Q. The energy of a photon of light with wavelength $5000\ \mathring{\mathrm{A}}$ is approximately $2.5\ eV.$ This way the energy of an $X$-ray photon with wavelength $1\mathring{\mathrm{A}}$ would be
A) $2.5/5000\ eV$
B) $2.5/(5000)^{2}eV$
C) $2.5 \times 5000\ eV$
D) $2.5 \times (5000)^{2}eV$
Explanation
(c) $E \propto \frac{1}{\lambda} \Rightarrow \frac{2.5}{E^{'}} = \frac{1}{5000} \Rightarrow E^{'} = (2.5) \times 5000\ eV$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.