Physics · PYQ NEET UG 2024
हिन्दीThe moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \( 2400 \text{ g cm}^2 \). The length of the \( 400 \text{ g} \) rod is nearly :
Correct answer · Option 3
\( 8.5 \text{ cm} \)
Explanation
The moment of inertia of a rod about its center is \( I = \frac{1}{12} M L^2 \). Substituting values gives \( 2400 = \frac{1}{12} (400) L^2 \implies L^2 = 72 \implies L = \sqrt{72} \approx 8.5 \text{ cm} \).