Two harmonic waves moving in the same direction superimpose to form a wave 
where t is in seconds. Find the period with which they beat. (close to nearest integer)
Text Solution
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The superposition of the two harmonic waves results in the wave equation:
This equation can be expanded using the trigonometric identity for the product of cosines:
Simplifying, we find:
This represents two waves with angular frequencies 52 and 49, respectively.
To find the beat frequency, we calculate the differences in frequencies:
The beat frequency is then:
The period of the beats, 
, is the reciprocal of the beat frequency:
Approximating this gives:
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