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Q.

Two nichol prisms are first kept in crossed position and then one of them is rotated through 60⁰. If unpolarised light is incident on 1st prism, intensity of light transmitted through second prism is

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a

25%

b

6.25%

c

50%

d

37.5%

answer is D.

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Detailed Solution

$\emptyset = 90^{\circ} - 60^{\circ} = 30^{\circ}$

Int. of unpolarised $= I_{0}$

Int. of polarised from 1st prism $= \frac{I_{0}}{2}$

Int. of polarised from 2nd prism

$= \frac{I_{0}}{2} {COS}^{2} \emptyset = \frac{I_{0}}{2} {COS}^{2} 30$

$= \frac{I_{0}}{2} (\frac{3}{4}) = \frac{3}{8} I_{0}$

$\frac{I}{I_{0}} = \frac{3}{8} = \frac{300}{8} % = 37.5 %$

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Two nichol prisms are first kept in crossed position and then one of them is rotated through 600. If unpolarised light is incident on 1st prism, intensity of light transmitted through second prism is