Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN: 9780078807213
Author: Paul W. Zitzewitz
Publisher: Glencoe/McGraw-Hill
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Chapter 15.2, Problem 13PP
To determine

To calculate:The velocity of sound in helium gas when a tuning fork is used with a resonating column.

Expert Solution & Answer
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Answer to Problem 13PP

Thevelocity of sound in helium gas is 968 m/s .

Explanation of Solution

Given info:

Frequency of the tuning fork = 440 Hz .

Resonance spacing = 110 cm

Formula used:

The resonance lengths in a closed pipe are found at half-wavelength intervals.

Hence, the length-wavelength relationship:

  λ2=L2L1

  λ represents the wavelength of the resonant sound, L2L1 represents the resonance spacing.

In addition, the frequency is given by

  f=vλ

  f represents the frequency of the tuning fork, v represents the speed of sound in air and λ represents the wavelength of the resonant sound.

Calculation:

As per problem,

Frequency of the tuning fork ( f ) = 440 Hz .

Resonance spacing ( L2L1 ) = 110 cm

To calculate wavelength use formula

  λ2=L2L1

Substitute the value L2L1=110 cm ,

  λ2=110 cmλ=2(110 cm)λ=220 cmλ= 2.20 m

To calculate velocity of sound in helium rearrange the formula

  f=vλ

  v=fλ

Substitute the values f=440 Hz and λ=2.20 m

  v=(440 Hz)(2.20 m)v=968 m/s

Conclusion:

Thus, thevelocity of sound in helium gas is 968 m/s .

Chapter 15 Solutions

Glencoe Physics: Principles and Problems, Student Edition

Ch. 15.1 - Prob. 11SSCCh. 15.1 - Prob. 12SSCCh. 15.2 - Prob. 13PPCh. 15.2 - Prob. 14PPCh. 15.2 - Prob. 15PPCh. 15.2 - Prob. 16PPCh. 15.2 - Prob. 17PPCh. 15.2 - Prob. 18PPCh. 15.2 - Prob. 19PPCh. 15.2 - Prob. 20PPCh. 15.2 - Prob. 21SSCCh. 15.2 - Prob. 22SSCCh. 15.2 - Prob. 23SSCCh. 15.2 - Prob. 24SSCCh. 15 - Prob. 25ACh. 15 - Prob. 26ACh. 15 - Prob. 27ACh. 15 - Prob. 28ACh. 15 - Prob. 29ACh. 15 - Prob. 30ACh. 15 - Prob. 31ACh. 15 - Prob. 32ACh. 15 - Prob. 33ACh. 15 - Prob. 34ACh. 15 - Prob. 35ACh. 15 - Prob. 36ACh. 15 - Prob. 37ACh. 15 - Prob. 38ACh. 15 - Prob. 39ACh. 15 - Prob. 40ACh. 15 - Prob. 41ACh. 15 - Prob. 42ACh. 15 - Prob. 43ACh. 15 - Prob. 44ACh. 15 - Prob. 45ACh. 15 - Prob. 46ACh. 15 - Prob. 47ACh. 15 - Prob. 48ACh. 15 - Prob. 49ACh. 15 - Prob. 50ACh. 15 - Prob. 51ACh. 15 - Prob. 52ACh. 15 - Prob. 53ACh. 15 - Prob. 54ACh. 15 - Prob. 55ACh. 15 - Prob. 56ACh. 15 - Prob. 57ACh. 15 - Prob. 58ACh. 15 - Prob. 59ACh. 15 - Prob. 60ACh. 15 - Prob. 61ACh. 15 - Prob. 62ACh. 15 - Prob. 63ACh. 15 - Prob. 64ACh. 15 - Prob. 65ACh. 15 - Prob. 66ACh. 15 - Prob. 67ACh. 15 - Prob. 68ACh. 15 - Prob. 69ACh. 15 - Prob. 70ACh. 15 - Prob. 71ACh. 15 - Prob. 72ACh. 15 - Prob. 73ACh. 15 - Prob. 74ACh. 15 - Prob. 75ACh. 15 - Prob. 76ACh. 15 - Prob. 77ACh. 15 - Prob. 78ACh. 15 - Prob. 79ACh. 15 - Prob. 80ACh. 15 - Prob. 81ACh. 15 - Prob. 82ACh. 15 - Prob. 83ACh. 15 - Prob. 84ACh. 15 - Prob. 85ACh. 15 - Prob. 86ACh. 15 - Prob. 87ACh. 15 - Prob. 88ACh. 15 - Prob. 89ACh. 15 - Prob. 90ACh. 15 - Prob. 91ACh. 15 - Prob. 92ACh. 15 - Prob. 93ACh. 15 - Prob. 94ACh. 15 - Prob. 95ACh. 15 - Prob. 96ACh. 15 - Prob. 1STPCh. 15 - Prob. 2STPCh. 15 - Prob. 3STPCh. 15 - Prob. 4STPCh. 15 - Prob. 5STPCh. 15 - Prob. 6STPCh. 15 - Prob. 7STPCh. 15 - Prob. 8STP

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