Relationship between temperature and wavelength?

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SUMMARY

The discussion centers on the relationship between temperature and the wavelength of sound emitted by a tuning fork with a frequency of 420 Hz. As the temperature of the air increases, the speed of sound also increases, leading to an increase in wavelength. This phenomenon occurs because higher temperatures cause air particles to move more rapidly, effectively spreading them apart and allowing sound waves to travel faster. The relevant equation connecting wave speed, wavelength, and frequency is crucial for understanding this relationship.

PREREQUISITES
  • Understanding of wave mechanics, specifically the relationship between frequency, wavelength, and wave speed.
  • Familiarity with the equation: wave speed = frequency × wavelength.
  • Basic knowledge of how temperature affects the properties of gases.
  • Concept of sound propagation in different mediums.
NEXT STEPS
  • Study the equation relating wave speed, frequency, and wavelength in detail.
  • Research the effects of temperature on sound speed in various gases.
  • Explore the concept of adiabatic processes in gases and their impact on sound propagation.
  • Investigate the practical applications of temperature effects on sound in fields such as acoustics and meteorology.
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in the principles of sound propagation and temperature effects on wave behavior.

SpicyWassabi101
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Homework Statement


A tuning fork with a frequency of 420 Hz emits sound with a wavelength of 0.82 m in air. If the temperature of the air increases, what will happen to the wavelength and why?

Homework Equations



The Attempt at a Solution


I know temperature affects speed but I am not so sure how it affects wavelength.
Maybe:
When the temperature increases the speed will increase, therefore the wavelength will increase because the particles are spread apart? ( Just a thought)

Please explain, any help appreciated!
 
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SpicyWassabi101 said:

Homework Statement


A tuning fork with a frequency of 420 Hz emits sound with a wavelength of 0.82 m in air. If the temperature of the air increases, what will happen to the wavelength and why?

Homework Equations



The Attempt at a Solution


I know temperature affects speed but I am not so sure how it affects wavelength.
Maybe:
When the temperature increases the speed will increase, therefore the wavelength will increase because the particles are spread apart? ( Just a thought)

Please explain, any help appreciated!
You did not list the Relevant Equation that relates wave speed, wavelength and frequency. Use the units of the quantities to help you write the equation without looking it up... :smile:
 

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