The K α X-rays of aluminum (Z = 13) and zinc (Z = 30) have wavelengths 887 pm and 146 pm respectively. Use Moseley’s law √v = α (Z – b) to find the wavelength of the K α X-ray of iron (Z = 26).

Question

Philoid · Accepted Answer

Given:

Kα X-rays of zinc and aluminum have wavelengths, respectively

By using the formula

frequencies of Kα X-rays of zinc and aluminum, respectively are

Using Moseley’s law √v = α (Z – b),

for Aluminum,

for Zinc,

Dividing equations 1 by 2,

solving. we get

b=

Therefore

a =

for Fe(Iron), Frequency is given by

By using the formula

wavelength of Kα X-rays given out by Iron atom is given by

The Kα X-rays of aluminum (Z = 13) and zinc (Z = 30) have wavelengths 887 pm and 146 pm respectively. Use Moseley’s law √v = α (Z – b) to find the wavelength of the Kα X-ray of iron (Z = 26).

The K_α X-rays of aluminum (Z = 13) and zinc (Z = 30) have wavelengths 887 pm and 146 pm respectively. Use Moseley’s law √v = α (Z – b) to find the wavelength of the K_α X-ray of iron (Z = 26).