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The focal length of a convex lens is measured using red, green and blue lights and the values are found to be f_r , f_g and f_b
respectively. Which of the following relations is correct?

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$f_{r} < f_{g} < f_{b}$

$f_{r} = f_{g} = f_{b}$

$f_{r} > f_{g} > f_{b}$

$f_{g} > f_{b} > f_{r}$

answer is C.

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Detailed Solution

$\frac{1}{f} - (μ - 1) (\frac{1}{R_{1}} + \frac{1}{R_{2}})$
' $μ$ ' is max for violet and min. For red.
As $μ_{B} > μ_{g} > μ_{R}, so f_{r} > f_{g} > f_{b}$

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