sics Chapter 26 ttps://session masteringphysics.com next P2054 Fall 15 signed in

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sics Chapter 26 ttps://session masteringphysics.com next P2054 Fall 15 signed in as Kyara Esp hapter 26 Problem 26.5 previous l 13 of 13 l retum Problem 26.5 Part A Two speakers that are 20.0 m apart produce what does she hear, constructive or destructive interferenc sound waves of frequency 230 Hz in a room where the speed of sound is 340 m/s A woman starts Please Choose out at the midpoint between the two speakers. The room's walls and ceiling are covered with My Answers Give up Submit to eliminate reflections, and she listens with only one ear for best precision. The speakers are 180 out of phase. Part B Why? Essay answers are limited to about 500 words (3800 characters maximum, including spaces. Mr Answers Part C

Explanation / Answer

A and B. When she is at the midpoint between the two speakers the path difference r2 r1 is zero. When
she walks a distance d toward one speaker, r2 increases by d and r1 decreases by d, so the path difference
changes by 2d. Path difference = m*lambda (m = 0, +/-1, +/-2,…) gives constructive interference and path
difference  = (m + 1/2 )*lambda (m = 0, +/-1, +/- 2,…) gives destructive interference.

The path difference is zero, so the interference is constructive

C. lambda = v/f = 340/230 = 1.478 m

Destructive interference occurs, so the path difference equals lambda/2

2d = lambda/2

d = 1.478/4 = 0.3695 cm

D.

constructive interference occurs, so the path difference equals lambda/2

2d = lambda

d = 1.478/2 = 0.739 cm

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