How to find energy of sound wave

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SUMMARY

The discussion centers on determining which sound wave has the greatest energy in room temperature air. The options include a wave with a wavelength of 4.7 (units unclear), a wave with a frequency of 2.6 Hz, and a wave with a distance between adjacent nodes of 21 mm. The correct approach involves using the equation v = f x λ, leading to the conclusion that the wave with a frequency of 1633 Hz (derived from option C) has the highest energy, as higher frequency correlates with greater energy in sound waves.

PREREQUISITES
  • Understanding of sound wave properties, including frequency and wavelength.
  • Familiarity with the equation v = f x λ (wave speed equation).
  • Knowledge of the relationship between frequency and energy in sound waves.
  • Basic concepts of nodes and wavelengths in wave mechanics.
NEXT STEPS
  • Study the relationship between frequency and energy in sound waves.
  • Learn about wave properties, specifically how to calculate wavelength and frequency.
  • Explore the concept of nodes and antinodes in wave mechanics.
  • Investigate the effects of temperature on sound wave propagation in air.
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Students studying physics, particularly those focusing on wave mechanics, acoustics, or sound energy calculations.

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Homework Statement


In room temperature air, which of the following sound waves would have the greatest energy associated with it?

A. A wave with lambda equal to 4.7 on
B. A wave with a frequency of 2.6 Hz
C. A wave which has a distance between adjacent nodes (1/2lambda) of 21mm


Homework Equations


v = f x lambda ?
maybe KE = 1/2mv^2 and PE = PGH?
no idea.


The Attempt at a Solution


I'm not exactly sure what an "on" is (referring to letter A, unless that's supposed to be inches? not sure).

A =
?
B = 2.6 Hz
already stated
C = 1633Hz, so above B.
343 = f x .021
343/.21 = 1633Hz
I know higher frequency = higher energy.. so I know The answer is either A or C. Since I don't know what an "on" is, I'm having trouble solving for it. Thanks.
 
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I'm so confused :*(
 

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