Question

A difference of $2.3eV$ separates two energy levels in an atom. What is the frequency of radiation emitted when the atom makes a transition from the upper level to the lower level?

Answer 1

Hint: The photoelectric impact is the outflow of electrons when electromagnetic radiation, like light, hits a material. Electrons produced as such are called photoelectrons. The marvel is concentrated in dense matter material science, and strong state and quantum science to draw inductions about the properties of particles, atoms and solids. The impact has discovered use in electronic gadgets specific for light identification and planned electron emanation. Einstein's thought was progressive since he brought another viewpoint at taking a gander at light as a wave, however as a molecule.
Planck's condition: \[E = hv\]

Complete answer:
Division of two energy levels in a molecule,
\[E = 2.3eV\]
\[E = 2.3 \times 1.6 \times {10^{ - 19}}\]
\[E\; = 3.68 \times {10^{ - 19}}J\]
Let ν be the recurrence of radiation discharged when the particle travels from the upper level to the lower level. We have the connection for energy as-
\[E = hv\]
${\text{v = }}\dfrac{{\text{E}}}{{\text{h}}}$
Now we can substitute the known values and on simplification we get,
${\text{v = }}\dfrac{{{\text{3}}{{.68 \times 1}}{{\text{0}}^{{\text{ - 19}}}}}}{{{\text{6}}{{.62 \times 1}}{{\text{0}}^{{\text{ - 32}}}}}}{\text{ = 5}}{{.55 \times 1}}{{\text{0}}^{{\text{14}}}}{\text{Hz}}$
Thus, the frequency of the radiation is \[5.6 \times {10^{14}}Hz\].

Note:
Electrons that are bound in iotas, atoms and solids each possess particular conditions of distinct restricting energies. At the point when light quanta convey more than this measure of energy to an individual electron, the electron might be transmitted into free space with overabundance (motor) energy that is $hv$ higher than the electron's limiting energy. The conveyance of dynamic energies along these lines mirrors the dispersion of the limiting energies of the electrons in the nuclear, sub-atomic or translucent framework: an electron radiated from the state at restricting energy ${E_B}$ is found at active energy ${E_k} = hv - {E_B}$. This dissemination is one of the principal attributes of the quantum framework, and can be utilized for additional investigations in quantum science and quantum physical science.