Question

How is it possible to detect the filling of a bottle under a water tap by hearing the sound at a distance?

Answer 1

Hint: The above problem can be resolved by using the concept and fundamentals of sound. When there is some quantity of water filled inside the vessel, the air contained in the vessel is displaced by the quantity of water, this creates a shrilling sound from the starting, and as the process goes on, the intensity of the shrilling sound decreases.

Complete step by step answer:
The bottle consists of some air inside it when the bottle is filled up with the desired quantity of water. This causes a lower level of air inside the bottle. Moreover, this results in the pitch of the water filling the bottle to rise, and as the frequency of the sound varies inversely with the length of the vibrating air column. Along with this, the sound's amplitude will decrease as the vibration of the air columns reduces due to the decreased quantity of air. The more the sound's pitch, the more the bottle is observed to fill up. But when there is an overflow of water from the bottle, then the shrilling sound will stop propagating and cannot be heard. Therefore, with the rise in the sound's shrillness, one can easily determine the filling of the bottle.

Note: In order to resolve the given problem, one must try to understand the fundamentals of the sound waves along with the various terms related to sound waves like amplitude, pitch, Intensity of sound wave, loudness, and many more. Moreover, the factors affecting these variables are also needed to be taken into consideration.