How Does Sound Speed Affect Pressure Amplitude in Ultrasound?

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Homework Help Overview

The discussion revolves around an ultrasound problem involving the relationship between sound speed and pressure amplitude at a boundary between two media. The original poster is tasked with calculating the ratio of pressure amplitudes for incident and reflected waves when the second medium has a higher speed of sound.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster expresses confusion regarding the variables 'c' and 'v' in the context of the equations provided, questioning whether they represent speed and if the formula might be misapplied. Other participants mention the Fresnel equations, indicating a potential direction for exploring wave behavior at boundaries.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the definitions of variables and the applicability of certain equations. There is no consensus yet, as participants are still exploring the implications of the formulas and the relationships between the variables.

Contextual Notes

Participants are grappling with the definitions of terms in the equations and whether sufficient information is provided to solve the problem. The original poster questions if the information given is adequate for the calculations required.

Emir Kano
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Homework Statement



Consider an ultrasound beam incident normal to a boundary between two media with the same density, but
where the speed of sound in the second medium is 50 percent larger than that in the first. Calculate the ratio
between the pressure amplitudes of the incident and reflected waves.

Homework Equations



Wave velocity c (ms-1) = wavelength λ (m) x frequency f (Hz)

p = βcv
p = presuure
β = density
c= speed
v= ? (speed as well ?

The Attempt at a Solution



Im confused as to what the c and v are in this case.

I have tried searching and some places are saying its speed squared.

Or have I got the wrong formula and its some derivation.

But I am lost. Is there enough info to answer the question ?
 
Physics news on Phys.org
anyone ?
 
no one lol ?
 
Fresnel equations?
 
ideasrule said:
Fresnel equations?

I think Its not that its to do with the p = βcv

But I don't know what the 'c' and 'v' are. In this case do they both stand for speed. In which case the formula becomes p=βc^2. Or is it something completley different.
 

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