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CUET · MATHS · PYQ PAPER 2024

Magnetic moment of a thin bar magnet is ' M '. If it is bent into a semicircular form, its new magnetic moment will be

  1. A \(M / \pi\)
  2. B \(M / 2\)
  3. C M
  4. D \(2 M / \pi\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(2 M / \pi\)

Step-by-step Solution

Detailed explanation

\(M = mL\) \(L_{arc} = L = \pi R \Rightarrow R = L/\pi\) \(L_{eff} = 2R = 2L/\pi\) \(M' = m L_{eff} = m(2L/\pi)\) \(M' = (mL)(2/\pi) = 2M/\pi\)