Final answer:
The frequency of the sound with a wavelength of 0.10 m and a speed of sound of 340 m/s is 3400 Hz.
Step-by-step explanation:
To determine the frequency of a sound that has a wavelength of 0.10 m when the speed of sound is 340 m/s, we can use the formula for the speed of sound, which is given by v = f × λ, where v is the speed of sound, f is the frequency, and λ is the wavelength.
We can rearrange this formula to solve for frequency (f) as follows: f = v / λ
Plugging in the values gives us:
f = 340 m/s / 0.10 m
= 3400 Hz.
So the frequency of the sound is 3400 Hz, which corresponds to option a).