How Do You Calculate the Fringe Separation in Young's Double Slit Experiment?

AI Thread Summary
In the discussion about calculating fringe separation in Young's double slit experiment, the user seeks to understand the distance between the 3rd order and 0th order bright fringes given a slit separation of 30 µm and a distance of 1.2 m from the slits. The relevant formula provided is sin(θ) = mλ/d, where m represents the order of the fringe. The user is advised to visualize the setup geometrically to determine the separation distance on the screen. After applying the calculations, the user arrives at a separation of 8.60 cm and seeks confirmation of this result. The conversation emphasizes the importance of understanding the geometry involved in fringe separation calculations.
Dx
Hello,

A monochromatic light is incident on a Youngs double spilt setup that has a slit separation of 30um. the resultant bridge fringe separation if 2.15cm on a 1.2 m from the double slit. what is the separation between the 3rd order bright fringe and the 0th order bright fringe?

I know that d=30um, L=1.2m and m=0, 3 orders. ao using x_1=L[the]_1 = 1.2(?)=2.15 = 17.92
I think I am lost on what there trying to get me to solve for ie. what is the separation between the 3rd order bright fringe and the 0th order bright fringe? what do they mean? I have this formula sin[the]= m[lamb] /d. How do i solve for it, i must be close, right?
Plz help?
Dx :wink:
 
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Originally posted by Dx
I think I am lost on what there trying to get me to solve for ie. what is the separation between the 3rd order bright fringe and the 0th order bright fringe? what do they mean?

They mean, "How far apart on the screen are those two fringes?"

I have this formula sin[the]= m[lamb] /d.

OK, now use geometry. Draw the setup, and you will have a triangle with one angle θ and the unknown distance opposite that angle.
 
Thats it tom.
You make it too easy, i got 8.60cm as my answer. is that correct?
Thanks!
Dx :wink:
 
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