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Q:- A string of length 'l' is fixed at both ends.It is vibrating in its 3 rd overtone with maximum amplitude 'a'.The amplitude at a distance l/3 from one end is:

 

Q:- A string of length 'l' is fixed at both ends.It is vibrating in its 3rd overtone with maximum amplitude 'a'.The amplitude at a distance l/3 from one end is:

 

Grade:12

1 Answers

Vignesh
27 Points
5 years ago
Consider some random standing wave equation.Say y=-Asinkxcoswt.Since it oscillates in 3rd overtone,L=4lamda.So at L/3,x=4lamda/3.Substituting this in the equation,y=-Asin(4π/3)coswt.So amplitude at distance a/3 is Asin(4π/3) which is a√3/2

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