Answer to Question #121758 in Atomic and Nuclear Physics for Dheeraj

Question #121758
X - ray spectrum of a cobalt largest ( Z = 27 ) contains strong K(Alpha) line of wavelength
0.1785 nm and a weak line having wavelength of 0.1537 nm due to impurities. The atomic number of impurity element is?
1
Expert's answer
2020-06-16T09:36:29-0400
1λ=k(z1)21\frac{1}{\lambda}=\frac{k(z-1)^2}{1}

λAλB=(zB1)2(zA1)2\frac{\lambda_A}{\lambda_B}=\frac{(z_B-1)^2}{(z_A-1)^2}

0.17850.1537=(zB1)2(271)2\frac{0.1785}{0.1537}=\frac{(z_B-1)^2}{(27-1)^2}

zB=29z_B=29


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