Two coherent sources emit light waves which superimpose at a point where these can be expressed as
`E_(1) = E_(0) sin(omega t + pi//4)`
`E_(2) = 2E_(0) sin(omega t - pi//4)`
here `E_(1)` and `E_(2)` are the electric field strengths of the two waves at the given point.
If I is the intensity of wave expressed by field strength E, the resultant intensity is

Options

A. 3I
B. 5I
C. 2I
D. I

Explanation

`I prop E_(0)^(2), I prop (2E_(0))^(2), (I.)/(I) = 4, I. = 4I`
Phase difference between two waves `= (omega t + pi//4) - (omega t - pi//4) = pi//2)`
Resultant intensity
`I_(R) + I + I. + 2sqrt(II.) cos phi` or `I_(R) = 5 I`