Demonstrating Interference (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

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Interference & diffraction of a laser

  • Lasers are the ideal piece of equipment to analyse diffraction and intensity patterns because they form light that is:

    • coherent (have a constant phase difference and frequency)

    • monochromatic (have the same wavelength)

A laser emitter at lower left produces a narrow, bright green beam travelling diagonally towards the upper right, with lighter green wave-like patterns inside the beam.
A laser produces a beam of coherent monochromatic light
  • The diffraction pattern produced by a laser on a screen is made up of:

    • areas of constructive interference - the bright strips or fringes

    • areas of destructive interference - the dark fringes

Diagram comparing laser diffraction patterns for 1, 2, 3, 4, 5 and 7 slits. Increasing the number of slits produces narrower, sharper bright fringes with darker regions between them.
The more slits a grating has, the sharper and more widely spaced its bright fringes
  • Other sources of light, such as a filament bulb or a sodium lamp, are non-coherent, so they produce white light

Safety issues with lasers

  • Lasers produce a very high-energy beam of light

  • This intense beam can cause permanent eye damage or even blindness

Precautions

  • It's important to use lasers safely and follow the guidelines:

    • Never look directly at a laser or its reflection

    • Don’t shine the laser towards a person

    • Don't allow a laser beam to reflect from shiny surfaces into someone else's eyes

    • Wear laser safety goggles

    • Place a ‘laser on’ warning light outside the room

    • Stand behind the laser

A yellow laser safety warning sign with a black panel reading “caution”, an exclamation-triangle symbol, and the words “laser protect eyes and skin” beside a black radiating beam symbol.
Placing a laser warning sign outside of the door is one precaution that can be taken when using lasers

Sound & EM wave interference

Using sound waves

  • Two-source interference can be demonstrated with two speakers emitting a coherent sound

Two speakers emitting overlapping coherent sound waves. Curved wavefronts show compressions and rarefactions and blue dots mark points of constructive interference.
Two speakers emitting coherent sound produce alternating loud and quiet regions
  • Sound waves are longitudinal waves made up of compressions and rarefactions

    • Constructive interference occurs when the compressions and rarefactions from each wave line up and the sound appears louder

    • Destructive interference occurs when a compression from one wave lines up with a rarefaction from the other and vice versa

      • The two waves cancel each other out, so zero sound is heard

    • This is the technology used in noise-cancelling headphones

Using microwaves

  • Two-source interference for microwaves (and other electromagnetic waves) can be detected with a moveable microwave detector

A transmitter emits waves through metal plates with two slits towards a movable detector, showing red constructive and blue destructive interference points.
A microwave interference experiment creates a diffraction pattern the same as that of a laser beam
  • The detector picks up a maximum amplitude or intensity in regions of constructive interference 

  • The detector picks up a minimum or zero amplitude, so no signal in regions of destructive interference 

Intensity variation with amplitude

  • By definition, the intensity of a wave (its power per unit area) is proportional to the energy transferred by the wave

  • The intensity of a wave at a particular point is related to the amplitude of the wave at that point

  • The energy transferred by a wave is proportional to the square of the amplitude

  • Therefore, the intensity of a wave is proportional to the square of the amplitude 

I ∝ A2

  • Where:

    • I = intensity of the wave in W m–2

    • A = amplitude of the wave in metres (m)

Worked Example

Two speakers are set up in a room and play a note of frequency 280 Hz. The waves are in phase as they leave the speakers.

A student walks 3.0 m from speaker A towards speaker B. Before moving, they initially hear a loud sound at speaker A, but as they move from speaker A towards speaker B, they hear quiet and loud sounds.

Calculate the number of quiet spots the student hears as they walk.

Speed of sound in air = 340 m s–1

[3]

Answer:

Step 1: Calculate the wavelength

wave equation: v = fλ

λ = vf = 340280 = 1.2 m [1 mark]

Step 2: Write down the condition for destructive interference

Path difference = (n + 12) λ

Step 3: Calculate the smallest path difference

  • The shortest path difference occurs when n = 0

    • Shortest path difference = λ2 = 1.22 = 0.6 m

  • Therefore, the first quiet spot is at 0.6 m [1 mark]

Step 4: Calculate the next smallest path differences

  • When n = 1:

    • Path difference = 3λ2 = 3 × 1.22 = 1.8 m [1 mark]

  • When n = 2:

    • Path difference = 5λ2 = 5 × 1.22 = 3.0 m

Step 5: Write a concluding sentence

  • Therefore, in 3.0 m the student hears three quiet spots [1 mark]

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Katie M

Author: Katie M

Expertise: Curriculum Expert

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.

Tim

Reviewer: Tim

Expertise: Content Creator

Timothy graduated with a first class degree in Mathematics and Physics from the University of Warwick. After working as a postgraduate researcher, Timothy has worked as a content creator for various online revision platforms, creating physics resources for a range of levels and exam boards.