Question

A photon, an electron and an uranium nucleus all have the same wavelength. The one which has the minimum energy ?

• A. Is the photon
• B. Is the electron
• C. Is the uranium nucleus
• D. Depends upon the wavelength and the prperties of the particle

Answer 1

The correct option is C Is the uranium nucleus

$\lambda =\frac{h}{mv}=\frac{h}{\sqrt{2mE}}:\therefore E=\frac{h^2}{2m{\lambda }^2}$
$\lambda$ is same for all, so $E\propto \frac{1}{m}$. Hence energy will be maximum for particle with lesser mass.

and uranium mass is higher than others so, it's energy is minimum.