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JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter

An electron of mass \(m _{ e }\) and a proton of mass \(m _{ p }=1836 m _{ e }\) are moving with the same speed. The ratio of their de Broglie wavelength \(\frac{\lambda_{\text {electron }}}{\lambda_{\text {proton }}}\) will be ....... .

  1. A \(1836\)
  2. B \(1\)
  3. C \(918\)
  4. D \(\frac{1}{1836}\)
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Answer & Solution

Correct Answer

(A) \(1836\)

Step-by-step Solution

Detailed explanation

\(\frac{\lambda_{ e }}{\lambda_{ p }}=\frac{\frac{ h }{ m _{ e } v }}{\frac{ h }{ m _{ p } v }}=1836\)
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