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roam
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Homework Statement
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.
Homework Equations
[tex]y=L \ sin \theta_{dark}[/tex]
[tex]sin \theta_{dark} = m \frac{\lambda}{a}[/tex]
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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