Explanation The Ritz combination rules express relationships between observed frequencies of the optical emission spectra . Write the expression for frequency of the photon. f = c λ (I) Here, f is the frequency, λ is the wavelength of light and c is the speed of light . Write the expression for frequency of the photon when energy level is changed. f = Z 2 R c ( 1 n l 2 − 1 n u 2 ) (II) Here, Z is the atomic number, R is the Rydberg constant, n l is the number lower energy state and n u is the number of upper energy state. For f ( K α ) : n l = 1 and n u = 2 . f ( K α ) = Z 2 R c ( 1 − 1 4 ) = 3 4 Z 2 R c Here, K α and K β refer to the Lyman series. For f ( K β ) : n l = 1 and n u = 3 . f ( K β ) = Z 2 R c ( 1 − 1 9 ) = 8 9 Z 2 R c For f ( L β ) : n l = 2 and n u = 3

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Prove one of the Ritz combination rule f ( K α ) + f ( L α ) = f ( K β ) .

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Prove one of the Ritz combination rule f(Kα)+f(Lα)=f(Kβ) .

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