Question

The speed of sound in a solid medium is 15 times greater than that in air. If the frequency of a wave in the solid is 17 kHz, then what is the wavelength? (The speed of sound in air is 344 m/s.) answer:_____m

Answer 1

Given:

• Speed of sound in air, v = 344 m/s

,

• Frequency of wave in solid = 17 kHz.

Let's find the wavelength if the speed of sound in a solid medium is 15 times greater than that in air.

Apply the formula:

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

Where:

• λ is the wavelength in m/s

,

• v is the speed of sound in a solid medium in meters (m).

,

• f is the frequency in Hz.

Since the speed of sound in a solid medium is 15 times greater than the speed of sound in air, the speed of sound in a solid medium will be:

`v=v_(air)*15=344*15=5160\text{ m/s}`

Now, the wavelength will be:

`\begin{gathered} \lambda=(5160)/(17*10^3) \\ \\ \lambda=0.304\text{ m} \end{gathered}`

Therefore, the wavelength is 0.304 m.

ANSWER:

0.304 m