If the intensity of sound is doubled, by how many decibels does the sound level increase?

Question

Philoid · Accepted Answer

Let the intensity of the sound be and be the sound level. If the intensity of the sound is doubled, then its sound level becomes.

Sound level is given by:

Where, = the constant reference intensity

When the intensity doubles, the sound level is given by:

According to the question,

The sound level is increased by 3 dB.