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Concepts Of Physics MCQ Edition [Volume 1]PhysicsWave Motion and Waves on a String

Among the following equations, which one describes a wave propagating along the Y -axis?

Options

  1. Ay = A ky t
  2. By = A ky t
  3. Cy = A (kx - t)
  4. Dx = A (ky - t)

Correct answer

D. x = A (ky - t)

Step-by-step solution

A traveling wave is represented by a function where the position and time variables appear together in the phase as (kx t) or (ky t) . Options (1) and (2) represent standing waves because the spatial and temporal variables are separated into a product of trigonometric functions. Option (3) represents a wave propagating along the X -axis because the phase is (kx - t) . Option (4) represents a wave propagating along the Y -axis because the phase is (ky - t) , with the displacement of particles occurring along the X -

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