VMMC VMMC Medical Solved Paper-2015

  • question_answer
    The speed of a transverse wave going on a wire having length 50 cm and mass 5.0 g is 80 \[m{{s}^{-1}}\]The tension developed in the wire will be (approx)

    A) 60 N                      

    B) 40 N

    C) 50 N                                      

    D) 30 N

    Correct Answer: A

    Solution :

    The linear mass density is \[\mu =\frac{5\times {{10}^{-3}}kg}{5\sigma \times {{10}^{-2}}m}=10\times {{10}^{-2}}\text{kg}\,{{\text{m}}^{-1}}\] The wave speed is\[v=\sqrt{\frac{F}{\mu }}\] \[\Rightarrow \]Tension, \[T=\mu \,{{v}^{2}}\] \[={{(1.0\times {{10}^{-2}}kg\,{{m}^{-1}})}^{2}}\times 6400{{m}^{2}}{{s}^{-2}}\] Which is closer to 60 N.


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