Practice question
Question
What is the angular width of the ntral maximum in a single-slit diffraction pattern if the slit width is 5.0 μm and the wavelength is 650 nm ?
Explanation
Given:
What is the angular width of the ntral maximum in a single-slit diffraction pattern if the slit width is 5.0 μm and the wavelength is 650 nm ?
Formula:
Angular width 2θ = 2lambda/a.
Substitution & Calculation:
lambda = 6.5 × 10⁻⁷m, a = 5.0 × 10⁻⁶m . sin θ = lambda/a = frac6.5 × 10⁻⁷⁵.0 × 10⁻⁶= 0.13, θ = sin^{-1(0.13) approx 7.5°, 2θ approx 15° .
Final Result:
The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.
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