What Is the Wavelength of Ultrasound in the Human Body?

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Homework Help Overview

The discussion revolves around calculating the wavelength of ultrasound in the human body, specifically using a frequency of 4.25 MHz and a speed of sound approximated to that in salt water (1.50 km/s).

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore the relationship between speed, frequency, and wavelength, with some questioning the conversion of units from kilometers to meters.

Discussion Status

There is an ongoing examination of the calculations involved, with some participants correcting earlier mistakes and confirming the revised values. Multiple interpretations of the unit conversion are being explored.

Contextual Notes

Participants are addressing potential errors in unit conversion and the implications for the final wavelength calculation.

whitehorsey
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1. Ultrasound with a frequency of 4.25MHz can be used to produce images of the human body. If the speed of sound in the body is the same as in salt water 1.50km/s, what is the wavelength in the body?



2. v= wavelength(f)
M = 10^6




3. v= wavelength(f)
wavelength = v/f
= .0015/4250000
= 3.53 x 10^-10 m
I'm not sure if this is right.
 
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wavelength = v/f
= .0015/4250000

This step is wrong. 1.5km = ...m?
 


rl.bhat said:
wavelength = v/f
= .0015/4250000

This step is wrong. 1.5km = ...m?

o sorry my mistake
um so it should be (1500/4250000) which equals 3.53 x 10^-4 m?
 


That is right.
 


rl.bhat said:
That is right.

thank you again! :]
 

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