The sound level of a motorcycle if its intensity is 10⁹ times Io will be 90 decibles.
The sound level of a motorcycle will be calculated thus:
L = 10 log(10⁹Io/Io)
= 10 log(10⁹)
= 90 dB
The sound level of a vacuum cleaner if its intensity, is 10⁷ times I will be
L = 10log(10⁷Io/Io)
= 10log(10⁷)
= 70 dB
The number of times that the sound of motorcycle is more intense than vaccum cleaner will be:
= Intensity of sound of motorcycle ÷ Intensity of sound of vaccum cleaner = 10⁹/10⁷ = 10
= 100 times
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