The intensity of a sound is given by I=I[0]10^(0.1L) where L is the loudness of the sound as measured in decibels and I[0] is the minimum intensity detectable by the human ear.
(a) Find I, in terms of I[0], for the loudness of a small engine which is 80 decibels.
(b) Find I in terms of I[0] for the loudness of a quiet sound, which is 10 decibels.
(c) Compare your answers to part (a) and (b)
(d) Find the rate of change of dI/dL
(e) Interpret the meaning of dI/dL

Question

The intensity of a sound is given by I=I[0]10^(0.1L) where L is the loudness of the sound as measured in decibels and I[0] is the minimum intensity detectable by the human ear.
(a) Find I, in terms of I[0], for the loudness of a small engine which is 80 decibels.
(b) Find I in terms of I[0] for the loudness of a quiet sound, which is 10 decibels.
(c) Compare your answers to part (a) and (b)
(d) Find the rate of change of dI/dL
(e) Interpret the meaning of dI/dL

lukecrayonz · Answer

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