An electron and a proton move at the same speed.Which has a longer de-Broglie wavelength?
A)the electron
B)the proton
C)Both particles have the same wavelength.
D)Since electrons and protons are particles,it is meaningless to discuss a wavelength associated with these particles.

Question

Quizplus · Accepted Answer

According to de-Broglie hypothesis, the wavelength of a particle is inversely proportional to its momentum. As both electron and proton are moving at the same speed, the proton will have a higher momentum compared to the electron due to its higher mass. Therefore, the de-Broglie wavelength of the proton will be shorter than that of the electron. Hence, the electron has a longer de-Broglie wavelength.

An Electron and a Proton Move at the Same Speed