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Question

The refractive indices of the material of a lens for violet, yellow and red colours of light are respectively $1.66, 1.64$ and $1.62$ . The mean focal length of the lens is $10 c m$ . Determine the chromatics aberration of the lens between the violet and the red colors.

A

$0.225 c m$

B

$0.324 c m$

C

$0.576 c m$

D

$0.625 c m$

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Solution

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Correct option is D)

Let $ω$ be the dispersive power of the material of the lens. Then, the chromatic aberration between violet and red colors is given by:
$f_{R} - f_{V} = ω \times f_{Y} = (\frac{n _{V} - n _{R}}{n _{Y} - 1}) f_{Y} = (\frac{1 . 6 6 - 1 . 6 2}{1 . 6 4 - 1}) \times 10 = 0.625 c m$

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