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JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism

एक इलेक्ट्रॉन एक प्रोटॉन एवं एक अल्फा कण किसी एकसमान चुम्बकीय क्षेत्र \(B\) में क्रमशः \(r_{e}, r_{p}\) एवं \(r_{\alpha}\) त्रिज्या की गोलाकार कक्षा में घूम रहे हैं। \(r_{e^{\prime}} r_{p}\) एवं \(r_{\alpha}\) के बीच संबंध होगा

  1. A \(r_e < r_p\) \(=\) \(\;{r_\alpha }\)
  2. B \(r_e < r_p\) \( <\) \(\;{r_\alpha }\)
  3. C \(r_e < \) \(\;{r_\alpha }\) \(< r_p\)
  4. D \(r_e > r_p\)  \(=\) \(\;{r_\alpha }\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(r_e < r_p\) \(=\) \(\;{r_\alpha }\)

Step-by-step Solution

Detailed explanation

As we know, radius of circular path in magnetic field \(\mathrm{r}=\frac{\sqrt{2 \mathrm{Km}}}{\mathrm{qB}}\) For electron, \(\mathrm{r}_{\mathrm{e}}=\frac{\sqrt{2 \mathrm{Km}_{\mathrm{e}}}}{\mathrm{eB}}.........(i)\) For proton,…
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