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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 wave of amplitude 0.30 m interferes with a second wave of amplitude 0.20 m traveling in the same direction. What are (a) the largest and (b) the smallest resultant amplitudes that can occur, and under what conditions will these maxima and minima arise?

(a)

To determine
The largest amplitude of the resultant wave.

Explanation

Given info: The amplitude of the first wave is 0.30m . The amplitude of the second wave is 0.20m .

Constructive interference occurs when the interfering waves superimpose such that the trough falls on trough and the crest falls on crest. The amplitude in this condition is the sum of amplitudes of the interfering waves.

The largest resulting amplitude will occur when the waves undergo constructive interference.

The largest amplitude will be,

Amax=A1+A2

  • A1 is the amplitude of the first wave
  • A2 is the amplitude of the second wave

Substitute A1=0

(b)

To determine
The smallest amplitude of the resultant wave.

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