Two Polaroids \( \mathrm{P}_{1} \) and \( \mathrm{P}_{2} \) are placed with their axis P perpend...

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Two Polaroids \( \mathrm{P}_{1} \) and \( \mathrm{P}_{2} \) are placed with their axis
P perpendicular to each other. Unpolarised light \( \mathrm{I}_{0} \) is

W incident on \( P_{1} \). A third polaroid \( P_{3} \) is kept in between \( P_{1} \) and \( P_{2} \) such that its axis makes an angle \( 45^{\circ} \) with that of \( P_{1} \). The intensity of transmitted light through \( \mathrm{P}_{2} \) is :-
(1) \( \frac{I_{0}}{4} \)
(2) \( \frac{I_{0}}{8} \)
(3) \( \frac{I_{0}}{16} \)
(4) \( \frac{I_{0}}{2} \)
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