College Physics : Energy Quantization

Study concepts, example questions & explanations for College Physics

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Example Questions

Example Question #1 : Energy Quantization

A laser outputs light of a single color with photon energy \displaystyle 1.4 eV. A nonlinear crystal, which halves the wavelength of light, is placed in the path of the laser beam. What is the energy of the photons exiting the crystal?

Possible Answers:

\displaystyle 1.4 eV

\displaystyle 5.6 eV

\displaystyle 0.7 eV

\displaystyle 1.0 eV

\displaystyle 2.8 eV

Correct answer:

\displaystyle 2.8 eV

Explanation:

Halving the wavelength is equivalent to doubling the frequency since for a light wave the wavelength and frequency are related by \displaystyle \lambda\nu = c, where \displaystyle c is the speed of light. The energy of a photon is \displaystyle E_\text{ph} = h\nu, where \displaystyle h is Planck's constant, so the photon energy is doubled.

Example Question #2 : Energy Quantization

A monochromatic light source is incident on a neutral density filter which decreases the light source's intensity by a factor of 3 but does not change its color. What happens to the energy of a photon in the less intense beam?

Possible Answers:

The photon energy decreases only slightly.

None of these

The photon energy increases by a factor of 3.

The photon energy decreases by a factor of 3.

The photon energy decreases by a factor of 9.

Correct answer:

None of these

Explanation:

The photon energy does not change since the color of light (and therefore the frequency of the light) does not change.

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