A proton and an α-particle are accelerated, using the same potential difference. How are the de Broglie wavelengths λp and λa related to each other?
A proton and an α-particle are accelerated, using the same potential difference. How are the de Broglie wavelengths λp and λa related to each other?

The proton and α-particle are accelerated at the same potential difference.

λ = h/√2mqv

λ is proportional to 1/√mq

λp/ λa = √maqa/mpqp = √8

Hence,  proton wavelength is √8 times α-particle. wavelength