The moment of inertia of a uniform cylinder of length and radius about its perpendicular bisector is . What is the ratio such that the moment of inertia is minimum?
Step 1: Given Data:
Length of cylinder
Radius of cylinder
Step 2: Calculation:
Step 3: Differentiating with respect to
From the above formula
For maxima and minima
So,
Now,
Hence option A is correct.