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CUET · PHYSICS · PYQ PAPER 2023

A charge particle having charge q is moving in a circle of radius R with a uniform speed v. The associated magnetic moment \(\mu\) is given by :

  1. A qvR/2
  2. B \(q v^2 R / 2\)
  3. C \(q v R^2 / 2\)
  4. D qvR
Verified Solution

Answer & Solution

Correct Answer

(A) qvR/2

Step-by-step Solution

Detailed explanation

The magnetic moment is \(\mu=I A\). Substituting the equivalent current of the moving charge \(\left(I=\frac{q}{T}=\frac{q v}{2 \pi R}\right)\) and the area of the circle ( \(A \left.=\pi R^2\right)\) gives \(\mu=\frac{q v R}{2}\). A) \(q v R / 2\)
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