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JEE Mains · Physics · STD 12 - 5. Magnetism and matter

Two short magnetic dipoles \({m}_{1}\) and \({m}_{2}\) each having magnetic moment of \(1\, {Am}^{2}\) are placed at point \({O}\) and \(P\) respectively. The distance between \(OP\) is \(1\, meter.\) The torque experienced by the magnetic dipole \({m}_{2}\) due to the presence of \({m}_{1}\) is ...... \(\times 10^{-7}\, {Nm}\)

  1. A \(1\)
  2. B \(5\)
  3. C \(7\)
  4. D \(8\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1\)

Step-by-step Solution

Detailed explanation

\(\vec{\tau}=\overrightarrow{{M}}_{2} \times \overrightarrow{{B}}_{1}\) \(\tau={M}_{2} {B}_{1} \sin 90^{\circ}\) \(=1 \times \frac{\mu_{0}}{4 \pi} \frac{{M}_{1}}{(1)^{3}} 1\) \(=10^{-7} {N} \cdot {m}\)
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