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In a double-slit experiment, if the wavelength of light is 600 nm and the distan

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Question: In a double-slit experiment, if the wavelength of light is 600 nm and the distance between the slits is 0.5 mm, what is the fringe width if the screen is 1 m away?

Options:

  1. 0.12 mm
  2. 0.3 mm
  3. 0.6 mm
  4. 0.5 mm

Correct Answer: 0.12 mm

Solution: 

Fringe width β = λD/d = (600 x 10^-9 m)(1 m)/(0.5 x 10^-3 m) = 0.12 mm.

In a double-slit experiment, if the wavelength of light is 600 nm and the distan

Practice Questions

Q1
In a double-slit experiment, if the wavelength of light is 600 nm and the distance between the slits is 0.5 mm, what is the fringe width if the screen is 1 m away?
  1. 0.12 mm
  2. 0.3 mm
  3. 0.6 mm
  4. 0.5 mm

Questions & Step-by-Step Solutions

In a double-slit experiment, if the wavelength of light is 600 nm and the distance between the slits is 0.5 mm, what is the fringe width if the screen is 1 m away?
  • Step 1: Identify the given values from the problem. The wavelength of light (λ) is 600 nm, the distance between the slits (d) is 0.5 mm, and the distance from the slits to the screen (D) is 1 m.
  • Step 2: Convert the units to meters for consistency. 600 nm = 600 x 10^-9 m and 0.5 mm = 0.5 x 10^-3 m.
  • Step 3: Use the formula for fringe width (β): β = λD/d.
  • Step 4: Substitute the values into the formula: β = (600 x 10^-9 m)(1 m) / (0.5 x 10^-3 m).
  • Step 5: Calculate the numerator: 600 x 10^-9 m * 1 m = 600 x 10^-9 m.
  • Step 6: Calculate the denominator: 0.5 x 10^-3 m = 0.0005 m.
  • Step 7: Divide the numerator by the denominator: β = (600 x 10^-9 m) / (0.0005 m).
  • Step 8: Perform the division: β = 0.12 x 10^-3 m = 0.12 mm.
  • Double-slit experiment – A fundamental experiment in wave optics demonstrating the interference pattern created by light passing through two closely spaced slits.
  • Fringe width calculation – The formula for fringe width (β) is derived from the interference pattern, calculated as β = λD/d, where λ is the wavelength, D is the distance to the screen, and d is the distance between the slits.
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