CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    Transverse waves of same frequency are generated in two steel wires A and B. The diameter of A is twice of B and the tension in A is half that in B. The ratio of velocities of wave in A and B is:

    A) \[1:3\sqrt{2}\]                  

    B) \[1:2\sqrt{2}\]

    C)  \[1:2\]                                 

    D) \[\sqrt{2}:1\]

    Correct Answer: B

    Solution :

    From the formula \[\frac{\upsilon A}{\upsilon B}=\sqrt{\frac{{{T}_{A}}}{{{T}_{B}}}}\times \frac{rB}{rA}\] \[=\sqrt{\frac{T}{2T}}\times \frac{r}{2r}=\frac{1}{2\sqrt{2}}\]


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