Question

find the intensity at a point on a screen in young's double slit experiment where interfering waves of equal intensity have path difference of A) lemda/y. B) lemda/delta. ​

Answer 1

I = Io cos ^ 2 ( ø/2 )

ø = 2p / lambda x lambda / 4 = pi/2

I = Io cos ^ 2 (pi/2)/2) = Io cos^2 (pi/4) = Io (1/sqrt(2))^2 = Io / 2

ø = 2pi/lambda * lambda/3 = 2pi/3

I = Io cos^2 ((2pi/3)/2) = Io cos^2 (pi/3) = Io (1/2)^2 = Io / 4