Calculate Resonance Wavelength?

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SUMMARY

The resonance wavelength of gas in a resonance tube can be calculated using the relationship between frequency and wavelength. The formula for wavelength is given by λ = v/f, where v is the speed of sound in the gas and f is the frequency. To determine the resonance wavelength from 1/2 wavelength measurements, one must multiply the measured half wavelength by 2, resulting in λ = 2 * (1/2 wavelength). This approach effectively derives the full wavelength from the half measurements.

PREREQUISITES
  • Understanding of wave properties, specifically wavelength and frequency.
  • Knowledge of the speed of sound in gases.
  • Familiarity with resonance phenomena in physics.
  • Basic algebra for manipulating equations.
NEXT STEPS
  • Research the speed of sound in various gases and its impact on resonance calculations.
  • Explore the principles of resonance in tubes and their applications in acoustics.
  • Study the derivation of wave equations and their relevance to resonance phenomena.
  • Learn about experimental methods for measuring wavelengths in resonance tubes.
USEFUL FOR

Students in physics, particularly those studying wave mechanics and resonance, as well as educators looking to explain resonance phenomena in practical applications.

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Calculate Resonance Wavelength??

Homework Statement


Ive been asked to calculate the resonance wavelength of gas in a resonance tube.
What I have to calculate this with is the frequency f and the average difference of length between each 1⁄2 wavelength measurement. It says calculate it using these 2 things and I can't find a formula to do this with.

Homework Equations





The Attempt at a Solution



I know a normal wavelength is v/f but I don't know how to calculate this using the difference between 1/2 wavelength measurements.
 
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Solved, the resonance wavelength is simply 2x the 1/2 wavelength...
 


Can you explain this more?
 

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