If the intensity of sound is doubled, the sound level will increase by nearly _____ .

Options

A. A factor of 2
B. 2 db
C. 3 db
D. 4 db

Answer

B

Explanation

If is the initial intensity the sound level in decibels,
`db_(1)= 10 "log" (I)/(I_(0))`
Also `db_(2) = 10 "log"(I)/(I_(0))`
`= 10 "log" 2 + 10 "log" (I)/(I_(0))= 3 +db_(1)`