Question

When a tuba is played, the player makes a buzzing sound and blows into one end of a tube that has an effective length of 3.50 m. the other end of the tube is open. if the speed of sound in air is 343 m/s, what is the lowest frequency the tuba can produce?

a) 8.00 hz
b) 12.0 hz
c) 16.0 hz
d) 24.0 hz
e) 49.0 hz

Answer 1

The lowest frequency the tuba can produce is Option e) 49.0 Hz.

To find the lowest frequency the tuba can produce, we need to determine the fundamental frequency of the tube. The fundamental frequency is the frequency at which the tube resonates with the longest wavelength.

1. Calculate the wavelength of the fundamental frequency:

wavelength = 2 * effective length of the tube

wavelength = 2 * 3.50 m = 7.00 m

2. Use the formula for the speed of sound to calculate the frequency:

speed of sound = frequency * wavelength

frequency = speed of sound / wavelength

frequency = 343 m/s / 7.00 m = 49.0 Hz

Therefore, the lowest frequency the tuba can produce is 49.0 Hz.