The sound wave produced by a trumpet has a frequency of 440 hertz. what is the distance between successive compressions in this sound wave as it travels through air at STP?
1. 1.5*10^-6m
2. 0.78m
3. 1.3m
4. 6.8*10^5m
if the speed of sound in air is v, then recall that
v = fλ
so plug in your frequency and v, then you can calculate λ
thank you oobleck
T = period of wave = 1/f = 1/440 = 0.00227 seconds
wavelength = speed * period = about 350 m/s * .00227 s = 0.79 meter
To find the distance between successive compressions in the sound wave produced by a trumpet with a frequency of 440 hertz, we can use the formula:
Wavelength = Speed of Sound / Frequency
The speed of sound in air at Standard Temperature and Pressure (STP) is approximately 343 meters per second. Plugging in the given frequency of 440 hertz into the formula, we get:
Wavelength = 343 m/s / 440 Hz
Calculating this, we find:
Wavelength ≈ 0.7795 meters
Therefore, the correct option is 2. 0.78m, as it is the closest approximation to the calculated wavelength.