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COMEDK · Physics · 16. Waves and Sound

A steel wire has a length of \(90 \mathrm{~cm}\) which is under a constant tension of \(100 \mathrm{~N}\). The speed of the transverse waves that can be produced in the wire will be (take, the mass of the steel wire to be \(6 \times 10^{-3} \mathrm{~kg}\) )

  1. A \(50 \mathrm{~m} / \mathrm{s}\)
  2. B \(50 \mathrm{~cm} / \mathrm{s}\)
  3. C \(1 / 3 \sqrt{6} \mathrm{~m} / \mathrm{s}\)
  4. D \(50 \sqrt{6} \mathrm{~m} / \mathrm{s}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(50 \sqrt{6} \mathrm{~m} / \mathrm{s}\)

Step-by-step Solution

Detailed explanation

Given, tension is the wire, \(T=100 \mathrm{~N}\) Mass of steel wire, \(m=6 \times 10^{-3} \mathrm{~kg}\) Iength, \(l=90 \mathrm{~cm}=0.9 \mathrm{~m}\) Mass per unit length of steel wire,…