Young's Double Slit Experiment
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Young's Double Slit Experiment

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Questions and Answers

What is the wavelength of light emitted by the common He-Ne laser?

  • 1064 nm
  • 633 nm (correct)
  • 780 nm
  • 532 nm
  • What is the maximum value that sin θ can have?

  • 1 (correct)
  • 1.5
  • 0.5
  • 2
  • What is the equation that describes constructive interference?

  • d sin θ = mλ (correct)
  • d cos θ = mλ
  • d tan θ = mλ
  • d sec θ = mλ
  • What is the highest-order constructive interference possible with the given system?

    <p>15</p> Signup and view all the answers

    What is the relationship between the angle for constructive interference and the wavelength?

    <p>The angle increases with increasing wavelength</p> Signup and view all the answers

    What is the purpose of using interference patterns?

    <p>To measure the wavelength of light</p> Signup and view all the answers

    What is the value of m that corresponds to the maximum diffraction angle?

    <p>15.8</p> Signup and view all the answers

    What is the condition for constructive interference?

    <p>d sin θ = mλ</p> Signup and view all the answers

    What is the reason why interference patterns do not have an infinite number of lines?

    <p>Because there is a limit to how big m can be</p> Signup and view all the answers

    What is the relationship between the number of fringes and the wavelength?

    <p>The number of fringes increases with increasing wavelength</p> Signup and view all the answers

    Study Notes

    Young's Double Slit Experiment

    • In 1801, Thomas Young performed the double slit experiment, which showed that light is a wave.
    • Young's experiment involved passing pure-wavelength light through a pair of vertical slits, creating a pattern of numerous vertical lines spread out horizontally on a screen.
    • The acceptance of the wave character of light came as a result of Young's experiment.
    • The wave character of light is not ordinarily observed due to the need for light to interact with something small, such as closely spaced slits, to show pronounced wave effects.
    • Young first passed light from a single source through a single slit to make the light coherent (in phase or having a definite phase relationship).
    • Then, he passed the light through a double slit, providing two coherent light sources that interfered constructively or destructively.

    Interference Patterns

    • Constructive interference occurs when identical waves are in phase, resulting in bright lines on the screen.
    • Destructive interference occurs when identical waves are exactly out of phase or shifted by half a wavelength, resulting in dark regions on the screen.
    • The light must fall on a screen and be scattered into our eyes for us to see the pattern.
    • The angles at which constructive and destructive interference occur depend on the wavelength and the distance between the slits.

    Path Length Difference and Interference

    • The path length difference between the two waves from the slits to a common point on the screen is given by d sin θ, where d is the distance between the slits and θ is the angle from the original direction of the beam.
    • For constructive interference, the path length difference must be an integral multiple of the wavelength, or d sin θ = mλ, for m = 0, 1, −1, 2, −2,...
    • For destructive interference, the path length difference must be a half-integral multiple of the wavelength, or d sin θ = (m+1/2)λ, for m = 0, 1, −1, 2, −2,...
    • The order of the interference is given by m.

    Double Slit Interference Pattern

    • The intensity of the bright fringes falls off on either side, being brightest at the center.
    • The closer the slits are, the more the bright fringes spread out.
    • Small d gives large θ, hence a large wave effect.

    Applications of Double Slit Interference

    • Interference patterns can be used to measure wavelengths.
    • The technique is still widely used to measure electromagnetic spectra.
    • For a given order, the angle for constructive interference increases with λ, so that spectra can be obtained.

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    Description

    Learn about the famous experiment that proved light is a wave, overcoming Newton's objections to Christiaan Huygens' wave theory of light.

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