Question

At t = 0, a transverse wave pulse in a wire is described by the function, $y=\frac{6}{x^2+3}$ where x and y are in metres. Write the function y (x, t) that describes this wave if it is travelling in the positive x-direction with a speed of 4.5 m/s.

• A. $\frac{6}{(x+4.5t{)}^2+3}$
• B. $\frac{6}{(x-4.5t{)}^2+3}$
• C. $\frac{6}{{(t-\frac{x}{4.5})}^2+3}$
• D. $\frac{6}{{(t+\frac{x}{4.5})}^2+3}$

Answer 1

The correct option is B

$\frac{6}{(x-4.5t{)}^2+3}$

$y=\frac{6}{x^2+3}As;y(x,t)=f(x-vt)=\frac{6}{(x-4.5t{)}^2+3}$