A) \[I=100\,{{I}_{0}}\]
B) \[I=10\,{{I}_{0}}\]
C) \[I={{I}_{0}}\]
D) \[I=\sqrt{10}\,{{I}_{0}}\]
Correct Answer: B
Solution :
In case of interference of two waves resultant intensity \[I={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\cos \varphi \] If f varies randomly with time, so \[{{(\cos \varphi )}_{av}}=0\] Þ \[I={{I}_{1}}+{{I}_{2}}\] For n identical waves, \[I={{I}_{0}}+{{I}_{0}}+.......=n\,{{I}_{0}}\] here \[I=10{{I}_{0}}.\]
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