Final answer:
The wavelength of the light emitted by a laser diode with 3.2eV energy is approximately 638 nm.
Step-by-step explanation:
The wavelength of light emitted by a laser diode can be found using the formula:
Wavelength = (Speed of Light) / (Frequency)
Since we know the energy of the photons emitted by the laser diode is 3.2eV, we can use the equation:
Energy = Planck's Constant * Frequency
Combining these two equations, we can rearrange to solve for the wavelength:
Wavelength = (Speed of Light) / [(Planck's Constant * Energy)]
Plugging in the values, we get:
Wavelength = (3.00 x 10^8 m/s) / [(6.63 x 10^-34 J s) * (3.2 eV * 1.6 x 10^-19 J/eV)]
Calculating this, we find that the wavelength of the light emitted by the laser diode is approximately 638 nm.