Intensity due to line source `S_(1)` at a distance of `r` is `I_(0)` and intensity due to other line source `S_(2)` at a distance of `r` is `4I_(0)` and frequency of both source are equal. If interference occurs at a point `P` as shown in the figure and wavelength of both sources is `r`, find the resultant intensity (in `watt//m^(2)`) at `P`. (where `I_(0)=2 "watt"//m^(2)`) A. `8`B. `4`C. `2`D. `1`

Intensity due to line source `S_(1)` at a distance of `r` is `I_(0)` a

1.	Intensity due to line source `S_(1)` at a distance of `r` is `I_(0)` and intensity due to other line source `S_(2)` at a distance of `r` is `4I_(0)` and frequency of both source are equal. If interference occurs at a point `P` as shown in the figure and wavelength of both sources is `r`, find the resultant intensity (in `watt//m^(2)`) at `P`. (where `I_(0)=2 "watt"//m^(2)`) A. `8`B. `4`C. `2`D. `1`
Answer» In case of line source `I prop 1//r` Path difference `Deltax=4r-r=3r=3lambda` So constructive interference occurs at `P`. `I_(P)=I_(max)=(sqrt(I_(1))+sqrt(I_(2)))^(2)=4I_(0)`

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