Mechanical waves transmission through different mediums

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SUMMARY

Mechanical waves do not necessarily travel faster in denser mediums; rather, their speed is influenced by the medium's elasticity and bulk modulus. The equation v = sqrt(B/p) illustrates that wave speed (v) is inversely proportional to density (p) and directly related to the bulk modulus (B). As a result, waves can travel faster in less dense mediums if they possess higher elasticity. This understanding clarifies misconceptions about sound transmission in various mediums, such as air, water, and solids.

PREREQUISITES
  • Understanding of mechanical wave properties
  • Familiarity with elasticity and bulk modulus concepts
  • Basic knowledge of wave equations and relationships
  • Awareness of longitudinal vs. transverse waves
NEXT STEPS
  • Study the relationship between elasticity and wave speed in different mediums
  • Explore the concept of bulk modulus in materials science
  • Learn about the differences between longitudinal and transverse waves
  • Investigate sound transmission characteristics in various environments
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in the properties of sound transmission through different mediums.

**Mariam**
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Homework Statement


Do waves travel faster in dense or less dense mediums?

As a wave moves from a less dense to a denser medium at a boundary end what properties change? (Wavelength, speed, frequency, amplitude...)

If waves travel faster in solids then why do we hear better through air, and if we listen in water or solid it's deep and slow.

Homework Equations


-none- it's a conceptional question
But maybe these are helpful:
Frequency=1/ period
Speed=frequency*wavelength

The Attempt at a Solution



For the first question I previously thought that waves travel faster in more dense mediums, but I found this link. In the section about
"Transmission of a Pulse Across a Boundary from Less to More Dense"
It says the opposite.

So which is true ?

My second question is a result of the first and also refers to the same section in the link above. Why did the denser medium have a smaller amplitude and so did there reflected wave.

For my last question I don't have an idea on what might be the answer.Thank you for your help in helping me understand this confusing topic, because I am currently really frustrated with y lack of understanding the topic for many weeks now.
 
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I know that almost everybody I asked will tell me that mechanical waves like sound travel faster in denser medium. However that is actually not the case.
Initially I thought it had something to do with how sound is longitudinal while some other mechanical waves are transverse. I'm not sure how that relates yet.

The actual reason sound travel faster in medium that one might think to be denser is because of the 'elasticity' or 'tension' of the medium. It's about how much the medium wants to go back to its initial state.

The equation is v = sqrt(B/p) where B is the bulk modulus and p is the density. Bulk modulus is a measure of 'elasticity' of the medium. As you can see from the equation, speed is inversely proportional to density. Which means when density increase, speed actually decreases.

The reason I put ' ' on elasticity and tension is because I don't know the actual term and is my own way of explaining them.
 

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