Consider two coherent, monochromatic (wavelength `lambda`) sources `S_(1) and S_(2)`, separated by a distance d. The ratio of intensities of `S_(1)` and that of `S_(2)` (which is responsible for interference at point P, where detector is located) is 4. The distance of point P from `S_(1)` is (if the resultant intensity at point P is equal to `(9)/(4)` times of intensity of `S_(1)`) `("Given : "angleS_(2)S_(1)P=90^(@), d gt0 and n" is a positive integer")`

Options

A. `(d^(2)-n^(2)lambda^(2))/(2nlambda)`
B. `(d^(2)+n^(2)lambda^(2))/(2nlambda)`
C. `(n lambdad)/(sqrt(d^(2)-n^(2)lambda^(2))`
D. `(2n lambdad)/(sqrt(d^(2)-n^(2)lambda^(2))`

Answer

A