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The characteristic X-rays wavelength is related to atomic number by the relation ν = a Z - b When Z is the atomic number, a and b are Mosley's constants. If λ 1 = 2.886 Å and λ 2 = 2.365 Å corresponding to Z 1 = 55 and Z 2 = 60 respectively, the value of Z corresponding to λ = 2.660 Å is

Options

  1. A63
  2. B67
  3. C74
  4. D57

Correct answer

D. 57

Step-by-step solution

v = a ( Z − b ) c λ = a ( Z − b ) ∴ c 2.886 = a ( 55 − b ) c 2.365 = a ( 60 − b ) a = 67.5 b = 7.235 Now ,   c 2.660 = 67.5 ( Z − 7.235 ) Z = 57

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