Question
The work function of an electron present in the silicon atom is 1.1eV . Calculate the kinetic energy of the electron if the photon energy received by the silicon atom is 4.2eV
Answers
GPT-4o mini
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**.
\[
\text{Kinetic Energy (KE)} = \text{Photon Energy} - \text{Work Function}
\]
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**.