The focal length of a simple lens depends on the color

Chapter 34, Problem 16DQ

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QUESTION:

Problem 16DQ

The focal length of a simple lens depends on the color (wavelength) of light passing through it. Why? Is it possible for a lens to have a positive focal length for some colors and negative for others? Explain.

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QUESTION:

Problem 16DQ

The focal length of a simple lens depends on the color (wavelength) of light passing through it. Why? Is it possible for a lens to have a positive focal length for some colors and negative for others? Explain.

ANSWER:

Solution 16DQ

Amount to Cauchy, the wavelength of color of light and refractive index is related as:-
        
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