$A$ thin prism of refracting angle $2^o$ deviates an incident ray through an angle of $1^o$. Find the value of the refractive index of the material of the prism.

  • A
    $1.72$
  • B
    $1.3$
  • C
    $2.1$
  • D
    $1.5$

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For a prism of prism angle $\theta=60^{\circ}$,the refractive indices of the left half and the right half are,respectively,$n_1$ and $n_2$ $(n_2 \geq n_1)$ as shown in the figure. The angle of incidence $i$ is chosen such that the incident light rays will have minimum deviation if $n_1=n_2=n=1.5$. For the case of unequal refractive indices,$n_1=n$ and $n_2=n+\Delta n$ (where $\Delta n \ll n$),the angle of emergence $e=i+\Delta e$. Which of the following statement$(s)$ is (are) correct?
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$(B)$ $\Delta e$ is proportional to $\Delta n$
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