Question

\textbf{Help with this question } " alt="\large \textbf{Help with this question } " align="absmiddle" class="latex-formula">~
$\textsf{For an Isosceles prism of Angle A and}$ $\textsf{Refractive index}\: \sf \mu ,\textsf{ it is found that }$$\textsf{the angle of minimum deviation }\sf{ \delta_m = A.}$$\textsf{Then which of the following is/are correct}$

$\textbf{[ Multiple choice ]}$

$\textsf{(a) At minimum deviation, the incident}$$\sf{ angle \: \:i_1 }\textsf{and the retracting angle}$ $\sf{r_1}\textsf{ at the first retracting surface are}$ $\textsf{related by }\sf{ r_1 = (i_1/2) }$

$\textsf{(b) For this prism, the retracting index}$$\sf{ \mu}\textsf{ and the angle of Prism A are related as}$
$\sf{ A = \dfrac{1}{2}cos^{-1}\bigg\{\dfrac{\mu}{2}\bigg\}}$

$\textsf{(c) For this prism, the emergent ray at the }$$\textsf{second surface will be tangential to the }$$\textsf{surface when the angle of incidence at the}$$\textsf{ first surface is}\: \sf{ i_1 = sin^{-1} \bigg[sinA \sqrt{4cos²\dfrac{A}{2}-1}-cosA\bigg]} [tex] \textsf{(d) For the angle of incidence}\sf{ i_1 = A,} \textsf{the ray}$$\textsf{ inside the prism is parallel to the base}$$\textsf{ of the prism}$

Please provide explanation ~

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Answer 1

Hi there !

Option A is correct

Please refer the attachment for explanation

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