Explanation Given: The moment of inertia of H 2 molecule is 4.6 × 10 − 48 kg ⋅ m 2 . Write the equation for the rotational energy levels. E l = l ( l + 1 ) ℏ 2 2 I (1) Here, E l is the rotational energy level l is the rotational quantum number ℏ is the reduced Planck’s constant The value of ℏ is 1.055 × 10 − 34 J ⋅ s . Substitute 3 for l , 1.055 × 10 − 34 J ⋅ s for ℏ and 4.6 × 10 − 48 kg ⋅ m 2 for I in equation (1) to find the energy of l = 3 level. E 3 = 3 ( 3 + 1 ) ( 1.055 × 10 − 34 J ⋅ s ) 2 2 ( 4.6 × 10 − 48 kg ⋅ m 2 ) = 12 ( 1.2098 × 10 − 21 J ) = 1.4518 × 10 − 20 J Substitute 4 for l , 1.055 × 10 − 34 J ⋅ s for ℏ and 4.6 × 10 − 48 kg ⋅ m 2 for I in equation (1) to find the energy of l = 4 level. E 4 = 4 ( 4 + 1 ) ( 1.055 × 10 − 34 J ⋅ s ) 2 2 ( 4.6 × 10 − 48 kg ⋅ m 2 ) = 20 ( 1.2098 × 10 − 21 J ) = 2.4196 × 10 − 20 J Write the equation for the separation between the energy levels corresponding to l = 3 and l = 4 . Δ E = E 4 − E 3 Here, Δ E is the difference in energy between the levels l = 3 and l = 4 Substitute 2

University Physics with Modern Physics (14th Edition)

14th Edition

ISBN: 9780321973610

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Question

Chapter 42, Problem 42.6E

To determine

The wavelength of the photon during the rotational transition of l=3 to l=4.

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Chapter 42, Problem 42.5E

Chapter 42, Problem 42.7E

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Chapter 42 Solutions

University Physics with Modern Physics (14th Edition)

Ch. 42.1 - If electrons obeyed the exclusion principle but...Ch. 42.2 - Prob. 42.2TYU Ch. 42.3 - Prob. 42.3TYU Ch. 42.4 - One type of thermometer works by measuring the...Ch. 42.5 - Prob. 42.5TYU Ch. 42.6 - Prob. 42.6TYU Ch. 42.7 - Suppose a negative charge is placed on the gate of...Ch. 42 - Van der Waals bonds occur in many molecules, but...Ch. 42 - Prob. 42.2DQ Ch. 42 - The H2+ molecule consists of two hydrogen nuclei...

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The wavelength of the photon during the rotational transition of l = 3 to l = 4 .

Solution Summary: The author explains how to determine the wavelength of the photon during the rotational transition of l=3 to

The wavelength of the photon during the rotational transition of l=3 to l=4.

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Chapter 42 Solutions