The de Broglie wavelengths of a proton and an α particle are λ and 2 λ respectively. The ratio of the…

The de Broglie wavelengths of a proton and an α particle are λ and 2λ respectively. The ratio of the velocities of proton and α particle will be :

  1. 1 : 8
  2. 1 : 2
  3. 4 : 1
  4. 8 : 1

Solution

As we know, de Broglie wavelength is given by, λ=hp=hmv

⇒v=hmλ

Therefore, 

vpvα=mαmp×λαλp

=4×2=8

Asked in: JEE Main 2024 (01 Feb Shift 1)

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