. Now the torque of mg about the centre of mass = 0, hence $ω$ is constant

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