\({\lambda _{K\alpha }} \propto \frac{1}{{{{(Z - 1)}^2}}}\,\)
\(\Rightarrow \,\frac{{{\lambda _{{\text{K}}{\alpha _{\text{1}}}}}}}{{{\lambda _{{\text{K}}{\alpha _{\text{2}}}}}}} = \frac{{{{({Z_2} - 1)}^2}}}{{{{({Z_1} - 1)}^2}}}\)
\(\therefore\) \({\lambda _{{K_{{\alpha _{Cu}}}}}} = \frac{{{\lambda _{{K_{{\alpha _{{K_0}}}}}}}{{({Z_{{M_0}}} - 1)}^2}}}{{{{({Z_{Cu}} - 1)}^2}}}\)
\( = \frac{{0.71 \times {{10}^{ - 10}} \times 41 \times 41}}{{{{(29 - 1)}^2}}} = \frac{{0.71 \times {{10}^{ - 10}} \times 41 \times 41}}{{28 \times 28}}\)
\(\, \Rightarrow \,\,{({\lambda _{K\alpha }})_{Cu}} = 1.52\,\,{\text{Å}}\)