A ray incident at {15^o} on one refracting su | vedclass

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(D) The formula for the deviation produced by a prism is given by $\delta = i_1 + i_2 - A$,where $\delta$ is the angle of deviation,$i_1$ is the angle

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None of these

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(D) The formula for the deviation produced by a prism is given by $\delta = i_1 + i_2 - A$,where $\delta$ is the angle of deviation,$i_1$ is the angle of incidence,$i_2$ is the angle of emergence,and $A$ is the angle of the prism.Given values are $\delta = 55^o$,$i_1 = 15^o$,and $A = 60^o$.Substituting these values into the formula: $55^o = 15^o + i_2 - 60^o$.$55^o = i_2 - 45^o$.$i_2 = 55^o + 45^o = 100^o$.Since the angle of emergence $i_2$ must be less than the critical angle for the prism material to emerge,an angle of $100^o$ is physically impossible for a standard prism refraction scenario. Therefore,the correct option is $D$.

$A$ ray incident at ${15^o}$ on one refracting surface of a prism of angle ${60^o}$ suffers a deviation of ${55^o}$. What is the angle of emergence?

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