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QJEEM23Ph7c6c: JEE Main 2023 Physics - Class 11 JEEM23Ph7c6c Solution: A uniform solid cylinder with radius R and length L has moment…

A uniform solid cylinder with radius R and length L has moment of inertia I1, about the axis of the cylinder. A concentric solid cylinder of radius R′=R2 and length L′=L2 is carved out of the original cylinder. If I2 is the moment of inertia of the carved out portion of the cylinder then I1I2= __________.

(Both I1 and I2 are about the axis of the cylinder)

Step-by-Step Verified Solution

I1=(ρπR2L)R22I_{1}=\frac{\left(\rho \pi R^{2} L\right) R^{2}}{2} \quad ( ρ\rho : density of cylinder)

I2=[ρπ(R2)2L2](R2)22∴I1I2=321

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