Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 17: Q17PE (page 629)

Show that an intensity of \({10^{ - 12}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\) is the same as \({10^{ - 16}}\;{\rm{W/c}}{{\rm{m}}^{\rm{2}}}\) ?

Short Answer

Expert verified

The intensities are equal.

Step by step solution

01

Given Data

The intensity of the first sound is \({10^{ - 12}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\)

The another intensity is \({10^{ - 16}}\;{\rm{W/c}}{{\rm{m}}^{\rm{2}}}\).

02

 Concept of sound intensity

The sound intensity is the power passing perpendicular to the given per second. The intensity has the unit Watt per meter square.

03

Calculation of the intensities

The intensity of the first sound is,

\(\begin{align}{10^{ - 12}}\;W/{m^2}\\ &= \frac{{{{10}^{ - 12}}\;{\rm{W}}}}{{100 \times 100\;{\rm{c}}{{\rm{m}}^{\rm{2}}}}}\\ &= {10^{ - 12}} \times {10^{ - 4}}\;{\rm{W/c}}{{\rm{m}}^{\rm{2}}}\\ &= {10^{ - 16}}\;{\rm{W/c}}{{\rm{m}}^{\rm{2}}}\end{align}\)

Hence, both the sounds have the same intensity.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

(a) What frequency is received by a person watching an oncoming ambulance moving at\(110\;{\rm{km/h}}\)and emitting a steady\(800\;{\rm{Hz}}\)sound from its siren? The speed of sound on this day is\(345\;{\rm{m/s}}\). (b) What frequency does she receive after the ambulance has passed?

Question: (a) What is the intensity of a sound that has a level \(7.00\;{\rm{dB}}\) lower than a\(4.00 \times {10^{ - 9}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\)sound? (b) What is the intensity of a sound that is \(3.00\;{\rm{dB}}\)higher than a \(4.00 \times {10^{ - 9}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\)sound?

What frequency sound has a 0.10 m wavelength when the speed of sound is 340 m/s?

Ultrasound reflected from an oncoming bloodstream that is moving at30.0 cm/sis mixed with the original frequency of\({\bf{2}}.{\bf{50}}{\rm{ }}{\bf{MHz}}\)to produce beats. What is the beat frequency? (Assume that the frequency of\({\bf{2}}.{\bf{50}}{\rm{ }}{\bf{MHz}}\)is accurate to seven significant figures.)

How does an unamplified guitar produce sounds so much more intense than those of a plucked string held taut by a simple stick?
See all solutions

Recommended explanations on Physics Textbooks

Fields in Physics

Read Explanation

Force

Read Explanation

Physical Quantities And Units

Read Explanation

Particle Model of Matter

Read Explanation

Medical Physics

Read Explanation

Radiation

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.

Sign-up for free