Calculating Minimum Angle in Multiple-Slit Interference

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To determine the minimum angle in a five-slit interference pattern, the formula dsin(θ) = mλ is used, where d is the distance between slits, λ is the wavelength, and m is the order of the minimum. In this case, the distance between adjacent slits is given as 125λ. For the first minimum, m is set to 1/2, leading to the equation 125λsin(θ) = (1/2)λ. After simplifying, the angle θ is calculated to be approximately 0.23 degrees. This approach effectively solves the problem using the correct formula and parameters.
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Homework Statement



"If the distance between the centers of adjacent slits in the five-slit mask is 125[lambda], determine the angle (measured relative to the normal to the screen) to the minimum closest to the center of the screen."

Homework Equations


So, I have a question about the homework due tomorrow.
Here is the question:

So, do I use dsin[theta] = m[lambda]?
Where d would be, well, I am not sure,
Theta is what I'd be solving for,
m would be 0.5 (I think, but not sure since there are 5 slits)
and lambda would be 125

Is this right, or totally wrong?
 
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Correct formula. "d" is the distance between slits, so replace it with 125*L
(I'm writing L instead of lambda). That gives you
125*L*sin(A) = m*L
For the first minimum, m = 1/2.
The L cancels, so you can find A.
 
Okay, so theta = 0.23 degrees?
 
Yes, that's it.
 
Awesome! Thanks :D
 
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