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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2014

  • question_answer
    An organ pipe \[{{P}_{1}}\] closed at one end vibrating in its first overtone and other pipe \[{{P}_{2}}\] open at both ends, vibrating in its third overtone are in resonance with a given tuning forks, then ratio of length of \[\text{2}\times \text{1}{{0}^{\text{7}}}\text{m}/\text{s}\] and \[\text{2}\times \text{1}{{0}^{-2}}T\] will be

    A) 3: 8                                        

    B) 3:4

    C) 3:2                                         

    D) 3: 1

    Correct Answer: A

    Solution :

                    The length of pipe closed at one end for first overtone is given by \[{{T}_{1}}>{{T}_{2}}\] Length of the pipes open at both end for third overtone is given by \[\frac{pV}{nT}\]                          .... (ii) Dividing Eq. (i) by Eq. (ii), we get \[4\times {{10}^{3}}A{{m}^{-1}}\]


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