(a) Explanation Write the equation for the z component of spin angular momentum . S z = m s ℏ (1) Here, S z is the z component of spin angular momentum m s is the spin magnetic quantum number ℏ is h 2 π where h is the Planck’s constant The lower spin state is the state with lower value of spin magnetic quantum number. Substitute 1 / 2 for m s in equation (1) to find S z of higher spin state. S z f = 1 2 ℏ Here, S z f is the z component of spin angular momentum of final state The higher spin state is the state with higher value of spin magnetic quantum number. Substitute − 1 / 2 for m s in equation (1) to find S z of final spin state. S z i = − 1 2 ℏ Here, S z i is the z component of spin angular momentum of initial state Write the equation for the change in spin angular momentum between the two states. Δ S z = S z f − S z i Here, Δ S z is the change in spin angular momentum between the two states Substitute the values of S z f and S z i in the above equation to find Δ S z (b) To determine The value of B for a wavelength of 4.20 cm .

11th Edition

ISBN: 9781323575208

Author: YOUNG

Publisher: PEARSON C

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Question

Chapter 41, Problem 41.62P

(a)

To determine

The magnetic-field magnitude required for the transition in a hydrogen atom with n=1 and l=0 to be induced by microwaves with wavelength λ.

(b)

To determine

The value of B for a wavelength of 4.20 cm.

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Chapter 41, Problem 41.61P

Chapter 41, Problem 41.63P

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Chapter 41 Solutions

UNIVERSITY PHYSICS UCI PKG

Ch. 41.1 - Prob. 41.1TYU Ch. 41.2 - Prob. 41.2TYU Ch. 41.3 - Prob. 41.3TYU Ch. 41.4 - In this section we assumed that the magnetic field...Ch. 41.5 - In which of the following situations is the...Ch. 41.6 - Prob. 41.6TYU Ch. 41.7 - Prob. 41.7TYU Ch. 41.8 - Prob. 41.8TYU Ch. 41 - Prob. 41.1DQ Ch. 41 - Prob. 41.2DQ

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The magnetic-field magnitude required for the transition in a hydrogen atom with n = 1 and l = 0 to be induced by microwaves with wavelength λ .

Solution Summary: The author explains the magnetic-field magnitude required for the transition in a hydrogen atom.

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The magnetic-field magnitude required for the transition in a hydrogen atom with n=1 and l=0 to be induced by microwaves with wavelength λ.

The value of B for a wavelength of 4.20 cm.

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Chapter 41 Solutions