Practicing Success
If λe, λp and λα, be the de-Broglie wavelength of electron, proton and α-particle, respectively, then |
λp < λα < λe λe < λα < λp λe < λp < λα λα < λp < λe |
λα < λp < λe |
Considering that the question indicates if the particles have same speed or K.E or accelerating potential. (Although not mentioned in question) λ = \(\frac{h}{mv}\) or λ = \(\frac{h}{\sqrt{2m(KE)}}\) or λ = \(\frac{h}{\sqrt{2mqV}}\) In all of the above possibilities λ ∝ \(\frac{1}{\sqrt{mq}}\) And mp = 1836 me , mα = 4mp \( \sqrt{(m q)_e} < \sqrt{(m q)_p} < \sqrt{(m q)_\alpha} \) ∴ From the above relation λα < λp < λe |