Two polaroids $P_1$ and $P_2$ are placed with their axes perpendicular to each other. Unpolarised light of intensity $I_0$ is incident on $P_1$. $A$ third polaroid $P_3$ is kept in between $P_1$ and $P_2$ such that its axis makes an angle $45^{\circ}$ with that of $P_1$. The intensity of transmitted light through $P_2$ is

  • A
    $\frac{I_0}{4}$
  • B
    $\frac{I_0}{8}$
  • C
    $\frac{I_0}{16}$
  • D
    $\frac{I_0}{2}$

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