What is the change in intensity level when the intensity of sound increases by 10⁷times the original intensity?

Solution

Increase in intensity level is given by,

space space space increment straight L space equals space 10 Log straight I subscript 2 over straight I subscript 1 db

where,
I₁ and I₂ are the original and final intensities.
We have,

straight I subscript 2 over straight I subscript 1 equals 10 to the power of 7

Therefore,

increment straight L space equals space 10 Log 10 to the power of 7 space equals space 70 db

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