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NEET2022PhysicsWaves and SoundActual

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:

Options

  1. A2 : 1
  2. B1 : 2
  3. C1 : 2
  4. D1 : 1

Correct answer

B. 1 : 2

Step-by-step solution

Case 1: T 1 = T Case 2: T 2 = 2 T We know, speed of transverse wave is related to tension by v = T μ , here, μ is mass per unit length of the string. ∴   v 1 v 2 = T 1 T 2 = T 2 T = 1 2 = 1 : 2

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