Respuesta :

Answer:

The wavelength is  [tex]\lambda = 886 \ nm[/tex]

Explanation:

From the question we are told that

   The  energy band gap is  [tex]E = 1.4 eV[/tex]

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

      [tex]E = \frac{hc}{\lambda }[/tex]

Where  h is the Planck's  constant with values

     [tex]h = 4.1357 * 10^{-15} eV[/tex]

and  c is  the speed of light with values  [tex]c = 3*10^{8} \ m/s[/tex]

So  

     [tex]\lambda = \frac{hc}{E}[/tex]

substituting values

    [tex]\lambda = \frac{4.1357 *10^{-15} * 3.0 *10^{8}}{1.4}[/tex]

  [tex]\lambda = 886 \ nm[/tex]