Proton ( P ) and electron ( e ) will have same de-Broglie wavelength when the ratio of their momentum is…

Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, mp=1849 me)
  1. 1 : 1
  2. 1 : 1849
  3. 1 : 43
  4. 43 : 1

Solution

The De Broglie wavelength is λ=hmv

The momentum is given by p=mv

The momentum of proton is pp=mpvp

The momentum of electron is  p'=meve

Since h is the Planck's constant and it is given that both wavelengths are same, i.e.

λp=λe, so pp=p'.

Asked in: JEE Main 2023 (08 Apr Shift 1)

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