Light is incident normally on face $AB$ of a prism as shown in the figure. $A$ liquid of refractive index $\mu$ is placed on face $AC$ of the prism. The prism is made of glass of refractive index $\frac{3}{2}$. The limit of $\mu$ for which total internal reflection takes place on face $AC$ is

  • A
    $\mu > \frac{\sqrt{3}}{2}$
  • B
    $\mu < \frac{3\sqrt{3}}{4}$
  • C
    $\mu < \sqrt{3}$
  • D
    $\mu < \frac{\sqrt{3}}{2}$

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