First slide

X-rays

Question

The $K_{α}$ X-rays arising from a cobalt (z : 27) target have a wavelength of 179 pm. The $K_{α}$ X-rays arising from a nickel target (z = 28) is

Easy

A

> 179 pm
B

< 179 pm
C

= 179 pm
D

None of these

Solution

$\begin{array}{l} λ_{k_{α}} \propto \frac{1}{{(Z - 1)}^{2}} \Rightarrow \frac{λ_{Ni}}{λ_{Co}} = {(\frac{Z_{Co} - 1}{Z_{Ni} - 1})}^{2} = {(\frac{27 - 1}{28 - 1})}^{2} \\ \Rightarrow l_{Ni} = {(\frac{26}{27})}^{2} \times λ_{Co} = {(\frac{26}{27})}^{2} \times 179 \\ = 165 .9 pm < 179 pm \end{array}$

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