Young’s double-slit experiment is carried out with light of wavelength λ = 5000 Å. Separation of slits is 0.2 mm and screen is at 200 cm. If central maximum is at x = 0, the third maximum (taking x > 0) is at:
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Question

Young’s double-slit experiment is carried out with light of wavelength λ = 5000 Å. Separation of slits is 0.2 mm and screen is at 200 cm. If central maximum is at x = 0, the third maximum (taking x > 0) is at:

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G1 Physics · Accepted Answer

Step 1: Position of n-th bright fringe yₙ = nλD/d. Step 2: λ = 5 × 10⁻⁷ m, D = 2 m, d = 2 × 10⁻⁴ m, n = 3. Step 3: y₃ = 3 × 5 × 10⁻⁷ × 2/(2 × 10⁻⁴) = 0.015 m = 1.5 cm. Final answer: (B) 1.5 cm.