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8.3.4—Λ = ax / D for double-slit interference using light

Syllabus
9702–2028–2029
Objective
8.3.4
Level
AS

Double-slit fringe spacing follows λ=ax/D for small angles

For slit separation a and screen distance D, the fringe spacing x satisfies λ=ax/D in the small-angle approximation.

Use consistent units and identify x as adjacent bright-fringe spacing, not distance from the centre unless the count is included.

With a=0.25 mm, D=2.0 m and x=5.0 mm, λ=6.25×10⁻⁷ m.

Increasing slit separation reduces fringe spacing; increasing screen distance or wavelength increases it.

ConceptA-Level CAIE Physics AS