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JEE Main 2026 · 4 Apr · Shift 2, Physics question 42

An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at 30° and 90°, respectively, with respect to the horizontal axis. A third polarizer with its transmission axis at 60° with the horizontal axis is placed between the two existing polarizers. The ratio of the output intensities with and without the third polarizer is ________.

Choose one option
Answer and worked solution

Official answer: C

Without the middle polarizer. I02cos⁡260∘=I08\frac{I_0}2\cos^260^\circ=\frac{I_0}8.

With it (at 60°). Each step turns by 30°: I02cos⁡230∘cos⁡230∘=9I032\frac{I_0}2\cos^230^\circ\cos^230^\circ=\frac{9I_0}{32}.

Ratio 94\frac94.

(C)