We frecueng of the sound waves is 20 kHz . If the spoed of the sound in
s , calculate the wavelength of the sound waves in water.

Ask by Guzman Thornton. in South Africa

Jan 23,2025

Question

We frecueng of the sound waves is 20 kHz . If the spoed of the sound in s $$ 500 \mathrm{~m} \cdot \mathrm{~s}^{\prime \prime} $$, calculate the wavelength of the sound waves in water.

UpStudy AI · Accepted Answer

To calculate the wavelength of sound waves, we can use the formula:

$$
\lambda = \frac{v}{f}
$$

where:
- $$\lambda$$ is the wavelength,
- $$v$$ is the speed of sound,
- $$f$$ is the frequency.

### Given:
- Frequency $$f = 20 \, \text{kHz} = 20,000 \, \text{Hz}$$
- Speed of sound $$v = 500 \, \text{m/s}$$

### Step 1: Substitute the values into the formula

Now, we can substitute the known values into the formula to find the wavelength:

$$
\lambda = \frac{500 \, \text{m/s}}{20,000 \, \text{Hz}}
$$

### Step 2: Calculate the wavelength

Now, let's perform the calculation:

$$
\lambda = \frac{500}{20,000}
$$

Calculating this gives:

$$
\lambda = 0.025 \, \text{m}
$$

### Conclusion

The wavelength of the sound waves in water is $$0.025 \, \text{m}$$ or $$25 \, \text{mm}$$.
The wavelength of the sound waves in water is 0.025 meters or 25 millimeters.

We frecueng of the sound waves is 20 kHz . If the spoed of the sound in
s , calculate the wavelength of the sound waves in water.

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We frecueng of the sound waves is 20 kHz . If the spoed of the sound in s , calculate the wavelength of the sound waves in water.