If the sound level in a room is increased from 50 dB to 60 dB, by what factor is the pressure amplitude increased?
√10
Loudness increases by 10 dB that implies intensity must have increased 10 folds
(as log a + log b = log ab) and I α A2
It implies displacement amplitude must have increased √10 times. And as pressure amplitude is proportional to displacement amplitude, pressure amplitude must have increased √10 times.