Calculate the wavelength of the k_a line for z=31 , when a=5 10^7 ~Hz ^ 1 / 2 for a characteristic X-ray spectrum.

Step-by-step solution

Given, z=31 and a=5 10^7 ~Hz ^ 1 / 2 aligned v & =a(z-1) or v & =a^2(z-1)^2 & = (5 10^7 )^2(31-1)^2 & =25 10¹⁴ 30 30 & =2.25 10¹⁸ ~Hz & = c = c v & = 3 10^8 ~ms ⁻¹ 2.25 10¹⁸ ~Hz & =1.33 10⁻¹⁰ ~m & =1.33 Ã… aligned