Question
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
Answers
GPT-4o mini
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 \(3.1 \, eV\).
\[
KE = E_{photon} - \phi
\]
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 \(3.1 \, eV\).