Question #02d1f

1 Answer
A08
Apr 20, 2017

4.948×10−4J

Explanation:

As answered for your other question
A sound level of 90.0dB converted in units Wm−2 is

Let 90.0dB=xWm−2

Implies that
10log(x1×10−12)=90
⇒log(x1×10−12)=9.0
Taking anti log
⇒x1×10−12=109
⇒x=109×1×10−12
⇒x=10−3Wm−2

Energy falling on eardrum =Intensity×Area
=10−3×π(0.5002×1100)2
=1.9634×10−8W

Total energy falling on the ear drum in 7hours
=1.9634×10−8×7×3600
=4.948×10−4W⋅s

Since joule is also watt-second, therefore
Total energy falling on the ear drum in 7hours=4.948×10−4J

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