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A rod of linear mass density ' \(\lambda\) ' and length ' L ' is bent to form a ring of radius 'R'. Moment of inertia of…

Q1

A rod of linear mass density ' \(\lambda\) ' and length ' L ' is bent to form a ring of radius 'R'. Moment of inertia of ring about any of its diameter is :

[JEE Main 2025, 8 Apr (Shift 1)]

a

\(\frac{\lambda {L}^{3}}{16{\pi }^{2}}\)

b

\(\frac{\lambda {L}^{3}}{12}\)

c

\(\frac{\lambda {L}^{3}}{4{\pi }^{2}}\)

d

\(\frac{\lambda {L}^{3}}{8{\pi }^{2}}\)

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