question_answer

Two polaroids are placed in the path of unpolarized beam of intensity\[{{I}_{0}}\]such that no light is emitted from the second polaroid. If a third polarioid whose polarization axis makes an angle 9 with the polarization axis of first polaroid, is placed between these polaroids then the intensity of light emerging from the last polaroid will be

A) \[\left( \frac{{{I}_{0}}}{8} \right){{\sin }^{2}}2\theta \]

B) \[\left( \frac{{{I}_{0}}}{4} \right){{\sin }^{2}}2\theta \]

C) \[\left( \frac{{{I}_{0}}}{2} \right){{\cos }^{4}}\theta \]

D) \[{{I}_{0}}{{\cos }^{4}}\theta \]