Question

An $X$-ray tube is operated at $2$ million volt. The wavelength of the shortest wave produced will be around

• A. $1\mathring{A}$
• B. $6 \times 10^{-2}\mathring{A}$
• C. $6 \times 10^{-3}\mathring{A}$
• D. $2 \mathring{A}$

Answer 1

Answer: (C)

Here, $V = 2 \times 10^{6} V$
$\lambda_{\text{min}} = \frac{hc}{eV}$
$= \frac{6.6\times 10^{-34}\times 3\times 10^{8}}{1.6\times 10^{-19} \times 2\times 10^{6}}$
$= 6 \times 10^{-13} m$
$= 6\times 10^{-3}\mathring{A}$