Calculate the kinetic energy of an electron ejected by a photon with wavelength 1.57 × 102 nm from a metal with a binding energy of 3.31 ev.

Respuesta :

The formula is simple.

Kinetic energy = Photon energy - Binding energy

In some places, binding energy is also called work function.

So, Photon energy =  [tex] \frac{hc}{\lambda} [/tex]

                               =  [tex] \frac{6.6 \times 10^{-34} \times 3 \times 10^8}{1.57 \times 10^2 \times 10^{-9}} [/tex]       (Here we multiply lambda by 10^(-9) to change nm to m)

                               =  [tex]1.261 \times 10^{-18}[/tex]  J

Change it to ev from Joule (J)
so, Photon energy = [tex]1.261 \times 10^{-18}[/tex]  J = [tex] \frac{1.261 \times 10^{-18}} {1.6 \times 10^{-19}} [/tex]
= 7.8 eV

Now, KE =  7.8 - 3.31  = 4.57 eV

Done !!!