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In a double-slit experiment, if the distance between the slits is 0.1 mm and the

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Question: In a double-slit experiment, if the distance between the slits is 0.1 mm and the screen is 1 m away, what is the fringe separation for light of wavelength 500 nm? (2020)

Options:

  1. 0.5 mm
  2. 0.1 mm
  3. 0.2 mm
  4. 0.3 mm

Correct Answer: 0.5 mm

Exam Year: 2020

Solution: 

Fringe separation (β) = λD/d = (500 x 10^-9 m)(1 m)/(0.1 x 10^-3 m) = 0.5 mm.

In a double-slit experiment, if the distance between the slits is 0.1 mm and the

Practice Questions

Q1
In a double-slit experiment, if the distance between the slits is 0.1 mm and the screen is 1 m away, what is the fringe separation for light of wavelength 500 nm? (2020)
  1. 0.5 mm
  2. 0.1 mm
  3. 0.2 mm
  4. 0.3 mm

Questions & Step-by-Step Solutions

In a double-slit experiment, if the distance between the slits is 0.1 mm and the screen is 1 m away, what is the fringe separation for light of wavelength 500 nm? (2020)
  • Step 1: Identify the given values from the problem. The distance between the slits (d) is 0.1 mm, the distance to the screen (D) is 1 m, and the wavelength of light (λ) is 500 nm.
  • Step 2: Convert all measurements to the same unit. Convert 0.1 mm to meters: 0.1 mm = 0.1 x 10^-3 m. Convert 500 nm to meters: 500 nm = 500 x 10^-9 m.
  • Step 3: Use the formula for fringe separation (β): β = λD/d.
  • Step 4: Substitute the values into the formula: β = (500 x 10^-9 m)(1 m) / (0.1 x 10^-3 m).
  • Step 5: Calculate the numerator: 500 x 10^-9 m * 1 m = 500 x 10^-9 m.
  • Step 6: Calculate the denominator: 0.1 x 10^-3 m = 0.1 x 10^-3 m.
  • Step 7: Divide the numerator by the denominator: β = (500 x 10^-9 m) / (0.1 x 10^-3 m).
  • Step 8: Perform the division: β = 5000 x 10^-6 m = 0.5 mm.
  • Double-slit experiment – A fundamental experiment in wave optics demonstrating the interference pattern created by coherent light passing through two closely spaced slits.
  • Fringe separation formula – The formula β = λD/d is used to calculate the distance between interference fringes, where λ is the wavelength, D is the distance to the screen, and d is the distance between the slits.
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