Wave Motion 4 Question 25

2. The correct figure that shows schematically, the wave pattern produced by superposition of two waves of frequencies 9Hz and 11Hz, is

(2019 Main, 10 April II)

(a)

(b)

(c)

(d) 0

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Solution:

  1. When waves of nearby frequencies overlaps, beats are produced.

Beat frequency is given by, fbeat =f1f2

Here, f1=11Hz and f2=9Hz Beat frequency is, fbeat =119=2Hz

Hence, time period of beats or time interval between beats, T=1fbeat T=12=0.5s

So, resultant wave has a time period of 0.5s which is correctly depicted in option (a) only.



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