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Q.In a single-slit diffraction experiment, if the width of the slit is doubled, what change will occur in the size of the central maximum?

Tripura TbseHigher Secondary (+2 Stage) Examination 2026Subjective· 1mImportance★★★★★
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The width of the central maximum in single-slit diffraction is inversely proportional to the slit width, so doubling the slit width halves it.

In single-slit diffraction, the first minima occur at angle θ where

asin⁡θ=λ  ⟹  θ≈λa (for small θ)a\sin\theta = \lambda \implies \theta \approx \frac{\lambda}{a}\ (\text{for small }\theta)

The angular width of the central maximum is 2θ = 2λ/a, and its linear width on a screen at distance D is …

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