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AP EAMCET202317 May 2023Morning ShiftPhysicsWaves and SoundActual

The ratio of radii of two wires is 1: 2 and the density of their materials are in the ratio 1: 4 . If same tension is applied to both the wires then the ratio of the speed of transverse waves produced in them is

Options

  1. A1: 16
  2. B16: 1
  3. C1: 4
  4. D4: 1

Correct answer

D. 4: 1

Step-by-step solution

aligned & R ₁ R ₂ = 1 2 ; ₁ ₂ = 1 4 v = & T ( where = mass Length = V L = A = R ^2 ) v & = T R ^2 & v ₁ v ₂ = T ₂ ₁ R ₁^2 ₂ R ₂^2 ~T = & ₂ ₁ R ₂^2 R ₁^2 = 4 (2)^2 = 4 1 aligned

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