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Chapter 38: Q 80P (page 1185)

Question: A spectral emission line is electromagnetic radiation that is emitted

in a wavelength range narrow enough to be taken as a single wavelength. One such emission line that is important in astronomyhas a wavelength of 21cm . What is the photon energy in the electromagnetic wave at that wavelength?

Short Answer

Expert verified

The photon energy in the electromagnetic wave is5.9渭别痴.

Step by step solution

01

Identifying the data given in the question

The wavelength of the electromagnetic wave is 位=21cm

02

Concept used to solve the question

Photon Energy:

The energy that a single photon carries is known as photon energy. Energy is inversely correlated with wavelength because it is directly proportional to the electromagnetic frequency of the photon

03

Finding the photon energy

The photon energy in the electromagnetic wave can be given as

E=hc位

Where his plank constant,c is the velocity of light, and 位is the wavelength

We know role="math" localid="1663228885797" hc=1240nm路eV

Substituting the values

E=1240nm路eV21脳107nm=5.9脳10-6eV=5.9渭别痴

Hence the photon energy in the electromagnetic wave is5.9渭别痴.

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