A thin uniform rod (X) of mass M and length L is pivoted at a hei… | JEE Main 2026 Physics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 2Theorems of M.I (Parallel & Perpendicular Axis)

A thin uniform rod ( $X$ ) of mass $M$ and length $L$ is pivoted at a height $\left(\dfrac{L}{3}\right)$ 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 _____. ( $g$ = gravitational acceleration)

A thin uniform rod of length L stands vertically on a table, pivoted at a point located one-third of the rod length above the table, then falls to a horizontal position on the tabletop.

A
$\sqrt{\dfrac{3g}{2L}}$
B
$\dfrac{3}{\sqrt{2}} \sqrt{\dfrac{g}{L}}$
C
$\sqrt{\dfrac{3g}{L}}$
D
$\dfrac{1}{\sqrt{2}} \sqrt{\dfrac{g}{L}}$

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