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PhysicsJEE Main 24 Jan 2026, Shift 2·Q6·MCQ·Moderate

Rotational Motion · Rotational dynamics

A thin uniform rod (X) of mass MM and length LL is pivoted at a height (L3)\left(\dfrac{L}{3}\right) as shown in the figure. The rod is allowed to fall from a vertical position and lie horizontally on the table. The angular velocity of this rod when it hits the table top, is . (gg = gravitational acceleration)
  1. (1)32gL\sqrt{\dfrac32\dfrac{g}{L}}
  2. (2)32gL\dfrac{3}{\sqrt2}\sqrt{\dfrac{g}{L}}
  3. (3)12gL\dfrac{1}{\sqrt2}\sqrt{\dfrac{g}{L}}
  4. (4)3gL\sqrt{\dfrac{3g}{L}}

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