When a certain photoelectric material is illuminated with red light (λ=700 nm) and then blue lig

step 1 In this question, we have a photoelectric effect experiment. So we have a material. First we shi

When a certain photoelectric material is illuminated with...

When a certain photoelectric material is illuminated with red light $(\lambda=700 \mathrm{nm})$ and then blue light $(\lambda=400 \mathrm{nm}),$ it is found that the maximum kinetic energy of the photoelectrons resulting from the blue light is twice that from red light. What is the work function of the material?

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Key Concepts

Photoelectric Effect

The photoelectric effect refers to the emission of electrons from a material when it is exposed to light of sufficient frequency. This phenomenon demonstrates that light has particle-like properties and that each photon must have enough energy to overcome the binding energy of electrons in the material.

Einstein’s Photoelectric Equation

Einstein’s photoelectric equation, expressed as KE_max = hf - ?, relates the maximum kinetic energy of the emitted electrons (KE_max) to the energy of the incident photon (hf) minus the work function (?) of the material. This equation is central to understanding the quantitative aspects of the photoelectric effect.

Work Function

The work function is the minimum energy required to remove an electron from the surface of a material. It is a material-specific property that plays a crucial role in the photoelectric effect, as only photons with energies exceeding this value can result in electron emission.

Relationship Between Wavelength and Photon Energy

The relationship between wavelength and photon energy is given by E = hc/?, where h is Planck’s constant and c is the speed of light. This concept is essential for analyzing how varying the wavelength of incident light affects the energy of the photons and subsequently the kinetic energy of the emitted electrons.

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