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Young's Double Slit Experiment (CIE AS Physics)

Revision Note

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Katie M

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Double slit interference

  • Young's double-slit experiment produces a diffraction and an interference pattern using either:
    • The interference of two coherent wave sources 
    • A single wave source passing through a double slit
  • In this typical set-up for Young's double slit experiment:
    • The laser light source is placed behind the single slit
    • So the light is diffracted, producing two light sources at slits and B
    • The light from the double slits is then diffracted, producing a diffraction pattern made up of bright and dark fringes on a screen

Young's double slit experiment

 Double slit experiment diagram, downloadable AS & A Level Physics revision notes

Young’s double-slit experiment arrangement creates an interference pattern when light is passed through slits A and B

  • Calculations can be made for the double slit interference of light using the equation:

lambda space equals space fraction numerator space a x over denominator D end fraction

  • Where:
    • λ = wavelength of source (m)
    • a = distance between the centres of the slit (m)
    • x = fringe width (distance between successive bright fringes) (m)
    • D = distance between the slits and the screen (m)

Quantities for double slit interference equation

8-3-3-double-slit-equation-cie-new

Double slit interference equation with a, x and D represented on a diagram

  • In this experiment:
    • is much bigger than any other dimension, normally several metres long
    • s is the separation between the two slits and is often the smallest dimension, normally in mm
    • is the distance between the fringes on the screen, often in cm. This can be obtained by measuring the distance between the centre of each consecutive bright spot.
  • The above equation shows that the separation between the fringes will increase if:
    • The wavelengthλ of the incident light increases
    • The distance, s between the screen and the slits increases
    • The separation, w between the slits decreases

Worked example

A laser is placed in front of a double-slit as shown in the diagram below.WE - Double slit equation question image, downloadable AS & A Level Physics revision notesThe laser emits light of frequency 750 THz. The separation of the maxima P and Q observed on the screen is 15 mm. The distance between the double slit and the screen is 4.5 m.

Calculate the separation of the two slits.

Answer:

Step 1: Calculate the wavelength of the light

c space equals space f lambda

Step 2: Rearrange for λ and substitute in values

lambda space equals fraction numerator space c over denominator f end fraction space equals fraction numerator 3 space cross times space 10 to the power of 8 space over denominator 750 space cross times space 10 to the power of 12 end fraction space equals space 4 space cross times space 10 to the power of negative 7 end exponent space equals space 400 space nm

Step 3: State the double slit equation

lambda space equals fraction numerator space a x over denominator D end fraction

Step 4: Determine the distance between fringes

  • 15 mm is the distance between 9 bright fringes, so x needs to be divided by 9

x space equals space fraction numerator 15 cross times 10 to the power of negative 3 end exponent over denominator 9 end fraction space equals space 1.667 cross times 10 to the power of negative 3 end exponent space straight m

Step 5: Rearrange the equation and substitute in the known values to calculate

a space equals fraction numerator space lambda D over denominator x end fraction space equals space fraction numerator open parentheses 4 space cross times space 10 to the power of negative 7 end exponent close parentheses space cross times space 4.5 space over denominator 1.667 cross times 10 to the power of negative 3 end exponent end fraction space equals space 1.08 space cross times space 10 to the power of negative 3 end exponent space equals space 1.1 space mm space open parentheses 2 space straight s. straight f close parentheses

Examiner Tip

Since a, x and D are all distances, it's easy to mix up which they refer to. Labelling the double slit diagram in the way given in the notes above will help to remember the order i.e. a and x in the numerator and D underneath in the denominator.

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Katie M

Author: Katie M

Expertise: Physics

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.