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How wide is the central diffraction peak on a screen 3.5 m behind a 0.01 mm slit illuminated by a 500 nm light source?

physical optics - diffraction of light
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How wide is the central diffraction peak on a screen 3.5 m behind a 0.01 mm slit illuminated by a 500 nm light source?


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Solution

Given,

The width of slit (d) = 0.01 mm = 10-5 m,
The distance between the slit and the screen (D) = 3.5 m,
The wavelength of light used (λ) = 400 nm = 500×10-9 m, 

Now, the width of the central diffraction peak is given by

\(x=\frac{2\lambda D}d\),
\(=\frac{2\times500\times10^{-9}\times3.5}{d10^{-5}}\)
= 0.35 m.

Hence, the required width of the central diffraction peak is 0.35 m

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