(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A laser with wavelength d/8 is shining light on a double slit with slit separation d. This results in an interference pattern on a screen a distance L away from the slits. We wish to shine a second laser, with a different wavelength, through the same slits.

What is the wavelength (lambda_2) of the second laser that would place its second maximum at the same location as the fourth minimum of the first laser?

Express your answer in terms of d

2. Relevant equations

I have (dsin(theta)) = 2(lambda_1)

and dsin(theta)= (9/2)(lambda_2)

3. The attempt at a solution

I set the two equations equal to each other, and solve for lambda_2 and get (2/9)dsin(theta), but then it said the answer does not depend on theta.. so I just guessed and put (2/9)d and it said I was off by a multiplicative factor. basically, I'm confused and do not know how to go about solving this problem. please help!

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# Double slit

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