What is the correct thickness of the foil based on the observed dark lines?

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Homework Help Overview

The problem involves determining the thickness of a fine metal foil based on the observation of dark lines when light of a specific wavelength is incident on it. The context is related to optics and interference patterns.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the number of dark lines observed and the thickness of the foil, referencing the equation for thickness in terms of wavelength and fringe order. There is questioning about the correct interpretation of the fringe order and the calculation of thickness.

Discussion Status

Some participants are exploring the calculation of thickness and questioning the units of the result. There is acknowledgment of a potential error in unit conversion, and one participant expresses uncertainty about their previous calculations.

Contextual Notes

Participants are navigating the requirement to express the answer in meters rather than micrometers, which has led to confusion in the calculations.

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Homework Statement


A fine metal foil separates one end of two pieces of optically flat glass, as in Figure 24-33 in the textbook. When light of wavelength 700nm is incident normally, 24 dark lines are observed (with one at each end).

How thick is the foil?

Homework Equations


t = mλ, m = 0,1,2,...

The Attempt at a Solution


because m = 0 corresponds to the edge where the glasses touch m+1 represents the number of the fringe so the thickness of the foil is

d = (1/2)(23)(700nm)
d = 8.05 * 10 ^ -6 this is not the right answer and i don't understand why where am i going wrong
 
Last edited:
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what are the units of your answer?
 
the answer i keep getting is 8.05 * 10^-6 which i guesss would be a micrometer ( i edited that above) which i guess would be but the answer has to be in meters.
barryj said:
what are the units of your answer?
 
I think you are correct.
 
wow yeah, the problem was i wasnt putting in the *10^-6... thanks for your help stupid mistake on my part.
barryj said:
I think you are correct.
 

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