/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q24E (a) If two sounds differ by 5.00... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q24E (page 539)

(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?

Short Answer

Expert verified

a) The ratio of the intensity is 3.16 b)螖尾=20db c)螖尾=3db

Step by step solution

01

STEP 1 The difference between the sound intensity levels for two different intensities

The formula is given by尾2-尾1=10log(I2I1)where,l2is the new intensity and l1is the previous intensity

02

STEP 2 Find the ratio of these two intensities

Substitute the values in the equation尾2-尾1=10log(I2I1)we get,

5db=10logl2l10.5=logl2l1100.5=l2l1l2l1=3.16

03

Step 3 Find the difference in sound intensity level between the two sounds

If the intensity of the first sound is l1, then the intensity of the second sound will be l2=100l1, to find the difference in sound intensity level between the two sounds 鈭�尾, we need to substitute into (l) forl1 andl2

鈭�尾=10log100l1l1=10log100=20db

Now the intensity of the second sound will be l2=2l1. Therefore, we get,

鈭�尾=10log2l1l1=10log2=3db

Thus, the difference in sound intensity level between the two sounds is 3db

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Two strings of different mass per unit length 渭1and 渭2are tied together and stretched with a tension F. A wave travels along the string and passes the discontinuity in 渭. Which of the following wave properties will be the same on both sides of the discontinuity, and which will change: speed of the wave; frequency; wavelength? Explain the physical reasoning behind each answer.

The intensity due to a number of independent sound sources is the sum of the individual intensities. (a) When four quadruplets cry simultaneously, how many decibels greater is the sound intensity level than when a single one cries? (b) To increase the sound intensity level again by the same number of decibels as in part (a), how many more crying babies are required?

Question: Energy Delivered to the Ear. Sound is detected when a sound wave causes the tympanic membrane (the eardrum) to vibrate. Typically, the diameter of this membrane is about 8.4 mm in humans. (a) How much energy is delivered to the eardrum each second when someone whispers (20 dB) a secret in your ear? (b) To comprehend how sensitive the ear is to very small amounts of energy, calculate how fast a typical 2.0-mg mosquito would have to fly (in mm/s) to have this amount of kinetic energy.

A piano wire with mass 3.00 g and length 80.0 cm is stretched with a tension of 25.0 N. A wave with frequency 120.0 Hz and amplitude 1.6 mm travels along the wire. (a) Calculate the average power carried by the wave. (b) What happens to the average power if the wave amplitude is halved?

Consider a sound wave in air that has displacement amplitude 0.0200 mm. Calculate the pressure amplitude for frequencies of (a) 150 Hz; (b) 1500 Hz; (c) 15,000 Hz. In each case compare the result to the pain threshold, which is 30 Pa.
See all solutions

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Read Explanation

Solid State Physics

Read Explanation

Fundamentals of Physics

Read Explanation

Fluids

Read Explanation

Atoms and Radioactivity

Read Explanation

Famous Physicists

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.