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An important news announcement is transmitted by radio waves to people who are 100. km away, sitting next to their radios, and by sound waves to people sitting across the news room, 3.0 m from the newscaster. Who receives the news first? Explain. Take the speed of sound in air to be 343 m/ s.

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College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300

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Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300
Chapter 21, Problem 62P
Textbook Problem
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An important news announcement is transmitted by radio waves to people who are 100. km away, sitting next to their radios, and by sound waves to people sitting across the news room, 3.0 m from the newscaster. Who receives the news first? Explain. Take the speed of sound in air to be 343 m/ s.

To determine
The news received to the people quickly by radio waves or by sound waves.

Explanation of Solution

Given Info: Distance covered by radio waves dR is 100km , velocity of light  c is 3×108m/s , Distance covered by sound waves dS is 3.0m and the velocity of sound waves vsound is 343m/s .

Formula to calculate the transit time tR for the radio waves is,

tR=dRc

  • tR is the transit time by radio waves
  • dR is the distance covered by radio waves
  • c is the velocity of light

Substitute 100km for dR and 3×108m/s for   to find tR

tR=(100km)(1m103km)3×108m/s=100×103m3×108m/s=3

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Chapter 21 Solutions

College Physics
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