1. Understand the Relationship
The energy (E) of a photon is directly proportional to its frequency (f) and inversely proportional to its wavelength (λ). This relationship is described by the following equation:
E = h * f = (h * c) / λ
Where:
* E is the energy of the photon (in Joules)
* h is Planck's constant (6.626 x 10^-34 J·s)
* f is the frequency of the photon (in Hertz)
* c is the speed of light (3 x 10^8 m/s)
* λ is the wavelength of the photon (in meters)
2. Convert Wavelength to Meters
2.35105 nm = 2.35105 x 10^-9 m
3. Calculate the Energy
E = (h * c) / λ
E = (6.626 x 10^-34 J·s * 3 x 10^8 m/s) / (2.35105 x 10^-9 m)
E ≈ 8.47 x 10^-17 J
4. Express in Electron Volts (eV)
It's common to express photon energies in electron volts (eV). 1 eV is equal to 1.602 x 10^-19 J.
E ≈ (8.47 x 10^-17 J) / (1.602 x 10^-19 J/eV)
E ≈ 529 eV
Therefore, gamma-ray photons with a wavelength of 2.35105 nm have an energy of approximately 8.47 x 10^-17 J or 529 eV.
