A uniform metallic rod rotates about its perpendicular bisector w… - Vidyadip

MCQ

A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated uniformly to raise its temperature slightly:

A
Its speed of rotation increases.
B
Its speed of rotation decreases.
C
Its speed of rotation remains same.
D
Its speed increases because its moment of inertia increases.

✓

Answer

Its speed of rotation decreases.

Explanation:

On heating a uniform metallic rod its length will increase so moment of inertia of rod increased from I₁ to I₂ (i.e., I₁ < I₂). Due to law of conservation of angular momentum,

$\text{I}_1\omega_1=\text{I}_2\omega_2$

$\because\ \text{I}_1<\text{I}_2\Rightarrow\omega_1>\omega_2,$ so angular speed decreases.

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