Velocity of Longitudinal Waves

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SUMMARY

The formula for wave velocity, defined as velocity = wavelength * frequency, is universally applicable to all types of waves, including longitudinal waves such as sound waves. This relationship holds true regardless of the medium through which the wave travels. However, the velocity of sound in solids is specifically calculated using the formula v = √(Y/ρ), where Y represents the Young's modulus and ρ denotes the density of the material. This distinction highlights the different methods of calculating wave velocity based on the wave type and medium properties.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with longitudinal waves
  • Knowledge of Young's modulus (Y) and density (ρ)
  • Basic grasp of frequency and wavelength concepts
NEXT STEPS
  • Research the properties of longitudinal waves in different media
  • Study the derivation and applications of the wave velocity formula
  • Explore the relationship between Young's modulus and wave propagation in solids
  • Investigate sound wave behavior in various materials and conditions
USEFUL FOR

Physics students, acoustics engineers, and anyone interested in wave mechanics and sound propagation in different media.

zorro
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Does the formula for velocity of the wave = wavelength * frequency hold true for longitudinal waves (like sound wave) also? If yes then we don't find the velocity of sound by any such formula. Moreover, is the wavelength and frequency defined for longitudinal waves?
 
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Velocity of the wave = wavelength * frequency holds true for any wave.
 
Why is the velocity of sound in solids given by v = √(Y/ρ) ?
 

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