Final answer:
A doubling of sound intensity results in a 3 dB increase, while a 10 dB increase is typically perceived as a doubling of volume. However, these are different concepts: one is a measurable increase in intensity, and the other is a subjective perception of loudness.
Step-by-step explanation:
The question pertains to the change in sound volume measured in decibels (dB) required to perceive a doubling of the volume. When one sound is twice as intense as another, it does not necessarily mean that the sound is perceived as twice as loud, but there is a distinct increase in volume. It has been shown through various examples that an increase in 10 dB is typically perceived as a sound being twice as loud, though an exact figure can be subjective and vary among individuals. However, when referring to intensity level, which is a measurable quantity, if one sound is twice as intense as another, it has a sound level about 3 dB higher. This is based on the logarithmic scale used to measure sound intensity levels, and can be calculated using the formula for decibel levels dB = 10 log(I1/I0), where I1 is the intensity of one sound and I0 is the reference intensity.