A) 3
B) \[\frac{3}{2}\]
C) 1
D) \[\frac{1}{3}\]
Correct Answer: D
Solution :
[d] According to malus law, intensity of emerging beam is given by, \[I={{I}_{0}}{{\cos }^{2}}\theta \] Now. \[{{I}_{A'}}={{I}_{A}}{{\cos }^{2}}{{30}^{o}}\] \[{{I}_{B'}}={{I}_{B}}{{\cos }^{2}}{{60}^{o}}\] As \[{{I}_{A'}}={{I}_{B'}}\] \[\Rightarrow \,\,{{I}_{A}}\times \frac{3}{4}={{I}_{B}}\times \frac{1}{4}=\frac{{{I}_{A}}}{{{I}_{B}}}=\frac{1}{3}\]
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