JEE Main 2017 — Rotational Motion Question with Solution
From: JEE Main 2017 (Offline)
Question
The moment of inertia of a uniform cylinder of length and radius R about its perpendicular bisector is .
What is the ratio such that the moment of inertia is minimum?
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
The volume of the cylinder V =
We know, moment of inertia of a uniform cylinder of length and radius R about its perpendicular bisector is,
[ Putting in this equation]
Here is a function of as M and V are constant.
will be maximum or minimum when = 0.
[ as ]
We know, moment of inertia of a uniform cylinder of length and radius R about its perpendicular bisector is,
[ Putting in this equation]
Here is a function of as M and V are constant.
will be maximum or minimum when = 0.
[ as ]
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This is a previous-year question from JEE Main 2017, covering the Rotational Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.