Consider the three waves z_1 , z_2 and z_3 as z_1 = A (kx - ,t), … - Vidyadip

MCQ

Consider the three waves

${z_1},{z_2}$ and ${z_3}$ as${z_1} = A\sin (kx - \omega \,t)$, ${z_2} = A\sin (kx + \omega \,t)$ and ${z_3} = A\sin (ky - \omega \,t)$.

Which of the following represents a standing wave

✓
${z_1} + {z_2}$
B
${z_2} + {z_3}$
C
${z_3} + {z_1}$
D
${z_1} + {z_2} + {z_3}$

✓

Answer

Correct option: A.

${z_1} + {z_2}$

a
(a) Waves ${Z_1} = A\sin (kx - \omega t)$ is travelling towards positive $x-$direction.

Wave ${Z_2} = A\sin (kx + \omega t)$, is travelling towards negative $x-$direction.

Wave ${Z_3} = A\sin (ky - \omega t)$ is travelling towards positive $y$ direction.

Since waves $Z_1$ and $Z_2$ are travelling along the same line so they will produce stationary wave.

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