Consider the energy and speed of three different photons all traveling in a vacuum: one is red, one is green, and one is blue. a. The red photon will have the greatest energy and will also have the greatest speed. b. The blue photon will have the greatest energy and will also have the greatest speed. c. The red photon will have the greatest energy and all three photons will have the same speed. d. The blue photon will have the greatest energy and all three photons will have the same speed. e. All three photons will have the same energy and the same speed.

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### Photon Energy and Speed in a Vacuum

Consider the energy and speed of three different photons, all traveling in a vacuum: one is red, one is green, and one is blue.

a. The red photon will have the greatest energy and will also have the greatest speed.

b. The blue photon will have the greatest energy and will also have the greatest speed.

c. The red photon will have the greatest energy and all three photons will have the same speed.

d. The blue photon will have the greatest energy and all three photons will have the same speed.

e. All three photons will have the same energy and the same speed.

### Analysis

Photons are particles of light, and their energy is determined by their frequency (or wavelength). According to the equation \( E = h \nu \), where \( E \) is the photon energy, \( h \) is Planck's constant, and \( \nu \) is the frequency of the photon, photons of different colors have different energies. The speed of light in a vacuum is constant and is approximately \( 3 \times 10^8 \) meters per second.

- **Red Photon**: Lower frequency, lower energy.
- **Green Photon**: Intermediate frequency, intermediate energy.
- **Blue Photon**: Higher frequency, higher energy.

Therefore, based on these facts, the option that correctly describes the situation is:

d. The blue photon will have the greatest energy and all three photons will have the same speed.
Transcribed Image Text:### Photon Energy and Speed in a Vacuum Consider the energy and speed of three different photons, all traveling in a vacuum: one is red, one is green, and one is blue. a. The red photon will have the greatest energy and will also have the greatest speed. b. The blue photon will have the greatest energy and will also have the greatest speed. c. The red photon will have the greatest energy and all three photons will have the same speed. d. The blue photon will have the greatest energy and all three photons will have the same speed. e. All three photons will have the same energy and the same speed. ### Analysis Photons are particles of light, and their energy is determined by their frequency (or wavelength). According to the equation \( E = h \nu \), where \( E \) is the photon energy, \( h \) is Planck's constant, and \( \nu \) is the frequency of the photon, photons of different colors have different energies. The speed of light in a vacuum is constant and is approximately \( 3 \times 10^8 \) meters per second. - **Red Photon**: Lower frequency, lower energy. - **Green Photon**: Intermediate frequency, intermediate energy. - **Blue Photon**: Higher frequency, higher energy. Therefore, based on these facts, the option that correctly describes the situation is: d. The blue photon will have the greatest energy and all three photons will have the same speed.
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