Given the relation \( T = 2\pi\sqrt{\frac{I}{C}} \), where \( C = \frac{n\pi r^4}{2L} \), if \( T^2 \) is plotted against \( L \), what is the moment of inertia \( I \) in terms of the slope \( m \)?

University of Ilorin PHY107 2022 past question

  1. \( \frac{I}{m} = \frac{\pi r^4}{8\pi} \)
  2. \( \frac{I}{m} = \frac{\pi r^4}{4\pi} \)
  3. \( \frac{I}{m} = \frac{\pi r^4}{2\pi} \)
  4. \( \frac{I}{m} = \frac{\pi r^4}{\pi} \)

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