Question

An X-ray tube is operated at $1.24millionvolt$. The shortest wavelength of the produced photon will be:

• A. ${10}^{-2}nm$
• B. ${10}^{-3}nm$
• C. ${10}^{-4}nm$
• D. ${10}^{-1}nm$

Answer 1

The correct option is B

${10}^{-3}nm$

The explanation for the correct option:

The minimum wavelength of the photon will correspond to the maximum energy due to accelerating by $eV$ volts in the tube.

Let, the shortest wavelength of the photon be ${\lambda }_{min}$

Plank's constant, $h$

The velocity of light, $c$

$\begin{array}{rcl}{\lambda }_{min}& =& hc/eV\\ & =& 1240/1.24\times {10}^6\\ & =& {10}^{-3}nm\end{array}$

Hence, option B is correct.