   Chapter 14, Problem 24P

Chapter
Section
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? 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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