To calculate the wavelength of a photon, you can use the equation:
λ = hc / E
where λ represents the wavelength, h is Planck's constant (approximately 6.626 x 10^-34 J·s), c is the speed of light (approximately 2.998 x 10^8 m/s), and E is the energy of the photon.
Given that the energy of the photon is 1 eV (electronvolt), we need to convert it to joules since the units must be consistent. The conversion factor is 1 eV = 1.602 x 10^-19 J.
Plugging the values into the equation, we have:
λ = (6.626 x 10^-34 J·s * 2.998 x 10^8 m/s) / (1.602 x 10^-19 J)
Simplifying the expression:
λ = (6.626 x 2.998) / (1.602) x 10^(-34 + 8 + 19) m
λ ≈ 1.2398 x 10^(-6) m
Therefore, the approximate wavelength of a 1 eV photon is 1.2398 micrometers (µm).