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College Physics

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

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A skyrocket explodes 100 m above the ground (Fig. P14.24). Three observers are spaced 100 m apart, with the first (A) directly under the explosion. (a) What is the ratio of the sound intensity heard by observer A to that heard by observer B? (b) What is the ratio of the intensity heard by observer A to that heard by observer C?

images

Figure P14.24

(a)

To determine
The ratio of the sound intensity heard by observer A to that heard by observer B

Explanation

Given Info: distance of the observer A is 100m and distance of the observer B is 100m+100m

Formula to calculate the distance of explosion between P and B is,

rB2=rA2+rAB2

  • rB is the distance of the point B from explosion.
  • rA is the distance of the point A from explosion.
  • rAB is the distance between point A and B.

Formula for ratio of sound intensity of observers

IAIB=rB2rA2

  • IA is the sound intensity at observer A.
  • IB is the sound intensity at observer B.
  • rA is the distance of observer A  from explosion.
  • rB is the distance of observer B from explosion.

Use rA2+rAB2 for rB2 to rewrite the above expression

(b)

To determine
The ratio of the sound intensity heard by observer A to that heard by observer C

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