Q. Consider the three waves, z$_{1}$ , z$_{2}$ and z$_{3}$ as $z_{1} = A\sin(kx - \omega t)$ $z_{2} = A\sin(kx + \omega t)$ $z_{3} = A\sin(kx - \omega t)$ Which of the following represent a standing wave?
A) $z_{1} + z_{2}$
B) $z_{2} + z_{3}$
C) $z_{3} + z_{1}$
D) $z_{1} + z_{2} + z_{3}$
Explanation
(a) Sending wave mode arises from the combination of reflection and impedance such that the reflected wave interfere and impedance such that the reflected waves interfere constructively with the incident wave.
Wave $z_{1} = A\sin{(kx - \omega t)}$ is travelling along positive x-direction, $z_{2} = A\sin{(kx + \omega t)\ }$is travelling along positive y-direction. Hence, $z_{1} + z_{2}$ produce standing wave because they travel along same axis but in opposite direction.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.