JEE Main & Advanced Physics Wave Mechanics JEE PYQ-Wave Mechanics

  • question_answer
    5 beats/ second are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either \[0.95m\] or \[1m\]. The frequency of the fork will be:                      [JEE Online 15-04-2018 (II)]

    A)  \[195Hz\]                     

    B)  \[251Hz\]

    C)  \[150Hz\]                     

    D) \[300Hz\]

    Correct Answer: A

    Solution :

    [a] \[{{\text{L}}_{\text{1}}}\text{=0}\text{.95m,}\,\,{{\text{L}}_{\text{2}}}\text{=1m}\]
    \[{{\text{L}}_{2}}>{{L}_{1}},{{n}_{1}}>N>{{n}_{2}}\]
    \[{{n}_{1}}-N=5andN-{{n}_{2}}=5\]
    On solving \[{{n}_{1}}-{{n}_{2}}=10\]
    \[{{n}_{2}}={{n}_{1}}-10\]
    By law of length of vibrating string
    \[{{n}_{1}}{{L}_{1}}={{n}_{2}}{{L}_{2}}\]
    On solving we get\[{{n}_{1}}=200Hz\]
    \[{{n}_{1}}-N=5\]
    \[N=195Hz\]


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