Calculate the wavelength of a photon with energy 2.45 eV.
Enter the numerical value in m
To calculate the wavelength of a photon, you can use the equation:
wavelength = (speed of light) / (frequency of the photon)
Since the energy of the photon is given in electron volts (eV), we need to convert it to joules (J) using the conversion factor:
1 eV = 1.602 x 10^-19 J
Given the energy of the photon as 2.45 eV, the energy in joules is:
2.45 eV × (1.602 x 10^-19 J/eV) = 3.93 x 10^-19 J
Now, we know that the energy of a photon is related to its frequency (f) by the equation:
energy = Planck's constant (h) × frequency
Since we want to find the wavelength (λ), we can rearrange the equation above to:
energy = Planck's constant (h) × (speed of light) / wavelength
Rearranging the equation, we get:
wavelength = (Planck's constant) / (energy / (speed of light))
Substituting the known values:
wavelength = (6.626 x 10^-34 J·s) / (3.93 x 10^-19 J / (3 x 10^8 m/s))
Simplifying the equation:
wavelength = (6.626 x 10^-34 J·s) / (3.93 x 10^-19 J) × (3 x 10^8 m/s)
Calculating the numerical value:
wavelength ≈ 1.27 x 10^-6 m