The `k_alpha` X-rays of aluminium (Z = 13 ) and zinc ( Z = 30) have wavelengths 887 pm and 146 pm respectively. Use Moseley's law `sqrt v = a(Z - b)` to find the wavelength of the `K_alpha` X-ray of iron (Z = 26).

The `k_alpha` X-rays of aluminium (Z = 13 ) and zinc ( Z = 30) have wa

1.	The `k_alpha` X-rays of aluminium (Z = 13 ) and zinc ( Z = 30) have wavelengths 887 pm and 146 pm respectively. Use Moseley's law `sqrt v = a(Z - b)` to find the wavelength of the `K_alpha` X-ray of iron (Z = 26).
Answer» `sqrt(v)=a(Z-b)` implies `sqrt(c/lambda)=a(Z-b)` Aluminium: `sqrt(c/887)=a(13-b) ...(i)` Zinc: `sqrt(c/146)=a(30-b) ...(ii)` (ii)/(i) `sqrt(887/146)=(30-b)/(13-b) implies 2.5(13-b)=30-b` `b=1.4` `sqrt(c/146)=a(30-b)` `sqrt((3xx10^(8))/(146xx10^(-12))) =a(30-1.4)` `1.43xx10^(8)=a(28.6) implies a=5xx10^(7) (Hz)^(1//2)` Iron: `sqrt(c/lambda)=a(Z-b)=5xx10^(7)(26-1.4)=123xx10^(7)` `lambda=(3xx10^(8))/((123xx10^(7))^(2))=1.98xx10^(-10) m` `=198 p m`

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The `k_alpha` X-rays of aluminium (Z = 13 ) and zinc ( Z = 30) have wavelengths 887 pm and 146 pm respectively. Use Moseley's law `sqrt v = a(Z - b)` to find the wavelength of the `K_alpha` X-ray of iron (Z = 26).

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