An achromatic prism is made by a crown glass | vedclass

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(D) For an achromatic combination,the net dispersion is zero,which implies the dispersive powers satisfy the condition: $(\mu_{v,C} - \mu_{r,C})A_C =

Vedclass · Accepted Answer

$13.5$

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(D) For an achromatic combination,the net dispersion is zero,which implies the dispersive powers satisfy the condition: $(\mu_{v,C} - \mu_{r,C})A_C = -(\mu_{v,F} - \mu_{r,F})A_F$.This rearranges to: $\mu_{r,C}A_C + \mu_{r,F}A_F = \mu_{v,C}A_C + \mu_{v,F}A_F$.Substituting the given values:$\mu_{r,C}A_C + \mu_{r,F}A_F = (1.5 	imes 19) + (1.66 	imes 6) = 28.5 + 9.96 = 38.46 \approx 38.5$.The resultant deviation for red light is given by: $\delta_r = (\mu_{r,C} - 1)A_C + (\mu_{r,F} - 1)A_F$.$\delta_r = (\mu_{r,C}A_C + \mu_{r,F}A_F) - (A_C + A_F)$.$\delta_r = 38.5 - (19 + 6) = 38.5 - 25 = 13.5^o$.

An achromatic prism is made by a crown glass prism $(A_C = 19^o)$ and a flint glass prism $(A_F = 6^o)$. If the refractive indices for violet light are $\mu_{v,C} = 1.5$ and $\mu_{v,F} = 1.66$,then the resultant deviation for the red-coloured ray will be......$^o$

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