Explanation Formula used: Consider the Balmer equation. 1 m 2 − 1 n 2 = 91.1 nm λ (1) Here, m is the final electron’s orbit. n is the initial electron’s orbit. λ is the wavelength. Explanation: Paschen series have m ( Final energy level ) = 3 , Transitions under consideration of Paschen series are 4 → 3 , 5 → 3 and 6 → 3 For 4 → 3 , Substitute 3 for m and 4 for n in equation (1), 1 3 2 − 1 4 2 = 91.1 nm λ λ = 91.1 nm ( 1 3 2 − 1 4 2 ) λ = 91.1 nm ( 1 9 − 1 16 ) λ = 91.1 nm 0.0486 Simplify the equation. λ = 1874.05 nm ≅ 1870 nm For 5 → 3 , Substitute 3 for m and 5 for n in equation (1), 1 3 2 − 1 5 2 = 91

Modified Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (3rd Edition)

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ISBN: 9780321943798

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 29, Problem 3P

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The wavelengths of first three members of Paschen series.

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Chapter 29, Problem 2P

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Chapter 29 Solutions

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The wavelengths of first three members of Paschen series.

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