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KVPY Sample Paper KVPY Stream-SX Model Paper-12

  • question_answer
    A wire of length 2L, is made by joining two wires A and B of same length but different radii r and 2r and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. the number of antinodes in wire A is p and that in  is q then the ratio p : q is:

    A) \[3:5\]

    B) \[4:9\]

    C) \[1:2\]

    D) \[1:4\]

    Correct Answer: C

    Solution :

    \[f=\frac{N}{2\ell }\sqrt{\frac{T}{\rho \pi {{r}^{2}}}}\] \[\Rightarrow \]\[N\propto \,r\] \[{{N}_{1}}:\,{{N}_{2}}=r:2r=1:2.\]


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