To find the wavelength of a wave given its frequency and speed, we use the formula:
[tex]\[ \text{wavelength} = \frac{\text{speed}}{\text{frequency}} \][/tex]
Here are the given values:
- Frequency ([tex]\( f \)[/tex]) = 330 Hz
- Speed ([tex]\( v \)[/tex]) = 343 m/s
Substitute the given values into the formula:
[tex]\[ \text{wavelength} = \frac{v}{f} = \frac{343 \, \text{m/s}}{330 \, \text{Hz}} \][/tex]
Upon performing the division, we obtain:
[tex]\[ \text{wavelength} = 1.0393939393939393 \, \text{m} \][/tex]
To match this computed wavelength to the provided answer choices, the closest option is:
[tex]\[ \text{Answer B: } 1.04 \, \text{m} \][/tex]
Thus, the wavelength of a wave with a frequency of 330 Hz and a speed of 343 m/s is approximately 1.04 meters.
