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When two sound waves travel in the same direction in a medium, the displacements of a particle located at ' x ' at time ' t ' is given by : aligned & y₁=0.05 (0.50 x-100 t) & y₂=0.05 (0.46 x-92 t) aligned where y₁, y₂ and x are in meters and t in seconds. The speed of sound in the medium is :

Options

  1. A92 ~m / s
  2. B200 ~m / s
  3. C100 ~m / s
  4. D332 ~m / s

Correct answer

B. 200 ~m / s

Step-by-step solution

Standard equation y(x, t)=A ( V x- t ) From any of the displacement equation Say y ₁ V =0.50 and =100 100 V =0.5 V = 100 0.5 =200 ~m / s

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