- #1

Sullo

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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