If a polaroid is kept in the path of uniformly unpolarised light,the ratio of the intensity of the transmitted light to the intensity of the light when the polaroid was not kept in its path is:

  • A
    $1$
  • B
    $\frac{1}{2}$
  • C
    $\frac{1}{\sqrt{2}}$
  • D
    $\frac{1}{2\sqrt{2}}$

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$A$ beam of unpolarised light of intensity $I_0$ is passed through a polaroid $A$ and then through another polaroid $B$ which is oriented so that its principal plane makes an angle of $45^{\circ}$ relative to that of $A$. The intensity of emergent light is:

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