Question

audio system 1 produce an intensity level of B=90.0dB, and system 2 produces an intensity level of B=93.0 dB. the corresponding intensities (in W/m2) are I1 and I2. Determine the ratio I1/I2

PHY 206/206L Term: Spring 2020 Name: Due Date: 02/10/2020 HW10 (1401-3) Comparing Sound Intensities (10 pts) Audio system i produce an intensity level of B =90.0 dB, and system 2 produces an intensity level of 8 = 93.0 dB. The corresponding intensities (in W/m?)arel, and 12. Determine the ratio ,

Answer 1

The intensity in decibels is given by

(1) 0190101 = 0

where I_o is the intensity of standard threshold of hearing (I_o=10^-12W/m²). I is in W/m²

Solving for I,

P = 10510

Raising both sides to power of 10, and using 10^logx=x

10品

OLOT°1 = 1

The ratio of the two intensities is

11 1.103/10 I-1022 10 I

11 I 10 /10 1032/10

11 = 10(31–32)/10

1 - 10/90-93/10

1 = 10-3/10

$\boxed{\frac{I_1}{I_2}=0.5}$