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

  • question_answer
    A transverse wave travels on a taut steel wire with a velocity of v when tension in it is\[2.06\times \,\,{{10}^{4}}\text{ }N.\] When the tension is changed to T, the velocity changed to v/2. The value of T is close to            [JEE MAIN Held on 08-01-2020 Evening]

    A)  \[30.5\times {{10}^{4}}\text{ }N\]       

    B)  \[2.50\times {{10}^{4}}\text{ }N\]

    C)  \[5.15\times {{10}^{3}}\text{ }N\]                   

    D)  \[10.2\times {{10}^{2}}\text{ }N\]

    Correct Answer: C

    Solution :

    (c)
    \[v=\sqrt{\frac{T}{\mu }}\]
    \[\Rightarrow \frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\]         \[\Rightarrow \frac{v}{v}\times 2=\sqrt{\frac{2.06\times {{10}^{4}}}{{{T}_{2}}}}\]
    \[\Rightarrow {{T}_{2}}=\frac{2.06\times {{10}^{4}}}{4}=0.515\times {{10}^{4}}N\]
    \[\Rightarrow {{T}_{2}}=5.15\times {{10}^{3}}N\]


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