Q109 / 150 · MHT CET 2022 (07 Aug Shift 1) · Physics

A metal wire is of length $l$ has magnetic moment $M$. What is the new magnetic moment if it is bent in L-shape?

  • A
    $\frac{M}{2}$
  • B
    $2 M$
  • C
    $M$
  • Correct answer
    D
    $\frac{M}{\sqrt{2}}$

Solution

Magnetic wire of length $l$ has magnetic moment $M$, therefore $M=m l$ where, $\mathrm{m}$ is the strength of each monopole. If it is bent into $l$ shape the effective separation between the monopoles changes to $\frac{l}{\sqrt{2}}$. Therefore, new magnetic moment is: $M^{\prime}=m\left(\frac{l}{\sqrt{2}}\right)=\frac{M}{\sqrt{2}}$

Hence, the correct answer is option: 'D'.

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