First slide

X-rays

Question

The wavelength of $K_{α}$ X-rays produced by an X-ray tube is 0.76 $\overset{o}{A}$ . The atomic number of the anode material of the tube is

Moderate

A

20
B

60
C

40
D

80

Solution

The wavelength of X-ray lines is given by Rydberg Formula
$\begin{array}{l} \frac{1}{λ} = {RZ}^{2} (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}) \\ For K_{α} line, n_{1} = 1 and n_{2} = 2 \\ ∴ {[\frac{4}{3 (1 .097 \times 10^{7} m^{- 1}) (0 .76 \times 10^{- 10} m)}]}^{1 / 2} = 39 .99 \approx 40 \end{array}$

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