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Consider the three waves z(1), z(2) "and...

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"(ky - omega t)`
Which of the following represents 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)`

Text Solution

Verified by Experts

The correct Answer is:
A
Waves `Z_(1) = A sin(kx - omegat)` is travelling towards positive x - direction.
Wave `Z_(2) = A sin(kx - omegat)` is travelling towards negative x-direction.
Wave `Z_(3) = A sin(kx - omegat)` is travelling towards negative x-direction.
Since waves `Z_(1) and Z_(2)` are travelling along the same line so they will produce statinoary wave.
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