Questions: If a wavelength of 1 / 2 mm is traveling through soft tissue, what is the approximate frequency?
3.08 MHz
1.54 MHz
.77 MHz
.38 MHz
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Question 25
1 pts
If a wavelength of $1 / 2 \mathrm{~mm}$ is traveling through soft tissue, what is the approximate frequency?
3.08 MHz
1.54 MHz
.77 MHz
.38 MHz
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Solution
Solution Steps
Step 1: Understand the Relationship Between Wavelength, Frequency, and Speed of Sound
The relationship between the wavelength (\(\lambda\)), frequency (\(f\)), and the speed of sound (\(v\)) in a medium is given by the equation:
\[ v = f \lambda \]
Step 2: Identify the Given Values
Wavelength (\(\lambda\)) = \( \frac{1}{2} \) mm = 0.5 mm = \( 0.0005 \) m
Speed of sound in soft tissue (\(v\)) is approximately \( 1540 \) m/s
Step 3: Rearrange the Equation to Solve for Frequency
Rearrange the equation to solve for frequency (\(f\)):
\[ f = \frac{v}{\lambda} \]
Step 4: Substitute the Given Values into the Equation
Substitute \(v = 1540\) m/s and \(\lambda = 0.0005\) m into the equation:
\[ f = \frac{1540}{0.0005} \]
Step 5: Calculate the Frequency
Perform the division to find the frequency:
\[ f = 3080000 \, \text{Hz} = 3.08 \, \text{MHz} \]