Diffraction maxima:

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

**(a)**

For small angles measured in radians:

tan θ ≈ sin θ ≈ y/L

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

dy_{max}/L = mλ

y_{max,1} = mλ_{1}L/d = 1(d/20)6.00/d = 0.3 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.

(a) Which laser has its first maximum closer to the central maximum?

(b) What is the distance Δy_{max-max} between the first maxima (on the same side of the central maximum) of the two patterns?

Δy_{max-max}= ________ m

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Diffraction with Huygen's Principle concept. You can view video lessons to learn Diffraction with Huygen's Principle. Or if you need more Diffraction with Huygen's Principle practice, you can also practice Diffraction with Huygen's Principle practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Rawlins' class at UAA.