How to Calculate Wavelength and Frequency of Photons

TL;DR

To calculate the wavelength of a photon, divide the speed of light by its frequency. Conversely, to find the frequency, divide the speed of light by the wavelength. Remember, as frequency increases, wavelength decreases, and unit conversions may be necessary for accurate results.

Transcript

in this video we're going to focus on a few problems that asked to find the wavelength and the frequency of a photon so let's start with this one calculate the wavelength of a photon that has a frequency of 2.5 times 10 to the 12 hertz so what equation do we need perhaps you've seen this one c is equal to lambda times nu now c is the speed of light... Read More

Key Insights

• 🙂 The wavelength of a photon is determined by dividing the speed of light by its frequency.
• 🪡 Units may need to be converted when calculating wavelength or frequency.
• ❓ Frequency and wavelength are inversely related; as one increases, the other decreases.
• 🗂️ The energy of a photon can be used to calculate its frequency by dividing the energy by Planck's constant.
• 🙂 Calculating the wavelength involves dividing the speed of light by the frequency.
• 😀 Planck's constant, represented by h, is necessary for calculating the frequency of a photon given its energy.
• 🤒 Conversion between units, such as meters to micrometers or nanometers, may be required for accurate calculations.

Questions & Answers

Q: How do you calculate the wavelength of a photon with a given frequency?

To calculate the wavelength, divide the speed of light by the frequency using the equation λ = c/ν.

Q: How can you convert meters to micrometers?

To convert meters to micrometers, multiply the value in meters by 10^6, since one micrometer is equal to 10^-6 meters.

Q: What happens to the wavelength of a photon as the frequency increases?

As the frequency increases, the wavelength of the photon decreases. They are inversely related, meaning when one increases, the other decreases.

Q: How can you calculate the frequency of a photon given its energy?

Use the equation E = hν, where E is the energy of the photon and ν is the frequency. Divide the energy by Planck's constant to find the frequency.

Summary & Key Takeaways

• To find the wavelength of a photon with a given frequency, divide the speed of light by the frequency.

• Conversion between units may be necessary, such as converting meters to micrometers.

• The frequency of a photon can be determined by dividing the speed of light by the wavelength.