Question

The wave function $y=\frac{2}{(x-3t{)}^2+1}$ is a solution to a linear wave equation, x and y are in cm. Find its speed

• A. 3 cm/s
• B. 4 cm/s
  
• C. 5 cm/s
  
• D. 6 cm/s
  

Answer 1

The correct option is A 3 cm/s

General Expression of wave is, $y=A\sin (\omega t-kx+\varphi )$ ,where $A$ is amplitude, $k$ is the wave number, $\omega$ is the angular frequency, $\varphi$ is the phase diferrence at initial position and $t$ and $x$ are time and position respectively.

Also, we can find the value of Speed of Wave throught this equation and that is, $v=\omega /k$ it is the speed of wave.

$⟹$ In given question Speed of Wave is, $v=\omega /k=3/1=3cm/s$

Hence option A is correct