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JEE Main 202124 FebruaryEvening Shift
Exam
JEE Main
Year
2021
Date
24 February
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2021 · 24 February · Evening Shift · Physics · Waves and Sound

Which of the following equations represents a travelling wave?

Which of the following equations represents a travelling wave?

Options

  1. Ay=Asin(15x−2t)y = Asin\left(15x - 2t\right)
  2. By=Aexcos⁡(\omegat−θ)y = {Ae}^{x}\cos \left(\omegat - \theta\right)
  3. Cy=Ae−x2(vt+θ)y = {Ae}^{- {x}^{2}}\left(vt + \theta\right)
  4. Dy=Asinxcos\omegaty = Asinxcos\omegat

Correct answer

A. y=Asin(15x−2t)y = Asin\left(15x - 2t\right)

Step-by-step solution

The given function should be in the form of f(x±vt)f\left(x \pm vt\right).

So, for travelling wave yy should be linear function of xx and ttand should be finite and continuous for all values of tt.

y=Asin(15x−2t)→y = Asin\left(15x - 2t\right) \to linear function in xx and tt.

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