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Two rigid bodies with their moments of inertia in the ratio 2: 3 have same rotational kinetic energy. Then ratio of their angular momenta is

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$2 : 3$

$3 : 2$

$\sqrt{2} : \sqrt{3}$

$\sqrt{3} : \sqrt{2}$

answer is C.

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Detailed Solution

We know that $E = \frac{L^{2}}{2 I}$
As E is the same $L^{2} \propto I$ or $L \propto \sqrt{I}$
So ratio of their angular momenta is $\sqrt{2} : \sqrt{3}$
So, the correct answer is (3)

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