RAJASTHAN PMT Rajasthan - PMT Solved Paper-1996

  • question_answer
    The fundamental frequency of an open pipe is\[f.\] The pipe is now vertically dipped in water such that it is half immersed. The fundamental frequency of air column is now:

    A) \[\frac{f}{2}\]                                   

    B)        \[\frac{3f}{4}\]                                 

    C)        \[f\]                                      

    D)        \[2f\]

    Correct Answer: C

    Solution :

    Frequency of open organ pipe is double than that of closed pipe \[{{f}_{open}}=2{{f}_{close}}\] \[\Rightarrow \] \[{{f}_{close}}=\frac{1}{2}{{f}_{open}}\] when open pipe is immersed in water it will behave as a closed pipe of half length. Frequency of closed pipe is inversely proportional to its length. \[\therefore \]  its frequency will double \[=2\times \frac{f}{2}=f\]


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