1. Tardigrade
  2. Question
  3. Physics
  4. Two Polaroids P1 and P2 are placed with their axis perpendicular to each other. Unpolarised light I0 is incident on P1. A third polaroid P3 is kept in between P1 and P2 such that its axis makes an angle 45° with that of P1. Then intensity of transmitted light through P2 is (I0/n). Find n.

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Q. Two Polaroids $P_{1}$ and $P_{2}$ are placed with their axis perpendicular to each other. Unpolarised light $I_{0}$ 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 $P_{1}$. Then intensity of transmitted light through $P_{2}$ is $\frac{I_{0}}{n}$. Find $n$.

Wave Optics

Solution:

$I_{1}=\frac{I_{0}}{2}$
$I_{2}=\frac{I_{0}}{2} \cos ^{2} 45^{\circ}=\frac{I_{0}}{4}$
$I_{3}=\frac{I_{0}}{4} \cos ^{2} 45^{\circ}=\frac{I_{0}}{8}$