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MHT CET Medical202625 April 2026Morning ShiftPhysicsWaves and SoundActual

The speed of the transverse wave on the stretched string under tension T₁ is v₁ . If the tension in the string is increased by T₁ , the speed of the transverse wave is v₂ . If is the linear density of the string, then v₂ = xv₁ . The value of x is

Options

  1. A2
  2. B2
  3. C1 2
  4. D1 2

Correct answer

A. 2

Step-by-step solution

The speed of a transverse wave on a stretched string is given by v = T , where T is the tension and is the linear mass density. For the initial state, the tension is T₁ , so the speed is: v₁ = T₁ The tension is increased by T₁ , so the new tension is T₂ = T₁ + T₁ = 2T₁ . The new speed is: v₂ = 2T₁ = 2 T₁ = 2 v₁ Comparing this with v₂ = x v₁ , we get x = 2 . Answer: 2

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