First slide

X-rays

Question

The wavelength $K_{α}$ X-rays produced by the X-ray tube is $0.76 Å$ atomic number of the node material of the tube is

Moderate

A

30
B

40
C

50
D

60

Solution

$\frac{1}{λ} = Z^{2} R (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}})$
$For K_{α} line, n_{1} = 1 and n_{2} = 2$
$\begin{array}{rcl} \frac{1}{λ} & = & Z^{2} R (\frac{3}{4}) \\ Z & = & \sqrt{\frac{4}{3 λ R}} = \sqrt{\frac{4}{3 \times 0.76 \times 10^{- 10} \times 1.09 \times 10^{7}}} \approx 40 \end{array}$

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