Explanation Bohr’s model of hydrogen gives the explanation of the hydrogen spectrum in terms of electrons absorbing and emitting photos for the change of energy levels. Write the expression for the change in energy level. Δ E = h c λ (1) Here, Δ E is the change in energy. h is the Planck’s constant. c is the speed of light in vacuum. λ is the wavelength. Write the expression for change in energy by Bohr model. Δ E = − 13.6 ( Z − 1 ) 2 ( 1 n ' 2 − 1 n 2 ) eV (2) Here, Z is the atomic number. Δ E is the change in energy. n is the shell for higher energy level. n ' is the shell for lower energy level. For K α X-ray, the energy transition is from K-shell to L-shell. Substitute, 1 for the value of n ' , 2 for the value of n , and 28 for the value of Z in equation (2). Δ E = − 13.6 ( 28 − 1 ) 2 ( 1 1 − 1 4 ) eV = 9914.4 ( 1 4 − 1 1 ) eV = − 7435

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Chapter 31, Problem 60PCE

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The wavelength of the Kα X-ray in Nickel by Bohr model.

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Chapter 31, Problem 59PCE

Chapter 31, Problem 61PCE

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The wavelength of the K α X-ray in Nickel by Bohr model.

Solution Summary: The author explains the hydrogen spectrum in terms of electrons absorbing and emitting photos for the change of energy levels.

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