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What is the pressure ratio for a sound that is 90 dB SPL?

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Solution:

To calculate the pressure ratio for a sound for measuring sound, we use the following logarithmic formula of Sound Pressure Level (SPL):

SPL =
20\log_(10)(p)/(p_(ref)) dB

where,

p = pressure to be measured


p_(ref) = reference pressure


(90)/(20) =
\log_(10)(p)/(p_(ref)) dB


10^(4.5) =
(p)/(p_(ref))

pressure ratio is :


(p)/(p_(ref)) =
3.16* 10^(5)

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