Two different monochromatic light sources, one yellow (580 nm) and one violet (425 nm), are used

step 1 For this exercise, we have two monochromatic light sources, one yellow, whose wavelength is 580

Two different monochromatic light sources, one yellow (580...

Two different monochromatic light sources, one yellow $(580 \mathrm{nm})$ and one violet $(425 \mathrm{nm}),$ are used in a photoelectric effect experiment. The metal surface has a photoelectric threshold frequency of $6.20 \times 10^{14} \mathrm{Hz}$. (a) Are both sources able to eject photoelectrons from the metal? Explain. (b) How much energy is required to eject an electron from the metal? (Use $h=4.136 \times$ $10^{-15} \mathrm{eV} \cdot \mathrm{s} .$

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Key Concepts

Photon Energy Calculation

Photon energy is calculated using the equation E = hf, where h is Planck's constant and f is the frequency of the light. This relation is fundamental in understanding the photoelectric effect, as it allows one to determine if a photon has sufficient energy to eject an electron based on its frequency or, equivalently, its wavelength.

Photoelectric Effect

The photoelectric effect is the phenomenon where electrons are ejected from a metal surface when it is illuminated by light of sufficient energy. The key aspect of this effect is that electrons are emitted only if the energy of the photons exceeds the work function of the metal, highlighting the particle nature of light and leading to the concept of quantized energy packets known as photons.

Threshold Frequency

The threshold frequency is the minimum frequency of light required to eject electrons from a metal surface via the photoelectric effect. It represents the boundary below which incoming photons do not possess enough energy to overcome the metal’s work function, regardless of the light's intensity.

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