Please explain answers and show formulas used and label units Fluorescent molecu

Question

Please explain answers and show formulas used and label units

Fluorescent molecules can be used to track biomolecular events one molecule at a time.
Fluorescence is very similar to the atomic transitions studied in lecture. Consider a
fluorescent molecule where the electron that participates in fluorescence has ground state energy of
-4.6 eV. When the molecule is illuminated with light this electron is excited up to a state
with energy -2.3 eV.

3) (1 pt) When the electron is in the excited state excess charge will accumulate at points
in the molecule. If the fluorescent molecule is in a polar solvent (like water) the solvent can
help stabilize the excited state. If the excited state has an energy of -2:6 eV when the fluorescent molecule is in water, what is the wavelength of the emitted photons?

Explanation / Answer

energy emitted = hc/ lambda

or, 2.3 *1.6*10^-19 = 6.6*10^-34 * 3*10^8 / lambda

so, lambda = wavelength of the emitted photons = 5.38 * 10^-7 m

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