A) I = Io
B) I = 2Io
C) I = 4Io
D) There is no relation between I and Io
Correct Answer: C
Solution :
Suppose slit width?s are equal, so they produces waves of equal intensity say \[{I}'.\] Resultant intensity at any point \[{{I}_{R}}=4\,{I}'{{\cos }^{2}}\varphi \] where \[\varphi \] is the phase difference between the waves at the point of observation. For maximum intensity \[\varphi ={{0}^{o}}\Rightarrow {{I}_{\max }}=4{I}'=I\] ?(i) If one of slit is closed, Resultant intensity at the same point will be \[{I}'\]only i.e. \[{I}'={{I}_{O}}\] ?(ii) Comparing equation (i) and (ii) we get \[I=4{{I}_{O}}\]
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