How Far Is the Farther Slit from the Nearer Slit in a Double Slit Experiment?

AI Thread Summary
In a double slit experiment with light of wavelength 500 nm, the distance difference to the m = 2 bright fringe is questioned. The relevant equations include the path difference formula, δ = r2 - r1 = d sin(θ), and the condition for bright fringes, d sin(θbright) = mλ. The discussion highlights that without specific values for the slit separation (d) or the angle (θ), a precise numerical solution cannot be determined. It is suggested that the path difference for the m = 2 fringe could generally be two wavelengths. The conclusion emphasizes the need for additional information to provide a specific answer.
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Homework Statement



Light of wavelength 500 nm illuminates a double slit, and the interference pattern is observed on the screen. At the position of the m = 2 bright fringe, how much farther is it to the farther slit than to the nearer slit?


Homework Equations



\delta= r_{2}-r_{1}=dsin(\theta)
dsin(\theta_{bright})=m\lambda


The Attempt at a Solution



Am I wrong in thinking that it is impossible to get a specific solution to this problem? Without being given the distance the slits are apart, d, or the theta angle the problem can only be solved generally, correct?
 
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Wouldn't it just be two wavelengths?
 

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