What is the relationship between the wavelength of light and the energy of the emitted electrons in the photoelectric effect?

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Q: What is the relationship between the wavelength of light and the energy of the emitted electrons in the photoelectric effect?

Solution: The energy of the emitted electrons is inversely proportional to the wavelength of the incident light, as given by E = hc/λ.

Steps: 6

Step 1: Understand that light can behave like a wave and has a property called wavelength, which is the distance between two peaks of the wave.
Step 2: Know that when light hits a material, it can cause electrons to be emitted from that material. This is called the photoelectric effect.
Step 3: Learn that the energy of the emitted electrons depends on the light that hits the material.
Step 4: Remember the formula E = hc/λ, where E is the energy of the emitted electrons, h is Planck's constant, c is the speed of light, and λ (lambda) is the wavelength of the light.
Step 5: Realize that as the wavelength (λ) of the light increases, the energy (E) of the emitted electrons decreases. This means they are inversely related.
Step 6: Conclude that shorter wavelengths (like blue light) have higher energy, while longer wavelengths (like red light) have lower energy.