Calculating Fringe Positions in Two-Slit Interference Patterns

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To calculate the position of the third-order bright fringe in a two-slit interference pattern, the relationship between the positions of dark and bright fringes must be understood. The distance from the central bright fringe to the fifth-order dark fringe is given as 45.0 mm, which can be used to derive the necessary parameters for the bright fringe calculation. The relevant equations involve the wavelength of light and the geometry of the setup, although specific values for these variables are not provided. By applying the principles of interference and the known distances, the position of the third-order bright fringe can be determined. Understanding the relationship between dark and bright fringes is crucial for solving this problem effectively.
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Homework Statement


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Light passing through a two-slit grating makes a pattern on a screen located 500 mm away. In this pattern, the fifth-order dark fringe is 45.0 mm from the central bright fringe. How far from the central bright fringe is the third-order bright fringe?

Homework Equations


This is what I'm looking for help on.

The Attempt at a Solution


I'm not even sure which equations to use to solve this. Any ideas?
 
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You got a textbook you are working with? Is there a section on two slit interference (aka Young's double slit experiment)? What equation does it give there?
 
it's not in my book. any ideas?
How do i go about this with a dark fringe and a bright fringe if i don't know the wavelength or slit width?GOT IT.
 
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