Easy MCQ +4 / -1 PYQ · JEE Mains 2021

An electron of mass me and a proton of mass mp = 1836 me are moving with the same speed. The ratio of their de Broglie wavelength ${{{}^\lambda electron} \over {{}^\lambda proton}}$ will be :

  1. A 1
  2. B 1836 Correct answer
  3. C ${1 \over {1836}}$
  4. D 918

Solution

Given mass of electron = m<sub>e</sub><br><br>Mass of proton = m<sub>p</sub><br><br>$\therefore$ given m<sub>p</sub> = 1836 m<sub>e</sub><br><br>From de-Broglie wavelength<br><br>$\lambda = {h \over p} = {h \over {mv}}$<br><br>${{{\lambda _e}} \over {{\lambda _p}}} = {{{m_p}} \over {{m_e}}}$<br><br>$= {{1836{m_e}} \over {{m_e}}}$<br><br>${{{\lambda _e}} \over {{\lambda _p}}} = 1836$

About this question

Subject: Physics · Chapter: Dual Nature of Matter and Radiation · Topic: de Broglie Hypothesis

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