If the tube becomes narrower, it would have an impact on the frequency of the sound produced. Specifically, the frequency would increase.
When a sound wave travels through a tube, such as in a musical instrument, the frequency of the sound is determined by the length and the speed of sound in the medium. In this case, the length of the tube remains constant, as it is not mentioned in the question. Therefore, the speed of sound is the key factor affected by the narrowing of the tube.
As the tube narrows, the effective cross-sectional area for the sound wave to travel through decreases. This leads to an increase in the speed of sound. The reason for this is that in a narrower tube, the air molecules have less space to move and collide with each other, resulting in an increased speed of sound propagation.
Since the frequency of a sound wave is directly proportional to the speed of sound, an increase in the speed of sound would result in an increase in frequency. This means that if the tube becomes narrower, the frequency of the sound produced would increase.
If the tube becomes narrower, it would cause the frequency of the sound produced to increase. This is due to the decrease in the cross-sectional area, which leads to an increase in the speed of sound and consequently, an increase in frequency.