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:

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

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:

$\begin{gathered} \lambda=\frac{5160}{17\times10^3} \\ \\ \lambda=0.304\text{ m} \end{gathered}$

Therefore, the wavelength is 0.304 m.

ANSWER:

0.304 m