Question

A sound wave has a frequency of 1985 Hz. What is the distance between crests or compressions of the wave? (Take the speed of sound to be 344 m/s.) answer in:___m

Answer 1

Given:

• Frequency, f = 1985 Hz.

,

• Speed of sound, v = 344 m/s

Let's find the distance between crests or compressions of the wave.

The distance between the crests of a wave or the compression of a wave is called the wavelength.

To find the wavelength, apply the formula:

`\lambda=(v)/(f)`

Where:

• λ is the wavelength in meters (m).

,

• v is the speed in meters per second (m/s).

,

• f is the frequency in hertz (Hz.)

Thus, we have:

`\begin{gathered} \lambda=\frac{344\text{ m/s}}{1985\text{ Hz}} \\ \\ \lambda=0.173\text{ m} \end{gathered}`

Therefore, the distance between crests or compressions of the wave is 0.173 meters.

• ANSWER:

0.173 m