Question

Two sounds have intensities 5 · 10-3 and 6.5· 10-7 W/m2 . What is the magnitude of the difference in intensity levels between the two sounds in dB? .

A 38.86
B 43.91
C 49.62
D 56.07
E 63.36
F 71.60
G 80.91
H 91.42

Answer 1

The magnitude of the difference in intensity levels between the two sounds is approximately 38.86 dB. Hence, option (A) is correct.

Step-by-step explanation:

The difference in intensity levels between the two sounds can be calculated using the formula:

ΔL = 10 log₁₀(I₂/I₁)

where ΔL is the difference in intensity levels, I₂ is the intensity of the second sound, and I₁ is the intensity of the first sound.

Plugging in the given values, we have:

ΔL = 10 log₁₀((6.5×10⁻⁷)/(5×10⁻³))

Calculating this expression gives a value of approximately 38.86 dB.

Therefore, the magnitude of the difference in intensity levels between the two sounds is approximately 38.86 dB.