Sound WavesHard
Question
At a point, beat frequency of n Hz is observed. It means that :
Options
A.medium particles at that point are vibrating with a frequency of n Hz.
B.amplitude of vibrations changes simple harmonically with frequency n Hz at the point only
C.at that point, zero intensity is observed 2n times per second
D.amplitude of vibration changes simple harmonically with 
Hz at the point
Hz at the pointSolution
When two waves of different frequency superimposes beats is being formed.
Eq. of Two superimposed wave
Y = 2A cos(ω1 − ω2/2). Sin(ω1 + ω2/2)
2A cos(ω1 − ω2/2) is amplitude at that point. So frequency vibration is n/2
Eq. of Two superimposed wave
Y = 2A cos(ω1 − ω2/2). Sin(ω1 + ω2/2)
2A cos(ω1 − ω2/2) is amplitude at that point. So frequency vibration is n/2
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