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?
4.14 eV
6.2 eV
8.2 eV
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.