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AP EAMCET · PHYSICS · Wave Optics

In an experiment, two polariods are arranged such that the intensity of the polarised light emerged from the second polaroid is \(37.5 \%\) of the intensity of the unpolarised light incident on the first polaroid. Then the angle between the axes of the two polaroids is

  1. A \(60^{\circ}\)
  2. B \(90^{\circ}\)
  3. C \(45^{\circ}\)
  4. D \(30^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(30^{\circ}\)

Step-by-step Solution

Detailed explanation

\(I_{polarized} = \frac{1}{2}I_{unpolarized}\) \(I_{final} = I_{polarized} \cos^2 \theta\) \(0.375 I_{unpolarized} = \frac{1}{2}I_{unpolarized} \cos^2 \theta\) \(\cos^2 \theta = \frac{0.375}{0.5} = 0.75\) \(\cos \theta = \sqrt{0.75} = \frac{\sqrt{3}}{2}\) \(\theta = 30^{\circ}\)
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