To determine the wavelength of the sound wave traveling through brass, we need to use the formula that relates wave speed, frequency, and wavelength:
[tex]\[ \text{Wavelength} (\lambda) = \frac{\text{Speed of the wave} (v)}{\text{Frequency} (f)} \][/tex]
Given:
- Frequency of the wave, [tex]\( f = 100 \text{ Hz} \)[/tex]
- Speed of the wave in brass, [tex]\( v = 4700 \text{ m/s} \)[/tex]
Substituting the given values into the formula:
[tex]\[ \lambda = \frac{4700 \text{ m/s}}{100 \text{ Hz}} \][/tex]
Calculating the wavelength:
[tex]\[ \lambda = \frac{4700}{100} = 47 \text{ m} \][/tex]
Therefore, the wavelength of the wave in brass is:
[tex]\[ \boxed{47 \text{ m}} \][/tex]
The correct answer is:
C. 47 m
