Calculate the kinetic energy of the electron if the photon energy received by a silicon atom is 4.2eV and the work function of an electron present in the silicon atom is 1.1eV

1 answer

The kinetic energy (KE) of the emitted electron can be calculated using the photoelectric effect formula, which is given by:

\[ KE = E_{photon} - \phi \]

where:

  • \(KE\) is the kinetic energy of the electron,
  • \(E_{photon}\) is the energy of the incoming photon, and
  • \(\phi\) is the work function of the material.

In this case:

  • \(E_{photon} = 4.2 , eV\)
  • \(\phi = 1.1 , eV\)

Now, substituting in the values:

\[ KE = 4.2 , eV - 1.1 , eV \]

Calculating:

\[ KE = 3.1 , eV \]

Thus, the kinetic energy of the electron is \(3.1 , eV\).