What is the speed of sound of a voice that produces a sound with a frequency of 110 Hz and a wavelength of 3.14 m?

The speed of sound can be calculated using the formula that relates speed (v), frequency (f), and wavelength (λ):

[ v = f \times \lambda ]

In this case, the frequency of the sound is given as 110 Hz and the wavelength is 3.14 m. Plugging these values into the formula:

[ v = 110 , \text{Hz} \times 3.14 , \text{m} ]

Calculating this gives:

[ v = 345.4 , \text{m/sec} ]

This tells us that the correct speed of sound in this scenario is 345.4 m/sec. The results show that the speed of sound for a voice producing a frequency of 110 Hz with a wavelength of 3.14 m falls well within the range of typical sound speeds observed in air under normal conditions, which is generally around 343 m/sec at room temperature.

In contrast, other options present values that do not match the calculated result based on the frequency and wavelength provided. These different speeds could represent other conditions, mediums, or errors in calculation, but they do not accurately represent the speed derived from the relationships of frequency and wavelength specified in the problem.