MHT CET · Physics · Current Electricity
The current associated with an electron of charge \(e\) moving in a circular orbit of radius \(r\) with speed \(v\) around the positively charged nucleus is given by
- A \(\frac{e r}{2 \pi v}\)
- B \(\frac{e \pi}{2 r v}\)
- C \(\frac{e v}{\pi r}\)
- D \(\frac{e v}{2 \pi r}\)
Answer & Solution
Correct Answer
(D) \(\frac{e v}{2 \pi r}\)
Step-by-step Solution
Detailed explanation
The current associated \(i\) with an electron \(e\) moving in a circular orbit of radius \(r\) with speed \(v\) around a positively charged nucleus can be written as:
\(i=\frac{\text { charge }}{\text { time period }}=\frac{q}{T}=\frac{e}{(2 \pi r) / v}=\frac{e v}{2 \pi r}\)
\(i=\frac{\text { charge }}{\text { time period }}=\frac{q}{T}=\frac{e}{(2 \pi r) / v}=\frac{e v}{2 \pi r}\)
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