A uniform cylinder has a radius \( R \) and length \( L \). If the moment of inertia of this cyl...

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A uniform cylinder has a radius \( R \) and length \( L \). If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its length, then
[AIIMS 2010; MP PET 2011]
(a) \( L=R \)
(b) \( L=\sqrt{3} R \)
(c) \( L=\frac{R}{\sqrt{3}} \)
(d) \( L=\sqrt{\frac{3}{2}} R \)
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