Physics - Double-Slit Experiment
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Questions and Answers

What is the primary cause of dark fringes in a double-slit experiment?

  • Destructive interference (correct)
  • Refraction of light
  • Constructive interference
  • Reflection of light

Which formula calculates the position of dark fringes in a double-slit experiment?

  • sinθ=mλ/a
  • sinθ=(m+1/2)λ/d (correct)
  • sinθ=(m+1/2)λ/a
  • sinθ=mλ/d

In the formula y_m = mλL/d, what does d represent?

  • Slit width
  • Distance from slit to screen
  • Distance between slits (correct)
  • Wavelength of light

What happens to the fringe spacing y_m if the wavelength λ is increased?

<p>It increases (A)</p> Signup and view all the answers

What is the effect of increasing the distance d between slits in a double-slit setup?

<p>Fringes move closer (A)</p> Signup and view all the answers

Which property of light is demonstrated by the creation of bright and dark fringes?

<p>Diffraction (D)</p> Signup and view all the answers

What is the order m of the central bright fringe in a double-slit experiment?

<p>0 (B)</p> Signup and view all the answers

What does the angle θ represent in the equations for interference and diffraction?

<p>Angle of diffraction (B)</p> Signup and view all the answers

How is the position of bright fringes calculated in a double-slit setup?

<p>sinθ=mλ/d (A)</p> Signup and view all the answers

What happens to fringe spacing if the distance between the screen and slits L is doubled?

<p>It doubles (B)</p> Signup and view all the answers

What kind of light is most commonly used in double-slit experiments to observe interference patterns?

<p>Monochromatic light (A)</p> Signup and view all the answers

If the slit width is decreased in a single-slit experiment, what happens to the central maximum?

<p>It widens (B)</p> Signup and view all the answers

What is the role of λ in the equation y_m = mλL/d?

<p>To represent the wavelength of light (A)</p> Signup and view all the answers

What condition must be met for constructive interference in a double-slit setup?

<p>Path difference equals mλ (A)</p> Signup and view all the answers

What adjustment will increase the number of observable fringes in a double-slit experiment?

<p>Increase the screen distance (D)</p> Signup and view all the answers

Which of the following statements is true regarding fringe spacing y_m in a double-slit experiment?

<p>y_m is directly proportional to the wavelength of light. (C)</p> Signup and view all the answers

For a single-slit diffraction pattern: If the slit width a is halved, which of the following is correct?

<p>The central maximum width doubles. (C)</p> Signup and view all the answers

Which of the following numerical relationships is correct for the second-order dark fringe in a single-slit diffraction setup where a=0.05 mm, L=2.0 m, and λ=650 nm?

<p>y_m=0.052 m (A)</p> Signup and view all the answers

Which of the following adjustments will result in no visible interference pattern in a double-slit experiment?

<p>Increasing the slit width to be greater than the wavelength of light. (A)</p> Signup and view all the answers

Given a single-slit diffraction pattern with slit width a=0.1 mm and wavelength λ=500 nm, which of the following values for θ corresponds to the first-order minimum?

<p>0.29° (C)</p> Signup and view all the answers

Flashcards

Dark Fringes in Double-Slit

Dark fringes in a double-slit experiment are formed by destructive interference of light waves.

Dark Fringe Equation

sinθ = (m + 1/2)λ/d, where θ is the angle, m is the order, λ is the wavelength, and d is the slit separation.

Slit Separation (d)

The distance between the two slits in a double-slit experiment.

Fringe Spacing (ym)

The distance between successive bright or dark fringes on a screen.

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Increased Wavelength Effect

Increasing the wavelength of light increases the fringe spacing.

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Increasing Slit Separation

Increasing the distance between the slits causes the fringes to move closer together.

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Interference and Diffraction

Bright and dark fringes in a double-slit experiment are a demonstration of light's wave-like nature, specifically interference and diffraction.

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Central Bright Fringe Order

The order (m) of the central bright fringe is 0.

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Angle θ in Interference/Diffraction

Angle from the central maximum to the interference/diffraction fringe.

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Bright Fringe Calculation

sinθ = mλ/d, where m is the order of the bright fringe.

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Increased Screen Distance Effect

Doubling the distance between the slits and the screen doubles the fringe spacing.

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Monochromatic Light

Light of a single color and wavelength used to observe visible interference patterns.

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Decreased Slit Width (single-slit)

Decreasing the slit width widens the central maximum in a single-slit diffraction pattern.

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Wavelength's Role (ym)

Wavelength (λ) represents the wavelength of the light in the equation ym = mλL/d.

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Constructive Interference Condition

Constructive interference in a double-slit setup occurs when the path difference is an integer multiple of the wavelength (mλ).

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Increasing Screen Distance Effect

Increasing the distance between the slits and the screen increases the number of observable fringes.

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Fringe Spacing Proportionality

Fringe spacing (ym) is directly proportional to the wavelength (λ) and the distance to the screen (L), and inversely proportional to the slit separation (d).

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Halving Slit Width (single-slit)

Halving the slit width in a single-slit experiment doubles the width of the central maximum.

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No Interference Pattern Condition

In a double-slit experiment, no interference pattern will be observed if the slit width is greater than the wavelength of light.

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Study Notes

Double-Slit Experiment

  • Dark Fringes: Caused by destructive interference.
  • Dark Fringe Formula: sinθ = (m + 1/2)λ/d, where:
    • θ is the angle of the dark fringe.
    • m is the order of the fringe (an integer).
    • λ is the wavelength of light.
    • d is the distance between the slits.
  • d (in the formula): Represents the distance between the slits.
  • Wavelength Increase: Increases the fringe spacing (ym).
  • Slit Separation Increase (d): Causes fringes to move closer together.
  • Bright Fringe Calculation: sinθ = mλ/d , where m is the fringe order
  • Central Bright Fringe: Order m = 0.
  • θ (angle): Represents the diffraction angle.
  • Bright Fringe Position Calculation: sinθ = mλ/d, m is the fringe order
  • Screen Distance Increase (L): Causes a doubling of fringe spacing.
  • Light Source: Monochromatic light is used for clear interference patterns.
  • Single-Slit Diffraction: Decreasing slit width (a) increases the width of the central maximum.
  • λ (in the formula): Represents the light wavelength.

Interference Conditions

  • Constructive Interference: Path difference = mλ, where m is an integer.
  • Increasing Screen Distance: Increases the number of observable fringes.
  • Fringe Spacing (ym): Directly proportional to λ and L, inversely proportional to d.
  • Single Slit Diffraction Pattern and Slit Width Change: If the slit width is halved, the central maximum width doubles.

Single-Slit Diffraction

  • Slit Width and Central Maximum: Decreasing slit width increases the central maximum width.
  • First-Order Minimum Conditions: This is linked directly to the angle θ associated with this order, as well as the wavelength λ of light used and slit width a.
  • Minimizing Interference Patterns: Increasing the slit width to be greater than the wavelength results in no visible interference pattern.

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Description

This quiz covers the Double-Slit Experiment, emphasizing the concepts of dark and bright fringes, interference patterns, and the relevant formulas. Understand how factors like wavelength and slit separation influence fringe spacing. Test your knowledge on this fundamental physics experiment.

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