Q. If a proton and electron have the same de Broglie wavelength, then

A) Kinetic energy of electron < kinetic energy of proton
B) Kinetic energy of electron = kinetic energy of proton
C) Momentum of electron > momentum of proton
D) Momentum of electron = momentum of proton
Explanation

(d) De Broglie wavelength, $\lambda = \frac{h}{p}$
Where $p$ is the momentum of the particle
For electron $\lambda_{e} = \frac{h}{p_{e}}$
For proton $\lambda_{p} = \frac{h}{p_{p}}$
As $\lambda_{e} = \lambda_{p}$ [Given]
$\Rightarrow p_{e} = p_{p}$
Or Momentum of electron = Momentum of proton

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.