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

Question

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?

Answer 1

$$\frac{1}{\lambda}=\frac{k(z-1)^2}{1}$$

$$\frac{\lambda_A}{\lambda_B}=\frac{(z_B-1)^2}{(z_A-1)^2}$$

$$\frac{0.1785}{0.1537}=\frac{(z_B-1)^2}{(27-1)^2}$$

$$z_B=29$$