You shine red laser light with wavelength 670 nm through two narrow slits where

Question

You shine red laser light with wavelength 670 nm through two narrow slits where the spacing between the slits is 0.005 mm. You use a screen placed far from the slits to detect the interference pattern.

a. What is the smallest angle where the path difference is 1/8 of the wavelength?

-I found the angle to be 7.7 degrees. With the equation disin(theta)=m(lambda)

b. What would you expect to see, qualitatively, at the height on the screen that corresponds to the angle from part (a)?

-I said you would see a bright fringe because it is constructive interference.

Are either of these two answers wrong??

Explanation / Answer

a)

path difference = d sin = (1/8)

>>>> 0.005e-3 * sin = 670e-9/8

>>>> sin = 670e-9/(8*0.005e-3)

>>>> = 0.960 degrees

b)

I think that path difference of /8 is not constructive or destructive. The brightness in this point is less than central point on the screen

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