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

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
Transcript text: n/courses/82040/quizzes/964116/take/questions/19688914 Assignment Submission: - Once you have completed the assignment, click the Submit Quiz button. 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 Previous Next
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Solution

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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: \[ f = 3080000 \, \text{Hz} = 3.08 \, \text{MHz} \]

Final Answer

\(\boxed{3.08 \, \text{MHz}}\)

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