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Question: Answered & Verified by Expert
A plane polarized light passed through successive polarizers which are rotated by $30^{\circ}$ with respect to each other in the clockwise direction. Neglecting absorption by the polarizers and given that the first polarizer's axis is parallel to the plane of polarization of the incident light, the intensity of light at the exit of the fifth polarizer is closest to -
PhysicsWave OpticsKVPYKVPY 2011 (SB/SX)
Options:
  • A same as that of the incident light
  • B $17.5 \%$ of the incident light
  • C $30 \%$ of the incident light
  • D zero
Solution:
1324 Upvotes Verified Answer
The correct answer is: $30 \%$ of the incident light
$\mathrm{I}=\mathrm{I}_{0}\left(\cos ^{2} \phi\right)^{4}$
$=\mathrm{I}_{0} \times\left(\frac{3}{4}\right)^{4}=30 \%$ of $\mathrm{I}_{0}$

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