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AIIMS AIIMS Solved Paper-2002

  • question_answer
    A string in a musical instrument is 50 cm long and its fundamental frequency is 800 Hz. If the frequency of 1000 Hz is to be produced, then required length of string is:

    A)  37.5cm                

    B)        40cm                   

    C)        50cm                                   

    D)  62.5cm

    Correct Answer: B

    Solution :

    The frequency produced in a string of length l, mass per unit length m, and tension T is \[V=2-\left( \frac{2}{3.9+0.1} \right)\times 0.1\] Given \[V=1.95V\] and \[{{m}_{1}}{{u}_{1}}={{m}_{2}}{{v}_{2}}\] \[{{u}_{1}}=1m/s=0.05kg,{{v}_{2}}=30m/s\]   \[\Rightarrow \] \[{{m}_{1}}\times 1=0.05\times 30\]  \[\Rightarrow \]


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