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Polaroids at an Angle

A beam of unp...

Question

A beam of unpolarised light passes through a tourmaline crystal A and then it passes through a tourmaline crystal B oriented so that its principal plane is parallel to that of A. the intensity of emergent light is $I_{0}$ . Now B is rotated by $45^{\circ}$ about the ray. The emergent light will have intensity:

A

\frac{I_{0}}{2}

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B

\frac{I_{0}}{\sqrt{2}}

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C

\frac{\sqrt{2}}{I_{0}}

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D

\frac{2}{I_{0}}

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Solution

The correct option is A $\frac{I_{0}}{2}$
$I = I_{0} c o s^{2} 45^{\circ} = \frac{I_{0}}{2}$

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A beam of unpolarised light passes through a tourmaline crystal A and then it passes through a tourmaline crystal B oriented so that its principal plane is parallel to that of A. the intensity of emergent light is $I_{0}$ . Now B is rotated by $45^{\circ}$ about the ray. The emergent light will have intensity:

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