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A hydrogen atom is in the initial state n1 = n, where n >

Chapter 31, Problem 33P

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QUESTION:

Problem 33P

A hydrogen atom is in the initial state n1 = n, where n > 1. (a) Find the frequency of the photon that is emitted when the electron jumps to state nf − n − 1. (b) Find the frequency of the electron's orbital motion in the state n. (c) Compare your results for parts (a) and (b) in the limit of large n.

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QUESTION:

Problem 33P

A hydrogen atom is in the initial state n1 = n, where n > 1. (a) Find the frequency of the photon that is emitted when the electron jumps to state nf − n − 1. (b) Find the frequency of the electron's orbital motion in the state n. (c) Compare your results for parts (a) and (b) in the limit of large n.

ANSWER:

Step 1 of 4

Here we have to calculate the frequency of the emitted photon, the orbital frequency of the electron.

The equation for the emitted photon frequency,

The equation for orbital frequency is,

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