(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A beam of monochromatic light is incident on a single slit of width 0.560 mm. A diffraction pattern forms on a wall 1.35 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.32 mm. Calculate the wavelength of the light.

2. Relevant equations

[tex]y=L \ sin \theta_{dark}[/tex]

[tex]sin \theta_{dark} = m \frac{\lambda}{a}[/tex]

3. The attempt at a solution

[tex]sin \theta_{dark} = \frac{\lambda}{a}[/tex]

And since

[tex]sin \theta_{dark} = \frac{y}{L}[/tex]

We have [tex]\lambda = \frac{ya}{L} = \frac{(2.32 \times 10^{-3})(0.56 \times 10^{-3})}{1.35} = 962.37 \ nm[/tex]

But why is my answer wrong?

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# Homework Help: Diffraction patterns

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