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BITSAT 2014
Exam
BITSAT
Year
2014
Subject
Physics
Chapter
Wave Optics

BITSAT 2014 · Physics · Wave Optics

Find the final intensity of light (I"), if the angle between the...

Find the final intensity of light (I"), if the angle between the axes of two polaroids is 60∘60^{{}^{\circ}}. Find the final intensity of light (I"), if the angle between the axes of two polaroids is 60^ ^ .

Options

  1. A\frac{3\mathrm{I}_{0}}{2}
  2. B\frac{\mathrm{I}_{0}}{2}
  3. C\frac{\mathrm{I}_{0}}{4}
  4. D\frac{\mathrm{I}_{0}}{8}

Correct answer

D. \frac{\mathrm{I}_{0}}{8}

Step-by-step solution

From the first polaroid I\mathrm{I}^{\prime}=\frac{\mathrm{I}_{0}}{2}From second polaroid I′′=I′cos⁡2θ=I02cos⁡2(60∘)=I02×(12)2=I08\begin{aligned} \mathrm{I}^{\prime \prime}&=\mathrm{I}^{\prime} \cos ^{2} \theta=\frac{\mathrm{I}_{0}}{2} \cos ^{2}\left(60^{{}^{\circ}}\right) \\ &=\frac{\mathrm{I}_{0}}{2} \times\left(\frac{1}{2}\right)^{2}=\frac{\mathrm{I}_{0}}{8} \end{aligned}
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