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Question: Answered & Verified by Expert
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
PhysicsWaves and SoundJEE Main
Options:
  • A y = 6 x + 4 . 5 t 3 - 3
  • B y = 6 x - 4 . 5 t 2 + 3
  • C y = 6 x + 4 . 5 t 2 - 3
  • D y = 6 x - 4 . 5 t 2 + 3
Solution:
2796 Upvotes Verified Answer
The correct answer is: y = 6 x - 4 . 5 t 2 + 3
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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