select the correct answer.\na sound signal traveling underwater has a frequency of 230 hertz. the speed of…

select the correct answer.\na sound signal traveling underwater has a frequency of 230 hertz. the speed of sound under water is 1.45×10³ meters/second. what is the wavelength of the sound signal?\na. 6.3 meters\nb. 2.3 meters\nc. 3.0 meters\nd. 1.2 meters\ne. 9.3 meters

select the correct answer.\na sound signal traveling underwater has a frequency of 230 hertz. the speed of sound under water is 1.45×10³ meters/second. what is the wavelength of the sound signal?\na. 6.3 meters\nb. 2.3 meters\nc. 3.0 meters\nd. 1.2 meters\ne. 9.3 meters

Answer

Explanation:

Step1: Recall the wave - speed formula

The formula for the speed of a wave is $v = f\lambda$, where $v$ is the speed of the wave, $f$ is the frequency, and $\lambda$ is the wavelength. We need to solve for $\lambda$, so we can rewrite the formula as $\lambda=\frac{v}{f}$.

Step2: Substitute the given values

We are given that $v = 1.45\times10^{3}$ m/s and $f = 230$ Hz. Substituting these values into the formula $\lambda=\frac{v}{f}$, we get $\lambda=\frac{1.45\times 10^{3}}{230}$.

Step3: Calculate the wavelength

$\frac{1.45\times 10^{3}}{230}=\frac{1450}{230}\approx6.3$ m.

Answer:

A. 6.3 meters