Question

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 $4.5m{s}^{-1}$ is

• A. $y=\frac{6}{{\left(x+4\text{.}5t\right)}^3-3}$
• B. $y=\frac{6}{\left(x-4\text{.}5t^2\right)-3}$
• C. $y=\frac{6}{{\left(x+4\text{.}5t\right)}^2-3}$
• D. $y=\frac{6}{{\left(x-4\text{.}5t\right)}^2+3}$

Answer 1

Answer: (D)

$y\left(x\text{,}t\right)=\frac{a}{{\left(x\pm vt\right)}^2+b}$ 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.