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JEE Main 202430 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
30 January
Shift
Evening Shift
Subject
Physics
Chapter
Wave Optics

JEE Main 2024 · 30 January · Evening Shift · Physics · Wave Optics

A beam of unpolarised light of intensity I _ 0 is passed through a...

A beam of unpolarised light of intensity I0{I}_{0} is passed through a polaroid AA and then through another polaroid BB which is oriented so that its principal plane makes an angle of 45°45 ° relative to that of AA. The intensity of emergent light is :

Options

  1. AI04\dfrac{{I}_{0}}{4}
  2. BI0{I}_{0}
  3. CI02\dfrac{{I}_{0}}{2}
  4. DI08\dfrac{{I}_{0}}{8}

Correct answer

A. I04\dfrac{{I}_{0}}{4}

Step-by-step solution

Intensity of polarised light from polaroid AA will be I02\dfrac{{I}_{0}}{2}. Therefore,

Intensity of emergent light
=I02cos⁡245°=I04= \dfrac{{I}_{0}}{2}\cos^{2}45 ° = \dfrac{{I}_{0}}{4}

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