Solution Found!

Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 16 / Problem 24E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

Change Question

Unless indicated otherwise,

Chapter 16, Problem 24E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 24E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

(a) If two sounds differ by 5.00 dB, find the ratio of the intensity of the louder sound to that of the softer one. (b) If one sound is 100 times as intense as another, by how much do they differ in sound intensity level (in decibels)? (c) If you increase the volume of your stereo so that the intensity doubles, by how much does the sound intensity level increase?

Questions & Answers

QUESTION:

Problem 24E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

(a) If two sounds differ by 5.00 dB, find the ratio of the intensity of the louder sound to that of the softer one. (b) If one sound is 100 times as intense as another, by how much do they differ in sound intensity level (in decibels)? (c) If you increase the volume of your stereo so that the intensity doubles, by how much does the sound intensity level increase?

ANSWER:

Solution 24E

Step 1 :

Consider the data given

Difference in sound intensity ${\Delta{}L}_{\ }=\ 5.00\ dB$

To obtain the sound intensity level

We have difference as ${\Delta{}L}_{\ }={L}_{2}-{L}_{1}$

We have

$L=10\ log\ (\frac{I}{{I}_{0}})$

Here I- sound intensity

${I}_{0}-\ 1{0}^{-12\ }W/{m}^{2}$ ( minimum sound intensity )

From the sound intensity level as we get

$I={I}_{0}\times{}1{0}^{(L/10)}$

We get the ratio of sound intensity level as

${I}_{2}/{I}_{1}=\ \frac{{I}_{0}\times{}1{0}^{{L}_{2}/10}}{{I}_{0}\times{}1{0}^{{L}_{1}/10}}$

${I}_{2}/{I}_{1}=\ \frac{1{0}^{{L}_{2}/10}}{1{0}^{{L}_{1}/10}}$

${I}_{2}/{I}_{1}=1{0}^{({L}_{2}-{L}_{1})/10}$

${I}_{2}/{I}_{1}=1{0}^{5/10}$

${I}_{2}/{I}_{1}=3.16$

Hence we get ratio in intensity as 3.16

Study Tools You Might Need

Chapter: 5 Problem: 86P

Introductory Chemistry 5
Arrange the compounds in order of decreasing formula mass. \(\mathrm{WO}_{2}\), \(\mathrm{Rb}_{2} \mathrm{SO}_{4}\), \(\mathrm{~Pb}\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\right)_{2}\), RbI Equation Transcript

Chapter: 3 Problem: 3.48

Chemistry 11
Tin(II) fluoride (\(\mathrm{SnF}_{2}\)) is often added to toothpaste as an ingredient to prevent tooth decay. What is the mass of F in grams in 24.6 g of the compound?

Chapter: 0 Problem: 6.3

Biology 8
Describe the molecular composition of nucleoli and explain their function.

Chapter: 0 Problem: 9

Biology 8
Most CO2 from catabolism is released during a. glycolysis. b. the citric acid cycle. c. lactate fermentation. d. electron transport. e. oxidative phosphorylation.

Chapter: 19 Problem: 7

Human Biology 11
Which statement best fits the principle of segregation? a. Units of heredity are transmitted to offspring. b. Two genes of a pair separate from each other during meiosis. c. Members of a population become segregated. d. A segregating pair of genes is sorted out into gametes independently of how g

Chapter: 3 Problem: 1

Biology: The Dynamic Science 4
What is the monomer of a nucleic acid macromolecule?

Chapter: 2 Problem: 18

Psychology 1
The ________ is controlled by the experimenter, while the ________ represents the information collected and statistically analyzed by the experimenter. a. dependent variable; independent variable b. independent variable; dependent variable c. placebo effect; experimenter bias d. experiment bias; plac

Chapter: 11 Problem: 2

Advanced Engineering Mathematics 10
What are the Euler formulas? By what very important idea did we obtain them?

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account