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AIIMS 201826 May
Exam
AIIMS
Year
2018
Date
26 May
Subject
Physics
Chapter
Wave Optics

AIIMS 2018 · 26 May · Physics · Wave Optics

Light is incident on a polarizer with intensity I_0 . A second...

Light is incident on a polarizer with intensity I0I_0. A second prism called analyzer is kept at a angle of 15∘15^{\circ}, from the first polarizer then the intensity of final emergent light will be

Options

  1. AI0(2−1)I_0(\sqrt{2}-1)
  2. BI0(3−1)I_0(\sqrt{3}-1)
  3. CI04(2+3)\frac{I_0}{4}(2+\sqrt{3})
  4. DI04(2−3)\frac{I_0}{4}(2-\sqrt{3})

Correct answer

C. I04(2+3)\frac{I_0}{4}(2+\sqrt{3})

Step-by-step solution

Intensity of final emergent light I=I02cos⁡2(15∘)==I04[1+cos⁡(30∘)]=I04⋅[1+32]=I04[2+3]\begin{aligned} & I=\frac{I_0}{2} \cos ^2\left(15^{\circ}\right)==\frac{I_0}{4}\left[1+\cos \left(30^{\circ}\right)\right] \\ & =\frac{I_0}{4} \cdot\left[1+\frac{\sqrt{3}}{2}\right]=\frac{I_0}{4}[2+\sqrt{3}]\end{aligned}
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