# Problem: We shine light of three different wavelengths—325 nm, 455 nm, and 632 nm —on a metal surface. We record the following observations for each wavelength, labeled A, B, and C:Observation A: No photoelectrons were observed.Observation B: Photoelectrons with a kinetic energy of 155 kJ/mol were observedObservation C: Photoelectrons with a kinetic energy of 51 kJ/mol were observedWhich observation corresponds to which wavelength of light?

###### FREE Expert Solution

For this problem, we have to determine which observation corresponds to which wavelength of light

Recall that the energy of a photon is given by:

We can see that energy and frequency are directly proportional. The energy in a transition also depends on the distance between the energy levels.

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###### Problem Details

We shine light of three different wavelengths—325 nm, 455 nm, and 632 nm —on a metal surface. We record the following observations for each wavelength, labeled A, B, and C:
Observation A: No photoelectrons were observed.
Observation B: Photoelectrons with a kinetic energy of 155 kJ/mol were observed
Observation C: Photoelectrons with a kinetic energy of 51 kJ/mol were observed

Which observation corresponds to which wavelength of light?