Given information
Given:
By adjusting the intensity of a sound, the volume may be doubled.
The intensity and loudness are the same, many incorrectly assume that doubling the intensity will double the loudness.
Step-by-step explanation
In terms of intensity , the level of sound is defined as:
Where is the intensity of the specified reference level and is in base- .
The square of the pressure exerted is exactly proportional to the intensity generated by a sound source.
The power created is exactly proportional to the intensity of the sound wave.
Assume that the loudness of a particular sound is to be doubled by modifying its intensity, and we know that doubling the loudness entails doubling the pressure near the listener's ear, i.e.,
As a result, if the starting and ultimate power generations are and , respectively,
Implies that,