Chlorophyll is a photosynthetic molecule common in green...

Chlorophyll is a photosynthetic molecule common in green plants. On a per-unit-wavelength basis, its ability to absorb visible light has two peaks, at $430 \mathrm{~nm}$ and $662 \mathrm{~nm}$. (a) Find the corresponding photon energies. (b) Use these peak wavelengths to explain why plants appear green.

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Key Concepts

Electromagnetic Spectrum and Visible Light

Understanding the organization of the electromagnetic spectrum, especially the portion visible to the human eye (approximately 400 to 700 nm), is crucial. Different wavelengths within this range correspond to different colors, and determining which wavelengths are absorbed or transmitted by a substance helps explain its observed color.

Selective Absorption and Color Perception

This concept explains that the colors we perceive in objects result from the selective absorption and reflection of light. When a molecule absorbs certain wavelengths more efficiently than others, the wavelengths that are less absorbed or reflected determine the apparent color. In the context of photosynthetic organisms, the specific absorption peaks in the blue and red regions lead to the reflection of green light, which is why plants appear green.

Photon Energy and Planck's Equation

This concept revolves around the idea that the energy of a photon is inversely proportional to its wavelength, as defined by the equation E = hc/?, where h is Planck's constant and c is the speed of light. This fundamental relationship is essential for calculating the energy of light particles across different regions of the electromagnetic spectrum.

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