Impossible2957 Impossible2957
  • 26-04-2018
  • Physics
contestada

What's the frequency of 0.19-mm-wavelength ultrasound used in fetal imaging? the waves travel at 1.5 km/s?

Respuesta :

skyluke89
skyluke89 skyluke89
  • 07-05-2018
The basic relationship between frequency, wavelength and speed of a wave is given by:
[tex]f= \frac{v}{\lambda} [/tex]
where
f is the frequency
v is the wave speed
[tex]\lambda[/tex] is the wavelength

The ultrasound wave in our problem has wavelength of
[tex]\lambda = 0.19 mm = 0.19 \cdot 10^{-3}m[/tex]
and speed of
[tex]v=1.5 km/s = 1.5 \cdot 10^3 m/s[/tex]
So its frequency is
[tex]f= \frac{v}{\lambda}= \frac{1.5 \cdot 10^3 m/s}{0.19 \cdot 10^{-3} m}=7.89 \cdot 10^6 Hz [/tex]
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