To calculate the kinetic energy of the electron after it absorbs the photon, we can use the following formula derived from the photoelectric effect:
\[ \text{Kinetic Energy (KE)} = \text{Photon Energy} - \text{Work Function} \]
Given:
- Photon Energy = 4.2 eV
- Work Function = 1.1 eV
Now, substituting the values into the formula:
\[ \text{KE} = 4.2 , \text{eV} - 1.1 , \text{eV} \] \[ \text{KE} = 3.1 , \text{eV} \]
Thus, the kinetic energy of the electron after absorbing the photon is 3.1 eV.