Y(x,t) = 0.05 / [(4x + 2t)2 + 5] represents a moving wave pulse, where x and y are in meters and t i

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Y(x,t) = 0.05 / [(4x + 2t)2 + 5] represents a moving wave pulse, where x and y are in meters and t is in seconds. Then which statement(s) are CORRECT:

Accepted Answer

Sol. y(x, t) = $\frac{0.05}{\lbrack(4x + 2t)^{2} + 5\rbrack}$ = $\frac{0.05}{\left\lbrack 16\left( x + \frac{t}{2} \right)^{2} + 5 \right\rbrack}$Sov = 0.5 m/s in –ve x directionat t = 0, y(x, 0) = $\frac{0.05}{16x^{2} + 5}$ (Symmetric function)at x = 0, displacement is maximumymax = $\frac{0.05}{5}$ = 0.01 m = 1 cm

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