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In a diffraction pattern due to a single slit, how will the angular width of the central maximum change, if the slit width is decreased? Justify your answer.

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Question

In a diffraction pattern due to a single slit, how will the angular width of the central maximum change, if the slit width is decreased?

Justify your answer.

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Solution

The angular width of the central maxima of a single slit diffraction pattern is 2θ = `(2λ)/"a"`

Angular width of central maxima `∝ 1/ "slit width"`

So, if the angular width is decreased, the angular width of the central maxima will increase.

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2021-2022 (March) Term 2 - Outside Delhi Set 1
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