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In Young's double-slit experiment, if the distance between the slits is 0.2 mm a

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Question: In Young\'s double-slit experiment, if the distance between the slits is 0.2 mm and the distance from the slits to the screen is 1 m, what is the distance between the first and second bright fringes?

Options:

  1. 0.1 mm
  2. 0.2 mm
  3. 0.4 mm
  4. 0.6 mm

Correct Answer: 0.4 mm

Solution: 

Distance between fringes (y) = (λD)/d. Assuming λ = 500 nm, y = (500 x 10^-9 * 1)/(0.2 x 10^-3) = 0.0025 m = 0.25 mm. Distance between first and second bright fringes = 0.4 mm.

In Young's double-slit experiment, if the distance between the slits is 0.2 mm a

Practice Questions

Q1
In Young's double-slit experiment, if the distance between the slits is 0.2 mm and the distance from the slits to the screen is 1 m, what is the distance between the first and second bright fringes?
  1. 0.1 mm
  2. 0.2 mm
  3. 0.4 mm
  4. 0.6 mm

Questions & Step-by-Step Solutions

In Young's double-slit experiment, if the distance between the slits is 0.2 mm and the distance from the slits to the screen is 1 m, what is the distance between the first and second bright fringes?
  • Step 1: Identify the given values from the problem. The distance between the slits (d) is 0.2 mm, the distance from the slits to the screen (D) is 1 m, and we assume the wavelength (λ) is 500 nm.
  • Step 2: Convert all measurements to the same unit. Convert 0.2 mm to meters: 0.2 mm = 0.2 x 10^-3 m. Convert 500 nm to meters: 500 nm = 500 x 10^-9 m.
  • Step 3: Use the formula for the distance between fringes (y) which is y = (λD)/d.
  • Step 4: Substitute the values into the formula: y = (500 x 10^-9 m * 1 m) / (0.2 x 10^-3 m).
  • Step 5: Calculate the value: y = (500 x 10^-9) / (0.2 x 10^-3) = 0.0025 m.
  • Step 6: Convert the distance y from meters to millimeters: 0.0025 m = 0.25 mm.
  • Step 7: The distance between the first and second bright fringes is twice the distance between the fringes: 2y = 2 * 0.25 mm = 0.5 mm.
  • Young's Double-Slit Experiment – A demonstration of the wave nature of light, showing interference patterns created by light passing through two closely spaced slits.
  • Interference Pattern Calculation – The mathematical relationship used to calculate the distance between bright fringes in an interference pattern.
  • Wavelength and Fringe Spacing – Understanding how the wavelength of light and the geometry of the setup affect the spacing of interference fringes.
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