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Angular Momentum & its Conservation question from NEET 2025

Q15NEET 2025Easy

Angular Momentum & its Conservation

The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence? Assume the Sun to be a sphere of uniform density.

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Answer: (b)

No external torque: $I\omega$ = constant, so $T \propto I$ .
Uniform sphere, same mass: $I \propto R^2$ , so $R \to 2R$ gives $I \to 4I$ .
$T' = 4 \times 27 = 108$ days, so the answer is (b).

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