Question

Select the correct answer from each drop-down menu.

The decibel level of a normal conversation, which has an intensity of 3.2x10-6 watts/m2, is (ANSWER1) dB. If the decibel level goes up to

80, the intensity of the sound will be

(ANSWER2) watts/m2

B = 10103(t.), where is the sound level in decibels, is the intensity of sound you are measuring, and I is the

Use the formula

smallest sound intensity that can be heard by the human ear (roughly equal to 1x10-12 watts/m2).

Answer 1

The intensity of sound in decibel is 65 dB

The intensity of sound in Watts/m² is 1 x 10⁻⁴ W/m²

Explanation:

The intensity of sound in decibel is given by;

`\beta (dB) = 10Log((I)/(I_o))\\\\`

where;

I₀ is the smallest sound intensity that can be heard by the human ear = 1 x 10⁻¹² watts/m²

`\beta (dB) = 10Log((I)/(I_o))\\\\\beta (dB) = 10Log((3.2*10^(-6))/(1*10^(-12)))\\\\\beta (dB) = 65.05 \ dB`

= 65 dB

If the decibel level goes up to 80 dB, the intensity in W/m² is given by;

`\beta (dB) = 10Log((I)/(I_o) )\\\\80 = 10Log((I)/(I_o) )\\\\8 =Log ((I)/(I_o) )\\\\10^8 = (I)/(I_o) \\\\I = I_o *10^8\\\\I = 1*10^(-12)*10^8\\\\I = 1*10^(-4) \ W/m^2`