Identify the figure, which correctly represents the given wave function $y = 2\sqrt{3} \sin \pi \left( x -…

Identify the figure, which correctly represents the given wave function $y = 2\sqrt{3} \sin \pi \left( x - 2t + \frac{1}{6} \right)$ Two graphs showing y vs x at t = 0 for options (a) and (b)
  1. Graph (a)
  2. Graph (b)
  3. Both graphs are possible
  4. None of the two graphs are possible

Solution

At $x = 0$, $t = 0$, $y = \sqrt{3}$ Further, if $x$ is slightly greater than $0$, $y$ is slightly greater than $\sqrt{3}$. Therefore, the correct graph is (a).

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