A) The wave is propagating along the positive x-axis with speed \[25\,m\,{{s}^{-1}}\].
B) The wave is propagating along the positive x-axis with speed \[100\,m\,{{s}^{-1}}\].
C) The wave is propagating along the negative x-axis with speed \[25\,m\,{{s}^{-1}}\].
D) The wave is propagating along the negative x-axis with speed \[100\,m\,{{s}^{-1}}\].
Correct Answer: C
Solution :
The given wave is \[y(x,t)={{10}^{-3}}\sin (50t+2x)\] Comparing with standard equation \[y(x,t)=a\sin (\omega t+\beta x)\] Velocity \[v=\frac{\omega }{\beta }=\frac{50}{2}=25m\,{{s}^{-1}}\] In the given equation x is positive. Therefore, the wave is travelling in the negative x-direction.
You need to login to perform this action.
You will be redirected in
3 sec
