the expression of the function y = (x, t) i.e. displacement of a particle at position x and time t

y = \frac{2}{(t - \frac{x}{2}) + 1}

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y = \frac{2}{{(t - \frac{x}{2})}^{2} + 1}

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y = \frac{2}{{(t)}^{2} + 1}

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y = \frac{2}{{(\frac{x}{2})}^{2} + 1}

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Solution

The correct option is B $y = \frac{2}{{(t - \frac{x}{2})}^{2} + 1}$
By replacing t by $(t - \frac{x}{y})$ we can get the desired wave function i.e.
$y = \frac{2}{{(t - \frac{x}{2})}^{2} + 1}$

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