The band gap of indium gallium arsenide varies based on the concentration of gallium in the material. A sample of InGaAs absorbs light with a wavelength less than 1.37 microns. What is the band gap of the InGaAs sample in eV
Isn't that just E = hc/wavelength
E in joules; convert to eV.
wavelength must be converted to meters.
thank you, drbob, i got it now
To determine the band gap of the InGaAs sample in electron volts (eV), we need to convert the given wavelength to energy using the relation between energy and wavelength for photons.
The energy of a photon can be calculated using the equation:
Energy = (Planck's constant * speed of light) / wavelength
where Planck's constant is approximately 4.135667696 x 10^(-15) eV s, and the speed of light is approximately 2.998 x 10^8 m/s.
First, we need to convert the given wavelength from micrometers (µm) to meters (m):
1.37 microns = 1.37 x 10^(-6) m
Now, we can substitute the values into the equation to calculate the energy:
Energy = (4.135667696 x 10^(-15) eV s * 2.998 x 10^8 m/s) / (1.37 x 10^(-6) m)
Calculating the above expression will give us the energy in electron volts (eV), which represents the band gap of the InGaAs sample.