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    Is the frequency of vibration of string same for different modes of vibrations?
    No, for different modes of vibrations, the frequency of vibration of string is different. 
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    What is the distance between two consecutive nodes?
    The distance between two consecutive nodes is given by, 

    straight L over straight n equals straight lambda over 2 
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    What is organ pipe?

    Organ pipe is a hollow pipe in which sound is produced by setting up stationary waves in its air column.
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    What is the fundamental frequency of stationary waves produced in both end open organ pipe?

    The fundamental frequency of stationary waves produced in both end open organic pi[e is given by, 

    space space space space space space space space space space straight v subscript straight o equals straight n fraction numerator straight v over denominator 2 straight L end fraction where comma space straight L space is space the space length space of space the space organ space pipe comma space straight nu subscript straight o space end subscript is space the space fundamental space frequency.

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    What is the fundamental frequency of stationary waves produced in one end closed organ pipe?

    The fundamental frequency of stationary waves produced in one end closed organ pipe is given by, 

                    space space space straight v subscript straight o equals left parenthesis 2 straight n minus 1 right parenthesis fraction numerator straight v over denominator 4 straight L end fraction space space space space space space equals left parenthesis 2 straight n minus 1 right parenthesis fraction numerator 1 over denominator 4 straight L end fraction square root of γP over straight rho end root

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