Atomic StructureHard

Question

The wavelength of the Kα line for an element of atomic number 57 is λ. What is the wavelength of kα line for the element of atomic number 29?

Options

A.λ
B.
C.
D.λ/4

Solution

$\frac{\lambda_{2}}{\lambda_{1}} = \left( \frac{z_{1} - b}{z_{2} - b} \right)^{2} \Rightarrow \frac{\lambda_{2}}{\lambda} = \left( \frac{57 - 1}{29 - 1} \right)^{2} \Rightarrow \lambda_{2} = 4\lambda$

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