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Double slit

by yo_man
Tags: double, slit
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yo_man
#1
Dec9-07, 11:17 PM
P: 12
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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rl.bhat
#2
Dec10-07, 12:06 AM
HW Helper
P: 4,433
I have (dsin(theta)) = 2(lambda_1)
and dsin(theta)= (9/2)(lambda_2)
Check this.
Second maximum of second laser and fourth minimum of the first laser
yo_man
#3
Dec10-07, 12:44 AM
P: 12
is it

(2(lambda_2)L)/d = ((4+.5)(d/8)L)/d

rl.bhat
#4
Dec10-07, 12:54 AM
HW Helper
P: 4,433
Double slit

Yes.


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