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?

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7 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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Physics NCERT Exemplar Solutions Class 11th Chapter Fifteen 2025

Physics NCERT Exemplar Solutions Class 11th Chapter Fifteen 2025

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