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JEE Main 20146 April
Exam
JEE Main
Year
2014
Date
6 April
Subject
Physics
Chapter
Wave Optics

JEE Main 2014 · 6 April · Physics · Wave Optics

Two beams, A and B of plane polarized light with mutually...

Two beams, A and B of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam A has maximum intensity (and beam B has zero intensity), a rotation of polaroid through 30o makes the two beams appear equally bright. If the initial intensities of the two beams are IA and IB respectively, then IAIB\dfrac{{\text{I}}_{\text{A}}}{{\text{I}}_{\text{B}}} equals :

Options

  1. A3
  2. B32\dfrac{3}{2}
  3. C1
  4. D13\dfrac{1}{3}

Correct answer

D. 13\dfrac{1}{3}

Step-by-step solution

{\text{I}}_{\text{A}} {\text\cos}^{2} \theta = {\text{I}}_{\text{B}} {\text\cos}^{2}\left(9 0 - \theta\right)\left(\text{I} = {\text{I}}_{0} {\text\cos}^{2} \theta\right) by malus equation

∴ \dfrac{{\text{I}}_{\text{A}}}{{\text{I}}_{\text{B}}} = {\text\tan}^{2} \theta = \dfrac{1}{3}

where θ=30o\theta = 3 {0}^{\text{o}}
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