Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202125 FebruaryEvening Shift
Exam
JEE Main
Year
2021
Date
25 February
Shift
Evening Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2021 · 25 February · Evening Shift · Physics · Dual Nature of Matter

An electron of mass m _ e and a proton of mass m _ p = 1836 m _ e...

An electron of mass me{m}_{e} and a proton of mass mp=1836me{m}_{p} = 1836{m}_{e} are moving with the same speed. The ratio of their de Broglie wavelength λelectronλproton\dfrac{{\lambda}_{electron}}{{\lambda}_{proton}} will be :

Options

  1. A18361836
  2. B11836\dfrac{1}{1836}
  3. C918918
  4. D11

Correct answer

A. 18361836

Step-by-step solution

Given mass of electron =me= {m}_{e}
Mass of proton =mp= {m}_{p}
∴∴ given mp=1836me{m}_{p} = 1836{m}_{e}
From de-Broglie wavelength
λ=hp=hmv\lambda = \dfrac{h}{p} = \dfrac{h}{mv}
λeλp=mpme\dfrac{{\lambda}_{e}}{{\lambda}_{p}} = \dfrac{{m}_{p}}{{m}_{e}}
=1836meme= \dfrac{1836{m}_{e}}{{m}_{e}}
λeλp=1836\dfrac{{\lambda}_{e}}{{\lambda}_{p}} = 1836
Practice Dual Nature of Matter on Quantrex Academy →

More from Dual Nature of Matter

K_1 and K_2 be the maximum kinetic energies of photoelectrons emitted from a surface of a… JEE Main 2026The de Broglie wavelength for an electron accelerated through the potential difference of… JEE Main 2026Given below are two statements: one is labelled as Assertion (A) and the other is… JEE Main 2026An electron is travelling with a velocity v in free space and when it enters a medium… JEE Main 2026An electron of mass m is moving in an electric field E = -2E_0 i ( E_0 = constant > 0 )… JEE Main 2026Light source having wavelength 331 nm is used to generate photo-electrons whose stopping… JEE Main 2026Match the LIST-I with LIST-II List-I List-II A. Planck's constant I. ML^2T^ -2 B.… JEE Main 2026The de Broglie wavelength associated with an electron accelerated through a potential… JEE Main 2026 Full Dual Nature of Matter list All JEE Main PYQs