Answered: alculate the energy of the photon…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Calculate the energy of the photon emitted when an electron in a hydrogen atom moves from n=5 to n=3.

We will assume your answer is in the form _ . _ _ x 10 ^-19 J

If is 9.99 x 10 ^-17 J, then answer only with 9.99

Expert Solution

Step 1: Calculation of Wavelength

The wavelength of light emitted in transition from n = 5 to n = 3

$n subscript 1 space equals space 3 n subscript 2 space equals space 5$

is given by Rydberg formula,

$fraction numerator 1 over denominator space lambda space end fraction space equals space left parenthesis 109680 right parenthesis open parentheses 1 over n subscript 1 squared space minus space 1 over n subscript 2 squared close parentheses space c m to the power of negative 1 end exponent 1 over lambda space equals space left parenthesis 109680 right parenthesis open parentheses 1 over 3 squared space minus space 1 over 5 squared close parentheses space c m to the power of negative 1 end exponent 1 over lambda space equals 7799.5 space c m to the power of negative 1 end exponent space$

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