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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 distance to the screen is 2 m, what is the distance between the first and second bright fringes if the wavelength of light used is 500 nm?

Options:

  1. 0.5 cm
  2. 1 cm
  3. 1.5 cm
  4. 2 cm

Correct Answer: 1 cm

Solution: 

Using the formula for fringe separation, y = (λD)/d, we find y = (500 x 10^-9 m * 2 m) / (0.5 x 10^-3 m) = 2 cm.

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 distance to the screen is 2 m, what is the distance between the first and second bright fringes if the wavelength of light used is 500 nm?
  1. 0.5 cm
  2. 1 cm
  3. 1.5 cm
  4. 2 cm

Questions & Step-by-Step Solutions

In a double-slit experiment, if the distance between the slits is 0.5 mm and the distance to the screen is 2 m, what is the distance between the first and second bright fringes if the wavelength of light used is 500 nm?
  • Step 1: Identify the given values from the problem. The distance between the slits (d) is 0.5 mm, the distance to the screen (D) is 2 m, and the wavelength of light (λ) is 500 nm.
  • Step 2: Convert all measurements to meters for consistency. 0.5 mm = 0.5 x 10^-3 m and 500 nm = 500 x 10^-9 m.
  • Step 3: Use the formula for fringe separation, which is y = (λD) / d.
  • Step 4: Substitute the values into the formula: y = (500 x 10^-9 m * 2 m) / (0.5 x 10^-3 m).
  • Step 5: Calculate the numerator: 500 x 10^-9 m * 2 m = 1000 x 10^-9 m = 1 x 10^-6 m.
  • Step 6: Calculate the denominator: 0.5 x 10^-3 m = 0.0005 m.
  • Step 7: Now divide the numerator by the denominator: (1 x 10^-6 m) / (0.0005 m) = 2 x 10^-3 m.
  • Step 8: Convert the result from meters to centimeters: 2 x 10^-3 m = 2 cm.
  • 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 y = (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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