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

  • Thread starter AyooNisto
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In summary, when light of wavelength 700nm is incident normally on a fine metal foil separating two pieces of optically flat glass, 24 dark lines are observed with one at each end. Using the equation t = mλ, where m = 0,1,2,... and m = 0 corresponds to the edge where the glasses touch, the thickness of the foil can be calculated as d = (1/2)(23)(700nm) = 8.05 * 10^-6 meters.
  • #1
AyooNisto
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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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  • #2
what are the units of your answer?
 
  • #3
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?
 
  • #4
I think you are correct.
 
  • #5
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.
 

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

1. How is the thickness of foil measured?

The thickness of foil is typically measured in micrometers (μm) or mils (thousandths of an inch). It can be measured using specialized instruments such as a micrometer or caliper, or by using a ruler or measuring tape.

2. What is the standard thickness of foil?

The standard thickness of foil varies depending on the type of foil and its intended use. For household aluminum foil, the standard thickness ranges from 0.2 to 0.3 mm (8 to 12 mils). However, there are also thicker foils used for industrial applications that can range from 2 to 6 mm (80 to 240 mils).

3. Does the thickness of foil affect its strength?

Yes, the thickness of foil does affect its strength. Thicker foils are generally stronger and more durable than thinner foils. However, the type of material and the manufacturing process can also impact the strength of foil.

4. Can foil be too thick?

Yes, foil can be too thick for certain applications. Thicker foils may be more difficult to mold or shape, and can also be more expensive to produce. In some cases, a thinner foil may be more suitable for the desired use.

5. How does the thickness of foil impact its ability to conduct heat?

The thickness of foil can impact its ability to conduct heat. Thicker foils tend to have a lower thermal conductivity, meaning they are less efficient at transferring heat. Thinner foils, on the other hand, have a higher thermal conductivity and can conduct heat more quickly.

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