Question

2.82. The linear attenuation coefficient of water strongly depends on the wavelength; e.g. for the violet light with 400 nm wavelength it is 0.02 m$^{-1}$ while for the red light with 700 nm wavelength it is 0.8 m$^{-1}$. Let us suppose that the intensity of the two components in the incident ray is equal. a) What will be the ratio of the violet and red intensities at 4 m depth? b) At what depth will the ratio of the violet and red intensities be 100:1?

          2.82. The linear attenuation coefficient of water strongly depends on the wavelength; e.g. for the violet light with 400 nm wavelength it is 0.02 m$^{-1}$ while for the red light with 700 nm wavelength it is 0.8 m$^{-1}$. Let us suppose that the intensity of the two components in the incident ray is equal.
a) What will be the ratio of the violet and red intensities at 4 m depth?
b) At what depth will the ratio of the violet and red intensities be 100:1?

2.82. The linear attenuation coefficient of water strongly depends on the wavelength; e.g. for the violet light with 400 nm wavelength it is 0.02 m^-1 while for the red light with 700 nm wavelength it is 0.8 m^-1. Let us suppose that the intensity of the two components in the incident ray is equal.
a) What will be the ratio of the violet and red intensities at 4 m depth?
b) At what depth will the ratio of the violet and red intensities be 100:1?

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University Physics with Modern Physics

Hugh D. Young 14th Edition

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06/28/2022

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2.82. The linear attenuation coefficient of water strongly depends on the wavelength; e.g. for the violet light with a 400 nm wavelength, it is 0.02 m^-1, while for the red light with a 700 nm wavelength, it is 0.8 m^-1. Let us suppose that the intensity of the two components in the incident ray is equal. a) What will be the ratio of the violet and red intensities at a depth of 4 m? b) At what depth will the ratio of the violet and red intensities be 100:1?