Question

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

Answer 1

20 pig callers

Step-by-step 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;

`10 \ log \bigg((I)/(I_o) \bigg) = 13 \ dB`

where;

`I_o` = initial intensity

`log \bigg((I)/(I_o) \bigg) = 1.3`

`(I)/(I_o)= 10^(1.3 )`

I = 19.95
`I_o`

I ≅ 20 pig callers