A 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?
It would be lamda = speed / frequency
= 1.45 *103/230 = 149.35/230 = 0.64m
Answer : The wavelength of the sound signal is 6.30 m.
Explanation :
Formula used :
\(\lambda=\frac{c}{ u}\)
where,
\(\lambda\) = wavelength of sound signal = ?
\(u\) = frequency = \(230Hz=230s^{-1}\)
c = speed of sound under water = \(1.45\times 10^3m/s\)
Now put all the given values in the above formula, we get:
\(\lambda=\frac{1.45\times 10^3m/s}{230s^{-1}}\)
\(\lambda=6.30m\)
Therefore, the wavelength of the sound signal is 6.30 m.