Diffraction maxima:

$\overline{){\mathbf{d}}{\mathbf{}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta}}{\mathbf{=}}{\mathit{m}}{\mathbf{\lambda}}}$

Diffraction minima:

$\overline{){\mathbf{d}}{\mathbf{}}{\mathbf{sin\theta}}{\mathbf{=}}{\mathbf{(}}{\mathit{m}}{\mathbf{+}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{)}}{\mathbf{\lambda}}}$

For small angles measured in radians:

tan θ ≈ sin θ ≈ y/L

- L = 6.00 m
- λ
_{1}= d/20 - λ
_{2}= d/15

The position of the second maxima for laser 2:

- m = 2

y_{max,1} = mλ_{1}L/d = 2(d/20)6.00/d = 0.6 m

Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patterns on a screen a distance 6.00 m away from the slits.

What is the distance Δy_{max-min} between the second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum?

Δy_{max-min} = ________ m

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