To determine the wavelength of a wave, we use the fundamental relationship between wave speed, frequency, and wavelength, given by the formula:
[tex]\[ \lambda = \frac{v}{f} \][/tex]
where:
- [tex]\(\lambda\)[/tex] is the wavelength,
- [tex]\(v\)[/tex] is the wave speed in the medium,
- [tex]\(f\)[/tex] is the frequency of the wave.
Given the following values:
- Frequency, [tex]\(f = 100\)[/tex] Hz,
- Wave speed in brass, [tex]\(v = 4700\)[/tex] m/s,
we can substitute these values into the formula:
[tex]\[ \lambda = \frac{4700}{100} \][/tex]
By performing the division, we get:
[tex]\[ \lambda = 47 \, \text{m} \][/tex]
Thus, the wavelength of the wave in brass is [tex]\(47\)[/tex] meters. Therefore, the correct answer is:
B. 47 m
