Question

The energy band gap of GaAs is 1.4ev. calculate the optimum wavelength of the light for photovoltaic generation in a GaAs solar cell

Answer 1

The wavelength is
`\lambda = 886 \ nm`

Step-by-step explanation:

From the question we are told that

The energy band gap is
`E = 1.4 eV`

Generally the energy of a single photon of light emitted for an electron jump in a GaAS solar cell is mathematically represented as

`E = (hc)/(\lambda )`

Where h is the Planck's constant with values

`h = 4.1357 * 10^(-15) eV`

and c is the speed of light with values
`c = 3*10^(8) \ m/s`

So

`\lambda = (hc)/(E)`

substituting values

`\lambda = (4.1357 *10^(-15) * 3.0 *10^(8))/(1.4)`

`\lambda = 886 \ nm`