Two identical rifles are shot at the same time, and the sound intensity level is 64.7 dB. What would be the sound intensity level if only one rifle were shot

61.7 dB

Explanation:

The sound intensity of Rifle can be calculated using this formula

I ( sound intensity ) = 10 * log ( I / IO) equation 1

where I = power/area

I = 64.7 dB

hence equation 1 becomes

64.7 = 10* log ( I / IO ) equation 2

note the sound intensity was produced by 2 identical rifle hence equation 2 will become

64.7 = 10 * log ( 2P / PO ) equation 3

for a single rifle (X) equation 3 becomes

= 64.7 - 10* log (2) = 64.7 - 10*0.30 = 64.7 - 3

= 61.7 dB

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