Change in velocity of light with change in optical density

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The velocity of light is affected by changes in optical density, leading to alterations in either frequency or wavelength. The relationship between wave speed, wavelength, and frequency is defined by the equation velocity = wavelength x frequency. When light enters a medium with a different optical density, its wavelength changes according to the formula l' = l/n, where n is the index of refraction. The frequency remains constant because momentum is linked to wavelength, while energy is associated with frequency. Thus, the primary change in optical density results in a change in wavelength rather than frequency.
utkarsh009
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hey guys! we know that velocity of a wave = wavelength x frequency. and speed of light changes with change in optical density. so there must be change in either frequency or wavelength or both. which of these quantities change with change in optical density? and why?
 
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The wavelength changes by l' =l/n, where n is the (real part of the) index of refraction. The wavelength changes instead of the frequency because the momentum is given by wavelength, while energy is given by frequency.
 
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