Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
2nd Edition
ISBN: 9780138057152
Author: John Taylor
Publisher: Benjamin Cummings
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Chapter 5, Problem 5.1P
To determine

To Find: The wavelength of the light emitted by the hydrogen and its nature.

Expert Solution & Answer
Check Mark

Answer to Problem 5.1P

  λ=1.87μm, Infrared.

Explanation of Solution

Given:

Given n=4 and n1=3

Formula used:

Rydberg formula:

  1λ=R(1n'21n2)

Where R is the Rydberg constant R=0.0110nm1

Calculation:

  1λ=R(1n'21n2)

  1λ=R(132142)

  1λ=(0.0110nm1)(19116)

  1λ=716×9×0.0110nm1

  1λ=5.3472×104nm1

  λ=1870.12nm

  λ=1.87μm

Conclusion:

Hence, the wavelength is λ=1.87μm and it lies in the infrared region.

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