An unpolarized light of certain intensity passes through a… | JEE Main 2026 (4 Apr, Shift 2)

Q8JEE Main 2026 · 4 APR · SHIFT 2Medium

Polarisation

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

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Answer: (c)

Without the third: axes differ by $60^\circ$ , $I_1 = \frac{I_0}{2}\cos^2 60^\circ = \frac{I_0}{8}$
With the third at $60^\circ$ : steps of $30^\circ$ and $30^\circ$ , $I_2 = \frac{I_0}{2}\cos^2 30^\circ\cos^2 30^\circ = \frac{9I_0}{32}$
$\frac{I_2}{I_1} = \frac{9/32}{1/8} = \frac{9}{4}$
So the answer is (c) 9/4.

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Polarisation question from JEE Main 2026 (4 Apr, Shift 2)

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