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Wave Optics question

2017 · Q138
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Wave Optics question

2017 · Q138

NEETPhysicsWave OpticsMCQ+4 / −1
Two polaroids P1 and P2 are placed with their axis perpendicular to each other. Unpolarised light III0 is incident on P1. A third polaroid P3 is kept in between P1 and P2 such that its axis makes an angle 45o with that of P1. The intensity of transmitted light through P2 is
  1. A
    I04{{{I_0}} \over 4}4I0​​
  2. B
    I08{{{I_0}} \over 8}8I0​​
  3. C
    I016{{{I_0}} \over 16}16I0​​
  4. D
    I02{{{I_0}} \over 2}2I0​​
View written solutionFree

Correct answer: B

Apply Malus' Law,

Intensity of light from first polaroid P1, I1 = I02{{{I_0}} \over 2}2I0​​

Intensity of light from second polaroid P3,

I2 = I02cos⁡245∘{{{I_0}} \over 2}{\cos ^2}45^\circ 2I0​​cos245∘ = I02×12{{{I_0}} \over 2} \times {1 \over 2}2I0​​×21​

Intensity of transmitted light through P2,

I3 = I04cos⁡245∘{{{I_0}} \over 4}{\cos ^2}45^\circ 4I0​​cos245∘ = I04×12{{{I_0}} \over 4} \times {1 \over 2}4I0​​×21​ = I08{{{I_0}} \over 8}8I0​​

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