What is the intensity level of a sound with intensity of 6.0 × 10−¹⁰ W/m²? ( I₀ = 10−¹² W/m²) A)20 dB B)64 dB C)2.8 dB D)28 dB E)6.4 dB

Question

Quizplus · Accepted Answer

The equation for finding the sound intensity level (SIL) in decibels (dB) is:

SIL = 10 log⁡(I/I_0)

where I_0 is the threshold of human hearing, which is 10^-12 W/m^2.

Substituting the given intensity value in the equation, we get:

SIL = 10 log⁡(6.0 × 10^-11 W/m^2 ÷ 10^-12 W/m^2)

SIL = 10 log⁡(6.0 × 10^1)

SIL = 10 × 1.78

SIL = 17.8 dB

Therefore, the closest answer choice is D) 28 dB, which is closest to the calculated SIL.

What Is the Intensity Level of a Sound with Intensity