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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Waves

  • question_answer
                String 1 is connected with string 2. The mass per unit length in string 1 is \[{{\mu }_{1}}\] and the mass per unit length in string 2 is 4\[{{\mu }_{1}}\]. The tension in the strings is T. A travelling wave is coming from the left. What fraction of the energy in the incident wave goes into string 2?

    A)  1/8  

    B)  4/9    

    C) 2/3

    D) 8/9

    Correct Answer: D

    Solution :

    [d] \[\frac{{{E}_{r}}}{{{E}_{i}}}={{\left( \frac{{{A}_{r}}}{{{A}_{i}}} \right)}^{2}}={{\left( \frac{{{V}_{2}}-{{V}_{1}}}{{{V}_{1}}+{{V}_{2}}} \right)}^{2}}=1/9\] Therefore, \[\frac{{{E}_{t}}}{{{E}_{i}}}=8/9\]


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