A parallel beam of monochromatic light falls normally on a single… - Vidyadip

Question

A parallel beam of monochromatic light falls normally on a single narrow slit. How does the angular width of the principal maximum in the resulting diffraction pattern depend on the width of the slit?

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Answer

Width of central maximum, $\beta=\frac{2\lambda\text{D}}{\text{a}}\alpha \frac{1}{\text{a}},$ where a is width of the slit. That is angular width of principal maximum decreases with increase of width of the slit.

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