How do I determine the number of fringes in Thermal Expansion Lab?

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SUMMARY

The discussion focuses on calculating the number of fringes observed during a thermal expansion experiment involving a copper bar. The coefficient of thermal expansion for copper is established as 16.7 x 10^-6 K^-1, and the initial length of the bar is 0.15m. The user correctly identifies the formula for linear expansion, l_{T}=l_{T_{0}}\left[1+\alpha \left(T-T_{0}\right)\right], to find the change in length (delta L) as the temperature decreases from 50 to 22 degrees Celsius. The relationship between delta L and wavelength is noted, but the user seeks clarification on how to convert this into the number of observable fringes.

PREREQUISITES
  • Understanding of thermal expansion coefficients, specifically for copper.
  • Familiarity with the formula for linear thermal expansion.
  • Knowledge of wave interference and fringe formation.
  • Basic principles of optics related to intensity changes in light beams.
NEXT STEPS
  • Research the relationship between change in length (delta L) and wavelength in wave optics.
  • Learn how to calculate the number of fringes using the formula for fringe visibility in interference patterns.
  • Explore the concept of intensity variation in light beams due to thermal expansion effects.
  • Study practical applications of thermal expansion in laboratory settings and related experiments.
USEFUL FOR

Students and educators in physics, particularly those involved in experimental labs focusing on thermal expansion and wave optics. This discussion is beneficial for anyone looking to understand the relationship between thermal changes and optical phenomena.

ricola_pak
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Thermal Expansion Lab

I'm trying to do the Prelab question 2 in the above lab.

These are the steps I'm taking, please correct me if I am wrong, and please assist me where I need help, thanks!

1) The expansion coefficient of copper is 16.7*10^-6 K^-1, and the length of the bar of copper is 0.15m. To find out how much the bar contracts as it cools from 50 to 22 degrees, do I simply multiply the coefficient by (50-22) and multiply this to the length of the bar?

2) Now, to find out how many fringes I will see as this process occurs, what should I do?

In the first step I have obtained delta L, the change in length of the bar. I also know the relationship delta L = wavelength/2. So I can find out the wavelength, but how does that tell me how many fringes I will be seeing?

3) On the bottom of page 1, it says that the relative changes in length will result in changing the intensity from zero to twice of the original beam... I am not too sure where I can see this relationship?


Thanks a lot!
 
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For the first part,i'm sure the formula that u have to use is

[tex]l_{T}=l_{T_{0}}\left[1+\alpha \left(T-T_{0}\right)\right][/tex]

Daniel.
 
Thanks Daniel. Can anyone else help me to relate this to how many fringes I should observe?
 

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