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In a double-slit experiment, if the distance between the slits is 0.5 mm and the

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Question: In a double-slit experiment, if the distance between the slits is 0.5 mm and the wavelength of light is 400 nm, what is the distance between the first and second bright fringes?

Options:

  1. 0.4 m
  2. 0.8 m
  3. 1.2 m
  4. 1.6 m

Correct Answer: 0.8 m

Solution: 

Distance between fringes = β = λD/d. For first and second bright fringes, the distance is 2β.

In a double-slit experiment, if the distance between the slits is 0.5 mm and the

Practice Questions

Q1
In a double-slit experiment, if the distance between the slits is 0.5 mm and the wavelength of light is 400 nm, what is the distance between the first and second bright fringes?
  1. 0.4 m
  2. 0.8 m
  3. 1.2 m
  4. 1.6 m

Questions & Step-by-Step Solutions

In a double-slit experiment, if the distance between the slits is 0.5 mm and the wavelength of light is 400 nm, what is the distance between the first and second bright fringes?
  • Step 1: Identify the given values. The distance between the slits (d) is 0.5 mm, and the wavelength of light (λ) is 400 nm.
  • Step 2: Convert the units to be consistent. Convert 0.5 mm to meters: 0.5 mm = 0.5 x 10^-3 m = 0.0005 m. Convert 400 nm to meters: 400 nm = 400 x 10^-9 m = 0.0000004 m.
  • Step 3: Use the formula for the distance between fringes (β): β = λD/d. Here, D is the distance from the slits to the screen, which is not given, so we will keep it as D for now.
  • Step 4: Calculate the distance between the first and second bright fringes. The distance between the first and second bright fringes is 2β.
  • Step 5: Substitute β into the equation: Distance between first and second bright fringes = 2(λD/d).
  • Double-Slit Experiment – A fundamental experiment in wave optics demonstrating the interference pattern created by light passing through two closely spaced slits.
  • Fringe Spacing Calculation – The formula β = λD/d is used to calculate the distance between bright fringes in an interference pattern, where λ is the wavelength, D is the distance to the screen, and d is the distance between the slits.
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