Question

An $\text{X-ray}$ tube is operated at $1.24$ million volt. The shortest wavelength of the produced photon will be:

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

Answer 1

The correct option is B ${10}^{-3}\text{nm}$

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

${\lambda }_{\text{min}}$ $=$ $\frac{hc}{eV}$

${\lambda }_{\text{min}}$ $=$ $\frac{1240}{1.24\times {10}^6}$

${\lambda }_{\text{min}}$ $=$ ${10}^{-3}\text{nm}$