Question

A sound wave has a wavelength of 0.450

Answer 1

Answer:

The wave's frequency is 733 hertz.

Explanation:

The wavelength (λ) is the minimum distance between two points of the wave that are in the same state of vibration.

Frequency (f) is the number of vibrations that occur in a unit of time.

The speed of propagation (v) is the speed with which the wave propagates in the middle. Relate wavelength (λ) and frequency (f) inversely proportionally using the following equation: v = f * λ.

In this case you know that:

• Wavelength of the sound wave (λ) = 0.450 meters
• Speed of the sound wave (v)= 330 meters per second= 330 $\frac{meters}{second}$

Replacing you get:

$330 \frac{meters}{second} = f* 0.450 meters$

Then:

$f=\frac{330 \frac{meters}{second} }{0.450 meters}$

f=733.33 hertz≅733 hertz

Finally,  the wave's frequency is 733 hertz.