JEE Main 2017 Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main 2017

The moment of inertia of a uniform cylinder of length l and radius R about its perpendicular bisector is I. What is the ratio l/R such that the moment of inertia is minimum ?

Answer: (A)

Solution

with volume fixed, so .

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Question ID VK-008942