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VCE · Topic explainer

Calculating double-slit fringe spacing

For a distant screen and small angles, adjacent bright fringes are separated by approximately λL/d. Here λ is the wavelength, L is the distance to the screen and d is the slit separation. Convert lengths to consistent units before substituting.

Worked example

Light of wavelength 600 nm passes through slits 0.300 mm apart. Put the screen 1.50 m away. Convert λ to 6.00 × 10⁻⁷ m and d to 3.00 × 10⁻⁴ m.

The spacing is (6.00 × 10⁻⁷ × 1.50) ÷ (3.00 × 10⁻⁴) = 3.00 × 10⁻³ m, or 3.00 mm. Larger slit separation gives smaller fringe spacing when wavelength and screen distance are fixed.

Convert wavelength and gap to metres. Apply spacing ≈ λL/d. Convert the result back to millimetres.

Official exam practice

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