Question

if the intensity of sound is doubled by how many decibels does the sound level increase? (in db) (approx)

Answer 1

the sound level increases by 3.01dB

Hope that helps.

Answer 2

Answer : If the intensity of sound is doubled, 3.010 dB sound level will increase.

Explanation :

The intensity level is given by :

$dB=10log(\dfrac{I}{I_o})$

It is given that the intensity of sound is doubled i.e. $I=2I_o$

So,

$dB=10log(\dfrac{2I}{I_o})$

$dB=10\times 0.3010\ dB$

or

$dB=3.010\ dB$

So, 3.010 dB the intensity of sound level increase.

Hence, this is the required solution.