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 crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. (See Figure17.30.) (a) What is the fundamental frequency if the tube is0.240 mlong, by taking air temperature to be37.0 C? (b) What would this frequency become if the person replaced the air with helium? Assume the same temperature dependence for helium as for air.

What length should an oboe have to produce a fundamental frequency of 110 Hz on a day when the speed of sound is 343 m/s? It is open at both ends.

If audible sound follows a rule of thumb similar to that for ultrasound, in terms of its absorption, would you expect the high or low frequencies from your neighbor’s stereo to penetrate into your house? How does this expectation compare with your experience?

Suppose a person has a \({\rm{50 - dB}}\)hearing loss at all frequencies. By how many factors of\({\rm{10}}\)will low-intensity sounds need to be amplified to seem normal to this person? Note that smaller amplification is appropriate for more intense sounds to avoid further hearing damage.

Is the Doppler shift real or just a sensory illusion?
See all solutions

Recommended explanations on Physics Textbooks

Electrostatics

Read Explanation

Astrophysics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Work Energy and Power

Read Explanation

Atoms and Radioactivity

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