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A sitar wire is replaced by another wire of same length and material but of three times the earlier radius. If the tension in the wire remains the same, by what factor will the frequency change?

0 2 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

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    Answered by

    Payal Gupta | Contributor-Level 10

    3 months ago

    This is a short answer type question as classified in NCERT Exemplar

    Frequency of vibrations produced by a stretched wire

    v = n 2 L T μ

    Mass per unit length = mass/length = π r 2 l ρ l = π r 2 ρ

    v = n 2 L T π r 2 ρ = v = 1 r 2

    v ∝ 1 r so when radius is tripled v will be 1/3 rd of previous value.

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