Explanation The redshift measurements of spectra from magnesium and iron are important in understanding distant galaxies. The value of K α and L α wavelengths for magnesium and iron is calculated below. Write the expression for K α wavelength. λ ( K α ) = 4 3 R ( Z − 1 ) 2 (I) Here, λ ( K α ) is the K α wavelength, R is the Rydberg constant and Z is the atomic number. Write the expression for wavelength of L α . λ ( L α ) = 36 5 R ( Z − 7.4 ) 2 (II) Here, λ ( L α ) is the L α wavelength. Conclusion: For magnesium: Substitute 12 for Z and 1.097373 × 10 7 m − 1 for R , in equation (I). λ ( K α ) = 4 3 ( 1.097373 × 10 7 m − 1 ) ( 12 − 1 ) 2 = 1.00 × 10 − 9 m =1 .00 nm Substitute 12 for Z and 1.097373 × 10 7 m − 1 for R , in equation (II). λ ( L α ) = 36 5 ( 1

Modern Physics for Scientists and Engineers

4th Edition

ISBN: 9781133103721

Author: Stephen T. Thornton, Andrew Rex

Publisher: Cengage Learning

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Chapter 4, Problem 49P

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The value of Kα and Lα wavelengths for magnesium and iron.

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The value of K α and L α wavelengths for magnesium and iron.

Solution Summary: The author calculates the value of the K_alpha wavelengths for magnesium and iron. The redshift measurements of spectra are important in understanding distant galaxies.

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The value of Kα and Lα wavelengths for magnesium and iron.

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