Double-Slit Experiment Concepts
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Questions and Answers

What is the relationship between the wavelength $ ext{λ}$ and the fringe separation $x$ in a double-slit experiment?

  • $ ext{λ} = rac{a imes D}{x}$
  • $ ext{λ} = rac{x imes D}{a}$
  • $ ext{λ} = rac{D imes a}{x}$
  • $ ext{λ} = rac{x imes a}{D}$ (correct)

    • In the context of the double-slit experiment, what assumption allows the simplification that $ ext{sin} θ₁$ and $ ext{tan} θ₂$ are approximately equal?

  • The wavelength λ is much larger than the slit separation a.
  • The distance D is significantly greater than a. (correct)
  • The distance D is equal to the slit separation a.
  • The angles θ₁ and θ₂ are very large.

    • What does the path difference S₁P equal in the case of the bright fringe observed in the double-slit experiment?

  • Twice the wavelength λ
  • One-half of the wavelength λ
  • Zero
  • An entire wavelength λ (correct)

    • How does the angle approximation in a double-slit experiment affect the measurement of fringe separation?

    <p>It simplifies calculations involving D and a.</p> Signup and view all the answers

    Which condition must hold true for the double-slit experiment to produce a clear interference pattern?

    <p>The light rays from slits S₁ and S₂ must be parallel.</p> Signup and view all the answers

    What is the primary purpose of the single slit in the Young double-slit experiment?

    <p>To diffract the light and define the wavelength.</p> Signup and view all the answers

    What creates the alternating bright and dark regions observed on the screen in the experiment?

    <p>Interference of coherent waves from the slits.</p> Signup and view all the answers

    Why is monochromatic light used in the Young double-slit experiment?

    <p>To ensure a single wavelength is used for accurate measurement.</p> Signup and view all the answers

    In the context of the Young double-slit experiment, what does 'coherent waves' refer to?

    <p>Waves that have constant phase relationships.</p> Signup and view all the answers

    What role do the double slits play in producing the interference pattern?

    <p>They act as sources of coherent light waves.</p> Signup and view all the answers

    How does the Young double-slit experiment contribute to our understanding of wave optics?

    <p>By showing the wave nature of light through interference patterns.</p> Signup and view all the answers

    What physical property of light can be determined using the Young double-slit experiment?

    <p>The wavelengths of different colors of visible light.</p> Signup and view all the answers

    What results from the diffraction of light as it passes through the single slit in the experiment?

    <p>A coherent wavefront suitable for interference.</p> Signup and view all the answers

    What is the significance of the path difference $S_1P$ in a double-slit experiment?

    <p>It must equal a whole wavelength $ ext{(} au ext{)}$.</p> Signup and view all the answers

    Under what condition is the formula $eta = rac{ax}{D}$ valid?

    <p>When the distance between the slits is much smaller than the distance from the slits to the screen.</p> Signup and view all the answers

    Which variable in the equation $eta = rac{ax}{D}$ represents the wavelength of light?

    <p>$ ext{(}eta ext{)}$</p> Signup and view all the answers

    How is the angle approximately expressed when $ heta$ is small in the context of a double-slit experiment?

    <p>$ an heta ext{ is replaced by } rac{x}{D}$</p> Signup and view all the answers

    What kind of light is necessary for the double-slit experiment to determine wavelength accurately?

    <p>Monochromatic light that is in phase</p> Signup and view all the answers

    What does the variable $a$ represent in the equation $eta = rac{ax}{D}$?

    <p>Distance between the slits</p> Signup and view all the answers

    If the distance between the slits ($a$) is doubled, how does it affect the wavelength calculated using $eta = rac{ax}{D}$?

    <p>The wavelength will double.</p> Signup and view all the answers

    In a double-slit experiment, what happens to the fringe pattern if the screen distance $D$ is halved?

    <p>The fringes will become closer together.</p> Signup and view all the answers

    In the context of the double-slit experiment, what is the role of the central bright fringe?

    <p>It serves as the zero order maxima.</p> Signup and view all the answers

    What is the primary factor that distinguishes the double-slit experiment from other diffraction patterns?

    <p>The use of monochromatic light.</p> Signup and view all the answers

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