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NTA Abhyas JEE Main2020PhysicsWaves and SoundPractice

At t = 0 , a transverse wave pulse in a wire is described by the function where x and y are in metre. The function y ( x , t ) that describes this wave equation, if it is travelling in the positive x -direction with a speed of 4 . 5 m s - 1 is

Options

  1. Ay = 6 x + 4 . 5 t 3 - 3
  2. By = 6 x - 4 . 5 t 2 + 3
  3. Cy = 6 x + 4 . 5 t 2 - 3
  4. Dy = 6 x - 4 . 5 t 2 + 3

Correct answer

D. y = 6 x - 4 . 5 t 2 + 3

Step-by-step solution

y x , t = a x ± v ⁡ t 2 + b is another form of progressive wave equation propagating with a speed v. Negative sign to be taken for propagation along + x-axis and positive sign to be taken for propagation along - x-axis.

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