MHT CET · Physics · Magnetic Effects of Current
An electron revolving in circular orbit of radius 'r' with velocity 'V' and frequency 'v' has orbital magnetic moment 'M'. If the frequency of revolution is doubled then the new magnetic moment will be
- A \(\frac{\mathrm{M}}{4}\)
- B \(2 \mathrm{~N}\)
- C \(\mathrm{M}\)
- D \(\frac{M}{2}\)
Answer & Solution
Correct Answer
(B) \(2 \mathrm{~N}\)
Step-by-step Solution
Detailed explanation
\(M=i A=\frac{e}{t} \times \pi r^{2}\)
\(=\frac{e V}{2 \pi r} \times \pi r^{2}\)
\(=\frac{e V r}{2}=\frac{e r^{2} \omega}{2}\)
\(M \propto \omega\) \(\therefore\) if \(\omega\) is doubled, \(M\) will be doubled.
\(=\frac{e V}{2 \pi r} \times \pi r^{2}\)
\(=\frac{e V r}{2}=\frac{e r^{2} \omega}{2}\)
\(M \propto \omega\) \(\therefore\) if \(\omega\) is doubled, \(M\) will be doubled.
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