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(C) The dispersive power $\omega$ of a lens is defined as the ratio of the difference in focal lengths for red and blue light to the mean focal length

Vedclass · Accepted Answer

$14/205$

Vedclass · Answer

(C) The dispersive power $\omega$ of a lens is defined as the ratio of the difference in focal lengths for red and blue light to the mean focal length (yellow light).Given:Focal length for blue light,$f_v = 0.20 \ m$Focal length for yellow light,$f_y = 0.205 \ m$Focal length for red light,$f_r = 0.214 \ m$The formula for dispersive power is $\omega = \frac{f_r - f_v}{f_y}$.Substituting the values:$\omega = \frac{0.214 - 0.200}{0.205} = \frac{0.014}{0.205} = \frac{14}{205}$.

$A$ parallel beam of white light falls on a convex lens. Images of blue,yellow,and red light are formed on the other side of the lens at distances of $0.20 \ m$,$0.205 \ m$,and $0.214 \ m$ respectively. The dispersive power of the material of the lens will be:

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