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If the intensity of sound is doubled, by...

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

Text Solution

Verified by Experts

The correct Answer is:
3
We know that `beta=10log_(10)((I)/(I_(0)))`
According to the problem, `beta_(A)=10"log"_(10)(I)/(I_(0))`
`beta_(B)=10"log"_(10)((2I)/(I_(0)))`
`beta_(B)-beta_(A)=10log((2I)/(I))=10xx0.3010=3dB`
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