a.) In what part of the EM spectrum would a photon of energy 7.7 ✕ 10−23 J be found?   b.) What is its energy in electronvolts?

College Physics
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Author:Paul Peter Urone, Roger Hinrichs
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Chapter29: Introduction To Quantum Physics
Section: Chapter Questions
Problem 40PE: (a) What is the wavelength of a photon that has a momentum of 5.001029kgm/s ? (b) Find its energy in...
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a.) In what part of the EM spectrum would a photon of energy 7.7 ✕ 10−23 J be found?

 

b.) What is its energy in electronvolts?

Expert Solution
Step 1 :Introduction

According to Planck-Einstein relation the energy of a photon is calculated by using the formula E=hν , where h=6.626×10-34 m2 kg/s is the Planck's constant , E=7.7×10-23 J is the energy of the photon and ν is the frequency of the photon.

 

The unit of energy can be converted from the unit of joules to electron volt by multiplying the value by  6.242×1018 .

Step 2 :Calculation of the frequency of the photon

Calculate the frequency of the photon by using the formula E=hν , where h=6.626×10-34 m2 kg/s is the Planck's constant , E=7.7×10-23 J is the energy of the photon and ν is the frequency of the photon.

 

E=hνν=Eh=7.7×10-23 J6.626×10-34 m2 kg/s1.162×1011 Hz

The photon will be found in the microwave region of the electro magnetic spectrum.

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