CET Karnataka Medical CET - Karnataka Medical Solved Paper-2014

  • question_answer
    A metallic wire of 1 m length has a mass of \[10\times {{10}^{-3}}kg\]. If a tension of 100 N is applied to a wire, what is the speed of transverse wave.

    A)  \[200m{{s}^{-1}}\]      

    B)  \[100m{{s}^{-1}}\]

    C)  \[0.1m\text{ }{{s}^{-1}}\]

    D)  \[10m\text{ }{{s}^{-1}}\]

    Correct Answer: B

    Solution :

    : Here, Mass per unit length of the wire, \[\mu =\frac{10\times {{10}^{-3}}kg}{1m}=10\times {{10}^{-3}}kg\,\,{{m}^{-1}}\] Tension, \[T=100\text{ }N\] The speed of transverse wave on the wire is \[v=\sqrt{\frac{T}{\mu }}=\sqrt{\frac{100N}{10\times {{10}^{-3}}kg\,{{m}^{-1}}}}=100m\,{{s}^{-1}}\]


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