Math Problem Statement
What is the energy of a photon of light whose frequency is 6.91 x 10^15 Hz?
Solution
The energy of a photon can be calculated using the equation:
where:
- is the energy of the photon,
- is Planck's constant (),
- is the frequency of the photon.
Given:
Substituting the values into the equation:
Let's calculate it:
So, the energy of the photon is approximately .
Would you like more details or have any questions?
Here are five related questions you could explore:
- What is the relationship between wavelength and frequency in light?
- How does photon energy relate to the color of visible light?
- What is the wavelength of a photon with the given frequency?
- How is the photoelectric effect related to photon energy?
- How does photon energy change with frequency?
Tip: Higher frequency photons, like X-rays and gamma rays, carry more energy than lower frequency photons, such as visible light or radio waves.
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Math Problem Analysis
Mathematical Concepts
Physics
Photon Energy
Frequency
Formulas
E = h · f (Energy of a photon formula)
Theorems
Planck's Equation
Suitable Grade Level
Grades 11-12