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AIIMS 2013
Exam
AIIMS
Year
2013
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2013 · Physics · Magnetic Effects of Current

Relation between magnetic moment and angular velocity is

Relation between magnetic moment and angular velocity is

Options

  1. AM∝ωM \propto \omega
  2. BM∝ω2M \propto \omega^2
  3. CM∝ωM \propto \sqrt{\omega}
  4. DNone of these

Correct answer

A. M∝ωM \propto \omega

Step-by-step solution

Magnetic moment, M=IA=I(πr2)=qT×πr2M=I A=I\left(\pi r^2\right)=\frac{q}{T} \times \pi r^2(∵q=It)(\because q=I t) As ω=2πT\quad \omega=\frac{2 \pi}{T} ∴M=qωr22\therefore \quad M=\frac{q \omega r^2}{2} or M∝ωM \propto \omega
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