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In a pig caller can produce a sound intensity level of 107 dB. How many pig callers would be needed to generate an intensity level of 120 dB, assuming each caller can individually produce a sound intensity level of 107 dB

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ajeigbeibraheem

Answer:

20 pig callers

Explanation:

Given that:

A pig caller produced intensity level of  a sound = 107 dB

To find how many pig callers required to generate an intensity level of 120 dB;

we have:

120 dB - 107 dB = 13 dB

Taking the logarithm function;

[tex]10 \ log \bigg(\dfrac{I}{I_o} \bigg) = 13 \ dB[/tex]

where;

[tex]I_o[/tex] = initial intensity

[tex]log \bigg(\dfrac{I}{I_o} \bigg) = 1.3[/tex]

[tex]\dfrac{I}{I_o}= 10^{1.3 }[/tex]

I = 19.95[tex]I_o[/tex]

I ≅ 20 pig callers

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