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show that the ratio of the acoustic power of two sounds in decibels is equal to...

show that the ratio of the acoustic power of two sounds in decibels is equal to the difference of their sound power level

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Answer #2

Let and   be the accoustic power of the two sounds.

Let the sound power levels be and

we have,

where is the reference sound power

Required ratio is,

for in decibels, taking 10* log of this, we get

which is the difference of the sound power levels. Hence shown.

answered by: anonymous
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