If a photon has a wavelength of 300 nm, what is its energy?

Practice Questions

Q1
If a photon has a wavelength of 300 nm, what is its energy?
  1. 4.14 eV
  2. 6.2 eV
  3. 8.2 eV
  4. 10.0 eV

Questions & Step-by-Step Solutions

If a photon has a wavelength of 300 nm, what is its energy?
  • Step 1: Understand that we need to find the energy of a photon using its wavelength.
  • Step 2: Recall the formula for energy (E) of a photon: E = hc / λ, where h is Planck's constant and c is the speed of light.
  • Step 3: Know that h (Planck's constant) is approximately 1240 nm·eV when using wavelength in nanometers and energy in electronvolts (eV).
  • Step 4: Substitute the values into the formula: E = (1240 nm·eV) / (300 nm).
  • Step 5: Perform the division: 1240 divided by 300 equals approximately 4.13.
  • Step 6: Conclude that the energy of the photon is approximately 4.13 eV.
  • Photon Energy Calculation – The energy of a photon can be calculated using the formula E = hc / λ, where h is Planck's constant and c is the speed of light.
  • Wavelength and Energy Relationship – There is an inverse relationship between wavelength and energy; shorter wavelengths correspond to higher energy photons.
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