Q. A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy
A) Is the photon
B) Is the electron
C) Is the uranium nucleus
D) Depends upon the wavelength and the properties of the particle
Explanation
(a) $\lambda = \frac{h}{mv} = \frac{h}{\sqrt{2mE}}\ \therefore E = \frac{h^{2}}{2m\lambda^{2}}$
$\lambda$ is same for all, so $E \propto \frac{1}{m}.$ Hence energy will be maximum for particle with lesser mass
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.