The intensity level in decibels is related to the intensity in the following man

Question

The intensity level in decibels is related to the intensity in the following manner: Intensity Level (dB) = 10 log10(I/I0). I0 represents the ‘threshold of hearing’ and by convention has been chosen as 1.0x10-12 W/m2.

What is the intensity level for a sound which has an intensity of 1.00x10-8 W/m2? Incorrect. Tries 2/10 Previous Tries

What is the intensity level for a sound which has an intensity of 1.00x10-7 W/m2? Tries 0/10 What is the intensity level for a sound which has an intensity of 3.72×10-6 W/m2? Tries 0/10

Explanation / Answer

(A)

(I / Io) = 1.00 x 10-8/ 1.00 x 10-12

(I / Io) = 104

Sound intensity level LI = 10×log (I / Io) dB

LI = 10×log (10000) dB

LI = 40 dB

(B)

(I / Io) = 1.00 x 10-7/ 1.00 x 10-12

(I / Io) = 100000

Sound intensity level LI = 10×log (I / Io) dB

LI = 10×log (100000) dB

LI = 50 dB

(C)

(I / Io) = 3.72x10-6/ 1.00 x 10-12

(I / Io) = 3720000

Sound intensity level LI = 10×log (I / Io) dB

LI = 10×log (3720000) dB

LI = 65.70 dB

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