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Physics · PYQ NEET UG 2024

हिन्दी

The 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 :

  1. A
    \( 20.7 \text{ cm} \)
  2. B
    \( 72.0 \text{ cm} \)
  3. C
    \( 8.5 \text{ cm} \)
  4. D
    \( 17.5 \text{ cm} \)
View Answer & Solution

Correct answer · Option C

\( 8.5 \text{ cm} \)

Explanation

The moment of inertia of a rod about its center is \( I = \frac{1}{12} M L^2 \). Substituting values gives \( 2400 = \frac{1}{12} (400) L^2 \implies L^2 = 72 \implies L = \sqrt{72} \approx 8.5 \text{ cm} \).
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