Question

If the sound level in a room is increased from 50 dB to 60 dB, by what factor is the pressure amplitude increased?

• A. $\sqrt{10}$
• B. 10
• C. 2
• D. None of these

Answer 1

The correct option is A

$\sqrt{10}$

Loudness increases by 10 dB that implies intensity must have increased 10 folds
(as $loga+logb=logab)andI\alpha A^2$

It implies displacement amplitude must have increased $\sqrt{10}$ times. And as pressure amplitude is proportional to displacement amplitude, pressure amplitude must have increased $\sqrt{10}$ times.