Question
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E6. For the same conditions described in exercise 5, at what
distance from the center of the screen will the fourth dark
fringe appear?

Ask by Frazier Montgomery. in the United States
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

To find the distance from the center of the screen where the fourth dark fringe appears, use the formula:
Where:
  • = distance to the dark fringe
  • for the fourth fringe
  • = wavelength
  • = distance from slits to screen
  • = slit separation
Plug in the known values and calculate to find the exact distance.

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The Deep Dive

To find the distance from the center of the screen where the fourth dark fringe appears in a double-slit interference pattern, you can use the formula for dark fringes, which is:
Here, represents the distance of the m-th dark fringe from the center, is the wavelength of light, is the distance to the screen from the double slits, is the distance between the slits, and is the order of the dark fringe (0, 1, 2,…).
For the fourth dark fringe, (since we start counting from 0). Simply plug in the values for , , and to find .
And voila! You’ve determined the position of the fourth dark fringe!

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