If intensity is increased by factors of 20 .Then by how many decibels the sound level will increase ?

Let I and I' be the old and new intensity of sound. Then, according to question

We know that
β=10loge(II0)     (in dB)
Then change in sound level can be given as
Δβ=β2-β1=10loge(I'I0)-10loge(II0)=10loge(I'I)Δβ=10loge(20)10×3=30 dB

  • 20
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