A) \[\frac{{{I}_{0}}}{4}\]
B) \[\frac{3\,{{I}_{0}}}{4}\]
C) \[\frac{3\,{{I}_{0}}}{8}\]
D) \[\frac{{{I}_{0}}}{8}\]
Correct Answer: D
Solution :
Intensity of transmit light from one polaroid \[{{I}_{1}}=\frac{{{I}_{0}}}{2}\] Therefore, intensity of light transmitted from second polaroid \[{{I}_{2}} ={{I}_{1}} co{{s}^{2}}\,\theta \] \[=\,\,\,\frac{{{I}_{0}}}{2}\,co{{s}^{2}}\left( 90{}^\circ -30{}^\circ \right)\] \[=\,\,\,\frac{{{I}_{0}}}{2}\,co{{s}^{2}}\,60{}^\circ \] \[=\,\,\,\frac{{{I}_{0}}}{2}\,\times \,\,{{\left( \frac{1}{2} \right)}^{2}}\,=\,\,\frac{{{I}_{0}}}{8}\]
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