Photons of wavelength 350 nm are incident on a metal plate in a photocell and electrons are eje

step 1 For this exercise, we have a light of 350 nanometers of wavelength shining on a certain metal pl

Photons of wavelength 350 nm are incident on a metal plate...

Photons of wavelength $350 \mathrm{~nm}$ are incident on a metal plate in a photocell and electrons are ejected. A stopping potential of $1.10 \mathrm{~V}$ is able to just prevent any of the ejected electrons from reaching the opposite electrode. What is the maximum wavelength of photons that will eject electrons from this metal?

Key Concepts

Stopping Potential

The stopping potential is the minimum reverse or retarding potential needed to stop even the most energetic photoelectrons from reaching the opposite electrode in a photocell. This potential is directly related to the maximum kinetic energy of the emitted electrons, and by measuring it one can determine the energy balance in the photoelectric effect.

Photon Energy and Its Relationship with Wavelength

Photon energy is given by the relation E = hc/?, where h is Planck's constant, c is the speed of light, and ? is the wavelength of the light. This relationship is central to understanding how changes in wavelength affect the energy of incident photons, and consequently, determine whether the energy is sufficient to overcome the work function and eject electrons.

Photoelectric Effect

The photoelectric effect refers to the phenomenon in which electrons are emitted from a material, usually a metal, when light of sufficient energy strikes its surface. This process is a key demonstration of the particle nature of light, showing that light consists of photons, each carrying a quantized amount of energy that must exceed a certain threshold to liberate an electron from the material.

Work Function

The work function is the minimum energy required to remove an electron from the surface of a material. It is an intrinsic property of the material and determines the threshold frequency or wavelength of the incident light needed for the photoelectric effect to occur. Any photon with energy below this threshold will not successfully eject electrons regardless of its intensity.

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