Two polaroids P1 and P2 are placed with their axis perpendicular to each other. Unpolarised light I0 is incident on P1 . A third Polaroid P3 is kept in between P1 and P2 such that its axis makes an angle 45° with that of P1 . The intensity of transmitted light through P2 is

The correct option is DI08Initial intensity =I0After P1→I1=I02After P3→I2=I1cos2⁡45∘=I02×12=I04After P2→I3=I2cos2⁡45∘=I04×a2=I08

Two polaroids P1 and P2 are placed with their axis perpendicular to each other. Unpolarised light I0 is incident on P1 . A third Polaroid P3 is kept in between P1 and P2 such that its axis makes an angle 45° with that of P1 . The intensity of transmitted light through P2 is

The correct option is DI08Initial intensity =I0After P1→I1=I02After P3→I2=I1cos2⁡45∘=I02×12=I04After P2→I3=I2cos2⁡45∘=I04×a2=I08

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Two polaroids P₁ and P₂ are placed with their axis perpendicular to each other. Unpolarised light I₀ is incident on P₁ . A third Polaroid P₃ is kept in between P₁ and P₂ such that its axis makes an angle 45° with that of P₁ . The intensity of transmitted light through P₂ is

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$I_{0} / 16$

$I_{0} / 2$

$I_{0} / 4$

$I_{0} / 8$

answer is D.

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Detailed Solution

The correct option is $D \frac{I_{0}}{8}$
Initial intensity =I₀
After $P_{1} \to I_{1} = \frac{I_{0}}{2}$
After $P_{3} \to I_{2} = I_{1} \cos^{2} 45^{\circ}$
$= \frac{I_{0}}{2} \times \frac{1}{2} = \frac{I_{0}}{4}$
After $P_{2} \to I_{3} = I_{2} \cos^{2} 45^{\circ}$
$= \frac{I_{0}}{4} \times \frac{a}{2} = \frac{I_{0}}{8}$