Practice Problems: Wavelength, Frequency, Energy Content of Our Quantum of Light
Key
Example
A certain photon of light has a wavelength of 422 nm. What is the frequency of the light?
c = λv
3.0 x 10^8 m/s = (422 x 10^-9 m) v
v = 7.11 x 10^14 /s
What is the energy of a quantum of light from part 1?
E = hv
= 6.626 x 10^-34 J s * (7.11 x 10^14 /s)
E = 4.71 x 10^-19 J
I.
What is the energy of a quantum of light with a frequency of 7.39 x 10^14 Hz?
E = hv
= 6.626 x 10^-34 J s * (7.39 x 10^14 /s)
E = 4.90 x 10^-19 J
What is the wavelength of the quantum of light in question 1?
c = λv
3.0 x 10^8 m/s = λ * (7.39 x 10^14 /s)
λ = 406 nm
A certain red light has a wavelength of 680 nm. What is the frequency of the light?
c = λv
3.0 x 10^8 m/s = (680 x 10^-9 m) * v
v = 4.41 x 10^14 /s
4. What is the energy of a quantum of light from question 3?
E = hv
= 6.626 x 10^-34 J s * (4.41 x 10^14 /s)
= 2.92 x 10^-19 J
5. A certain blue light has a frequency of 6.91 x 10^14 Hz. What is the wavelength of the light?
c = λv
3.0 x 10^8 m/s = λ * (6.91 x 10^14 /s)
λ = 4.34 x 10^-7 m = 434 nm
6. What is the energy of a quantum of light from question 5?
E = hv
= 6.63 x 10^-34 J s * (6.91 x 10^14 /s)
= 4.58 x 10^-19 J
7. The energy for a quantum of light is 2.84 x 10^-19 J. What is the wavelength of this light?
E = hv
2.84 x 10^-19 J = 6.626 x 10^-34 J s * v
v = 4.29 x 10^14 /s
c = λv
3.0 x 10^8 m/s = λ * (4.29 x 10^14 /s)
λ = 7.00 x 10^-7 m = 700 nm
Frequency Wavelength Energy Problems Key
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