
To demonstrate:
The frequency and energy of a photon of visible light.

Answer to Problem 1QP
The frequency and energy of a photon of visible light is 6×1014 s−1_ and 3.98×10−19 J_ respectively.
Explanation of Solution
Given:
The wavelength of a visible light, λ=5×10−7 m.
Explanation:
Write the equation of frequency of a photon of green light.
ν=cλ (I)
Here, the velocity of light is c.
Determine the energy of a photon of visible light.
E=hcλ (II)
Here, the universal constant is h.
Conclusion:
Substitute 3×108 m/s for c and 5×10−7 m for λ in Equation (I).
ν=3×108 m/s5×10−7 m=6×1014 s−1
Substitute 3×108 m/s for c, 5×10−7 m for λ, and 6.63×10−34 J⋅s for h in Equation (II).
E=(6.63×10−34 J⋅s)(3×108 m/s)5×10−7 m=3.98×10−19 J
Thus, the frequency and energy of a photon of visible light is 6×1014 s−1_ and 3.98×10−19 J_ respectively.
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Chapter 19 Solutions
Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
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