Compute the wavelength in air of ultrasound with a frequency of 54 kHz if the speed of sound is 344 m/s. m

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:**

Compute the wavelength in air of ultrasound with a frequency of 54 kHz if the speed of sound is 344 m/s.

**Solution:**

To find the wavelength (\(\lambda\)) of the ultrasound, use the formula:

\[
\lambda = \frac{v}{f}
\]

Where:
- \(v\) is the speed of sound in air (344 m/s).
- \(f\) is the frequency of the ultrasound (54,000 Hz).

**Calculation:**

\[
\lambda = \frac{344 \, \text{m/s}}{54,000 \, \text{Hz}}
\]

Calculate the value and enter it in the box provided above.

**Answer:**

\[ \lambda = 0.00637 \, \text{m} \]

The wavelength of the ultrasound in air is approximately 0.00637 meters.
Transcribed Image Text:**Problem Statement:** Compute the wavelength in air of ultrasound with a frequency of 54 kHz if the speed of sound is 344 m/s. **Solution:** To find the wavelength (\(\lambda\)) of the ultrasound, use the formula: \[ \lambda = \frac{v}{f} \] Where: - \(v\) is the speed of sound in air (344 m/s). - \(f\) is the frequency of the ultrasound (54,000 Hz). **Calculation:** \[ \lambda = \frac{344 \, \text{m/s}}{54,000 \, \text{Hz}} \] Calculate the value and enter it in the box provided above. **Answer:** \[ \lambda = 0.00637 \, \text{m} \] The wavelength of the ultrasound in air is approximately 0.00637 meters.
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