In a diffraction pattern due to a single slit of width a, first minimum is observed at an angle 30° when light of wavelength 5000 Å is incident. The first secondary maximum is observed at an angle of:
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Question

In a diffraction pattern due to a single slit of width a, first minimum is observed at an angle 30° when light of wavelength 5000 Å is incident. The first secondary maximum is observed at an angle of:

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G1 Physics · Accepted Answer

Step 1: First minimum: a sin 30° = λ ⇒ a = 2λ. Step 2: First secondary maximum approximately occurs when a sin θ ≈ 3λ/2 (standard approximate position). Step 3: sin θ ≈ 3λ/(2a) = 3/4. Final answer: (C) sin⁻¹(3/4).