A beam of white light passes through a uniform thickness of...

A beam of white light passes through a uniform thickness of air. If the intensity of the scattered light in the middle of the green part of the visible spectrum is $I$, find the intensity (in terms of $I$) of scattered light in the middle of (a) the red part of the spectrum and (b) the violet part of the spectrum. Consult Table 32.1.

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Key Concepts

Visible spectrum wavelength ranges

The visible spectrum consists of wavelengths roughly from 400 nm to 700 nm, with violet near the lower end and red near the higher end. Recognizing these wavelength ranges allows one to apply the inverse fourth power law to estimate the relative scattering intensities for different colors within the spectrum.

Wavelength dependence of scattering intensity

A key aspect of Rayleigh scattering is that the intensity of scattered light is proportional to the inverse fourth power of the wavelength (I ? 1/?^4). This means that even small differences in wavelength can result in large changes in scattering intensity, which is essential for comparing the scattering of light at different parts of the visible spectrum.

Rayleigh scattering

Rayleigh scattering describes the scattering of light by particles much smaller than the wavelength of light. It explains why shorter wavelengths (such as violet) are scattered more than longer wavelengths (such as red) when white light passes through a medium like air, accounting for phenomena such as the blue color of the sky.

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