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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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The moment of inertia of a uniform rod about a perpendicular axis passing through one end is I1{I_1}. The same rod is bent into a ring and its moment of inertia about a diameter is I2{I_2}. Then I1I2\frac{{{I_1}}}{{{I_2}}} is
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Correct option: D
8π23\frac{{8{\pi ^2}}}{3}
The correct answer is D (8π23\frac{{8{\pi ^2}}}{3}) because the ratio of the moment of inertia of a rod about one end to the moment of inertia of a ring about its diameter is I1I2=8π23\frac{{{I_1}}}{{{I_2}}} = \frac{{8{\pi ^2}}}{3}.

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