Assertion (A): Two polaroids are crossed to each other. When either of them is rotated through \(30^\circ\), then only one eighth of the incident unpolarised light passes through the combination.
Reason (R): According to Malus's law, \(I \propto cos^2 \theta\) where \(I\) is the resultant intensity transmitted and \(\theta\) is the angle between the optical axis of analyser and polariser.
Solution:
Assertion (A) is true. Unpolarised light becomes \(I_0/2\) after the first polaroid. With \(60^\circ\) angle between axes, Malus's law gives \(I = (I_0/2)cos^2(60^\circ) = (I_0/2)(1/4) = I_0/8\). Reason (R) correctly states Malus's law, which explains (A).
Leave a Reply