FormuLab
Optics

Double-Slit Interference

Constructive interference from two coherent slits occurs when their path difference is an integer number of wavelengths.

Study tools
Save, share, export, or report this formula.
Source & review

Difficulty

Intermediate

Read time

5 min

Prerequisites

Basic algebra, consistent units, and the stated model assumptions

Review statusNeeds review

Source

OpenStax, College Physics 2e, §27.3 (Paul Peter Urone and Roger Hinrichs)

OpenFormulaGraph equation reference; FormuLab adaptation details and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted wording, notation, applicability conditions and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Constructive interference from two coherent slits occurs when their path difference is an integer number of wavelengths. Bright-fringe positions therefore depend on wavelength and slit separation.

Variables & Units
Understanding each component
SymbolMeaningUnits
Slit center-to-center spacing
Bright-fringe angle from the central axis
Integer bright-fringe order
Wavelength
Real-World Applications
Where this formula is used in practice

Interference fringes

Relate bright-fringe angle to wavelength.

Wavelength measurement

Infer wavelength from a known slit separation.

Worked Example
Step-by-step calculation with real numbers

Problem

For slit spacing 2.00 × 10⁻⁵ m, a first-order bright fringe occurs at the listed angle in radians. Find the wavelength.

Given

Solution

1
2
3
4

Final Answer

FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.

Browse by category

See all