A wave of amplitude 0.30 m interferes with the second wave of amplitude 0.20 m. What is the...

Question:

A wave of amplitude 0.30 m interferes with the second wave of amplitude 0.20 m. What is the largest resultant displacement that may occur?

Wave Interference:

Wave interference takes place when two waves propagating along the same medium meet to produce another wave of smaller, same, or larger amplitude. A smaller amplitude is produced when the two waves are out-of-phase, and this is called destructive interference. Constructive interference on the other hand takes place when the two waves are in-phase, thus producing a wave of larger amplitude.

Answer and Explanation:

The largest resultant displacement will occur if there is constructive interference which means that the two waves that meet are in-phase. The largest amplitude that may occur is given by,

{eq}A_{max} = 0.30 \ m + 0.20 \ m = \boxed {0.50 \ m} {/eq}


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Practice Applying Wave Interference Formulas

from Physics 101: Help and Review

Chapter 17 / Lesson 13
356

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