Find spacing between slits in a double slit experiement

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SUMMARY

The discussion focuses on calculating the spacing between slits in a double slit experiment using the equation I = Imax cos²((2π/λ)dsin(θ)). A user encountered issues with their calculations, specifically regarding the angle θ, which was initially misinterpreted as 2.65 degrees. The correct approach involved ensuring the angle was in radians and confirming the absence of an unnecessary factor of 2 in the equation. After correcting these mistakes, the user successfully arrived at the correct answer.

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Homework Statement


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2. Homework Equations
I = Imax cos^2 ((2pi/lambda)dsin(theta))

.81Imax = Imax cos^2 ((2pi/lambda)dsin(theta))[/B]

To shorten up my work I divided out the Imax

3. The Attempt at a Solution

Not sure where I am going wrong. Is the 2.65 deg not the theta I am suppose to use? I divided out the I max, square rooted both sides, took the inverse cos of the left side to cancel out the cos on the right. Then proceeded to do the algebra.
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mkematt96 said:

Homework Equations


I = Imax cos^2 ((2pi/lambda)dsin(theta))[/B]
Check your notes or textbook to see if the factor of 2 (shown in red above) should be there.

Also, when doing the calculation think about whether or not the angle obtained from the cos-1 should be in radians or degrees.
 
That 2 shouldn't have been in my equation. I found the calculation of inv cos (.9) in radians instead of degrees. That then gave me the correct answer. Thanks for the help!
 

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