Verified Solution • 2025–26 Session
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QJEEM21Ph2336: JEE Main 2021 Physics - Class 11 JEEM21Ph2336 Solution: Moment of inertia (M. I.) of four bodies, having same mass and…
Moment of inertia (M. I.) of four bodies, having same mass and radius, are reported as;
I1 = M.I. of thin circular ring about its diameter,
I2 = M.I. of circular disc about an axis perpendicular to disc and going through the centre,
I3 = M.I. of solid cylinder about its axis and
I4 = M.I. of solid sphere about its diameter.
Then :
I1 = M.I. of thin circular ring about its diameter,
I2 = M.I. of circular disc about an axis perpendicular to disc and going through the centre,
I3 = M.I. of solid cylinder about its axis and
I4 = M.I. of solid sphere about its diameter.
Then :
Multiple Choice Options
- A I1 = I2 = I3 > I4
- B I1 + I3 < I2 + I4
- C I1 = I2 = I3 < I4
- D I1 + I2 = I3 + I4
Step-by-Step Verified Solution
Let M and R be the mass and radius of four bodies. Then, as per question, their moment of inertia are
I1 = ,
I2 = ,
I3 = ,
I4 =
I1 = I2 = I3 > I4
I1 = ,
I2 = ,
I3 = ,
I4 =
I1 = I2 = I3 > I4