NEET Sample Paper NEET Sample Test Paper-26

  • question_answer
    Transverse waves are generated in two uniform wire A and B of the same material by attaching their free ends to a vibrating source of frequency 200Hz. the cross section of A is half that of B while the tension on A is twice that on B. The ratio of wavelengths of the transverse waves in A and B is:

    A)  \[1:\sqrt{2}\]             

    B)  \[\sqrt{2}:1\]

    C)  \[1:2\]                         

    D)  \[2:1\]

    Correct Answer: D

    Solution :

    As we know that, \[\frac{{{\lambda }_{A}}}{{{\lambda }_{B}}}=\frac{{{V}_{A}}}{{{V}_{B}}}=\sqrt{\frac{{{T}_{A}}\times {{A}_{B}}}{{{T}_{B}}\times {{A}_{A}}}}\]                 [\[\therefore \] f and p are constants] \[\Rightarrow \]               \[\frac{{{\lambda }_{A}}}{{{\lambda }_{B}}}=\sqrt{2\times 2}=2\]


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