What is the Energy Ratio of Two Photons with Different Wavelengths?

In summary, the wavelength of a photon is the distance between two consecutive peaks or troughs of a wave of electromagnetic radiation and is typically measured in nanometers or meters. It is inversely proportional to the photon's energy, and shorter wavelengths have higher energy and can penetrate through materials, while longer wavelengths have lower energy and are more easily absorbed or reflected by objects. The wavelength of a photon can be measured through various methods, such as using a diffraction grating or a spectrometer, or calculated using the speed of light and its frequency or energy.
  • #1
busa428
1
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Homework Statement



Suppose one photon has a wavelength of 6770 nanometers while a second photon has a wavelength 1/6 as large. What is the ratio of the energy of the second photon divided by the first photon?



Homework Equations



Not sure.



The Attempt at a Solution



Don't know where to start.
 
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  • #2
Try one step at a time. What is the wavelength of the second photon?
 
  • #3
E = hc/λ

You don't even need the wavelengths.
 

What is the definition of "wavelength of a photon"?

The wavelength of a photon refers to the distance between two consecutive peaks or troughs of a wave of electromagnetic radiation, such as light. It is typically measured in nanometers (nm) or meters (m).

How is the wavelength of a photon related to its energy?

The wavelength of a photon is inversely proportional to its energy. This means that as the wavelength decreases, the energy of the photon increases. This relationship is described by the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.

What is the difference between the wavelength of a photon and the frequency of a photon?

The wavelength of a photon is the physical distance of a wave, while the frequency is the number of waves that pass through a given point in a second. They are inversely proportional, meaning that as the wavelength decreases, the frequency increases.

How does the wavelength of a photon affect its behavior?

The wavelength of a photon determines its color and its behavior when interacting with matter. Shorter wavelengths, such as gamma rays and X-rays, have higher energy and can penetrate through materials, while longer wavelengths, such as radio waves, have lower energy and are more easily absorbed or reflected by objects.

Can the wavelength of a photon be measured?

Yes, the wavelength of a photon can be measured through various methods, such as using a diffraction grating or a spectrometer. These instruments can separate different wavelengths of light and measure them accurately. Additionally, the wavelength of a photon can also be calculated using the speed of light and its frequency or energy.

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