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Young's double slit experiment green laser

  • #1
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Homework Statement


If a green laser is (wavelength = 532nm) sent through two slits with a separation of 127 um, how wide (in total) would the 11 green dots formed be if they were projected onto a screen 1.25m away from the slits?

Refer to this diagram sorry for bad quality: https://imgur.com/a/ACcJYJd
Double Slit.jpg



Homework Equations


mλ=dsinθ
tanθ = Y/L

The Attempt at a Solution


First find θ

sinθ = mλ/d

sinθ = [(5)(5.32x10^-9)] / 1.27x10^-6
sinθ = 2.09x10^-2
θ = 1.2 degrees

second, find distance from m = 0 to m = 5 (Y)
tanθ = Y/L
Y = Ltanθ
Y = 1.25tan(1.2)
Y = 2.61x10^-2m

So therefore, the total distance of the 11 dots will be twice the distance between M=0 and M=5
Total width of 11 dots = (2.61x10^-2) x 2 = 5.24x10^-2m
 

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Answers and Replies

  • #2
ehild
Homework Helper
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Homework Statement


If a green laser is (wavelength = 532nm) sent through two slits with a separation of 127 um, how wide (in total) would the 11 green dots formed be if they were projected onto a screen 1.25m away from the slits?

Refer to this diagram sorry for bad quality: https://imgur.com/a/ACcJYJd

Homework Equations


mλ=dsinθ
tanθ = Y/L

The Attempt at a Solution


First find θ

sinθ = mλ/d

sinθ = [(5)(5.32x10^-9
)] / 1.27x10^-6
sinθ = 2.09x10^-2
θ = 1.2 degrees

second, find distance from m = 0 to m = 5 (Y)
tanθ = Y/L
Y = Ltanθ
Y = 1.25tan(1.2)
Y = 2.61x10^-2m

So therefore, the total distance of the 11 dots will be twice the distance between M=0 and M=5
Total width of 11 dots = (2.61x10^-2) x 2 = 5.24x10^-2m
532 nm is 532x10-9m.
And what is the slit separation? 127 μm or 1.27 μm?
 
  • #3
15
0
532 nm is 532x10-9m.
And what is the slit separation? 127 μm or 1.27 μm?
127um
 

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