IB DP Physics: HL复习笔记9.2.2 Intensity of Interference Maxima & Minima

Intensity of Interference Maxima & Minima

  • Using different sources of monochromatic light demonstrate that:
    • Increasing the wavelength increases the width of the fringes
  • The angle of diffraction of the first minima can be found using the equation:
  •  Where:
    • θ = the angle of diffraction (radians)
    • λ = wavelength (m)
    • b = slit width (m)
  • This equation explains why red light produces wider maxima
    • It is because the longer the wavelength, λ, the larger the angle of diffraction, θ
  • It also explains the coloured fringes seen when white light is diffracted
    • It is because red light (longer λ) will diffract more than blue light (shorter λ)
    • This creates fringes which are blue nearer the centre and red further out
  • It also explains why wider slits cause the maxima to be narrower
    • It is because the wider the slit, b, the smaller the angle of diffraction, θ

9-3-2-slit-width

Slit width and angle of diffraction are inversely proportional. Increasing the slit width leads to a decrease in angle of diffraction, hence the maxima appear narrower

Single Slit Geometry

  • The diffraction pattern made by waves passing through a slit of width b can be observed on a screen placed a large distance away

oRULRXAE_9-2-2-diffraction-geometry-ib-hl

The geometry of single-slit diffraction

Worked Example

A group of students are performing a diffraction investigation where a beam of coherent light is incident on a single slit with width, b.

The light is then incident on a screen which has been set up a distance, D, away.

9-2-2-we1-intensity-of-interference-ib-hl

A pattern of light and dark fringes is seen.

The teacher asks the students to change their set-up so that the width of the first bright maximum increases.

Suggest three changes the students could make to the set-up of their investigation which would achieve this.

Step 1: Write down the equation for the angle of diffraction

Change 3

    • The distance between the slit and the screen will also affect the width of the central fringe
    • A larger distance means the waves must travel further hence, will spread out more
    • Therefore, moving the screen further away would increase the fringe width

 

 

 

 

 

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