The refraction through the prisms is as shown. Pick out the wrong statement from the following. Path of the light ray in

  • A
    $a$ is correct if $n_{2} > n_{1}$ and $n_{2} > n_{3}$
  • B
    $b$ is correct if $n_{1} = n_{2}$ and $n_{2} > n_{3}$
  • C
    $c$ is correct if $n_{2} < n_{1}$ and $n_{2} = n_{3}$
  • D
    $d$ is correct if $n_{1} > n_{2}$ and $n_{2} < n_{3}$

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$A$ plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is $\delta=60^{\circ}$ (see Figure-$1$). The angle of minimum deviation for red light from the same prism is $\delta_{\text{min}}=30^{\circ}$ (see Figure-$2$). The refractive index of the prism material for blue light is $\sqrt{3}$. Which of the following statement$(s)$ is(are) correct?
$(A)$ The blue light is polarized in the plane of incidence.
$(B)$ The angle of the prism is $60^{\circ}$.
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