First slide

Law of conservation of angular momentum

Question

A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated
uniformly to raise its temperature slightly, then [AIIMS 2015]

Moderate

A

its speed of rotation increases
B

its speed of rotation decreases
C

its speed of rotation rell1ains same
D

its speed increases because its moment of inertia increases

Solution

When a metallic rod is heated, it expands. Its moment of inertia (I) about a perpendicular bisector increases. According to law of conservation of angular momentum, its angular speed (co) decreases, since $ω \propto \frac{1}{I}$

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