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In the figure shown S(1)O-S(2)O=S(3)O-S(...

In the figure shown `S_(1)O-S_(2)O=S_(3)O-S_(2)O=(lambda)/(4)`, Intensity at O due to any one of the slits is `I_(0)`. What is the intensity due to all the three coherent sources `S_(1), S_(2) and S_(3)` ?

Text Solution

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Phase difference corresponding to the given path difference.
`triangle phi= (2pi)/(lambda)* triangle x= (2pi)/(lambda)xx(lambda)/(4)= (pi)/(2)`
Let `A_(0)` be the amplitude due to either of the slits.
`A_(R )= sqrt(5)A_(0), I_(R )" as "I propto A^(2)`.
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