Three polaroid sheets are co-axially placed as indicated in the diagram. Pass axes of the polaroids $2$ and $3$ make $30^{\circ}$ and $90^{\circ}$ with the pass axis of polaroid sheet $1$. If $I_0$ is the intensity of the incident unpolarised light entering sheet $1$,the intensity of the emergent light through sheet $3$ is

  • A
    zero
  • B
    $\frac{3 I_0}{32}$
  • C
    $\frac{3 I_0}{8}$
  • D
    $\frac{3 I_0}{16}$

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