A thin prism of angle 6 ° and refractive index for yellow light ( n _ Y )1 . 5 is combined with another prism of angle 5 ° and n _ Y = 1 . 55 . The combination produces no dispersion. The net average deviation ( )

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The formula for deviation due to a thin prism is given by, $\delta = A\left(\mu - 1\right)$ .
Therefore, for prism $1$ :
${\delta}_{1} = 6\left(1 . 5 - 1\right) = 3 °$
And for prism $2$ :
${\delta}_{2} = - 5\left(1 . 55 - 1\right) = - 2 . 75 °$
$⇒ {\delta}_{net} = {\delta}_{1} + {\delta}_{2} = 3 ° - 2 . 75 ° = 0 . 25 ° = {\left(\dfrac{1}{4}\right)}^{°}$
Therefore, $x = 4$ .

A thin prism of angle 6 ° and refractive index for yellow light ( n...

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