JEE Main & Advanced Physics Wave Mechanics Question Bank Vibration of String

  • question_answer
    Two perfectly identical wires are in unison. When the tension in one wire is increased by 1%, then on sounding them together 3 beats are heard in 2 sec. The initial frequency of each wire is :                                              [Pb. PET 2002]

    A)            \[220{{s}^{-1}}\]                 

    B)            \[320{{s}^{-1}}\]

    C)            \[150{{s}^{-1}}\]                 

    D)            \[300{{s}^{-1}}\]

    Correct Answer: D

    Solution :

                         Similar to Q. 30 Initial frequency of each wire (n)    \[=\frac{\text{(Number}\ \text{of}\ \text{beats}\ \text{heared}\ \text{per}\ \text{sec)}\times \text{200}}{\text{(per}\ \text{centage}\ \text{change}\ \text{in}\ \text{tension}\ \text{of}\ \text{the}\ \text{wire)}}\]    \[=\frac{(3/2)\times 200}{1}=300{{\sec }^{-1}}\]


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