The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is $2400\mathrm{g}{\mathrm{cm}}^{2}$. The length of the 400 g rod is nearly :

[NEET 2024]

Question

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is $2400\mathrm{g}{\mathrm{cm}}^{2}$. The length of the 400 g rod is nearly : [NEET 2024]

YESPYQ · Accepted Answer

Correct answer: a) 8.5 cm. I = 2400 g cm², M = 400 g. 2400 = (400) x L² / 12 L² = (2400 x 12) / 400 = 6 x 12 = 72 cm². L = √(36 x 2) = 6√2 cm ≈ 6 x 1.414 ≈ 8.48 cm. (NEW NCERT 11 th Page No. 114)

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \(2400\m…

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