Atomic StructureHard

Question

The ratio of wavelengths of Kα-characteristic X-rays produced when iron (Z = 26) and scandium (Z = 21) are used as anticathode is

Options

A.26: 21
B.4: 5
C.16: 25
D.25: 16

Solution

$\sqrt{\frac{c}{\lambda}} = a(z - b)$

$\therefore\frac{\lambda_{\text{iron}}}{\lambda_{\text{scandium}}} = \frac{(21 - 1)^{2}}{(26 - 1)^{2}} = \frac{16}{25}$

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