Consider the three waves z 1 , z 2 and z 3 as z 1 = A sin ( k x − ω t ) , z 2 = A sin ( k x + ω t ) and z 3 = A sin ( k y − ω t ) . Which of the following represents a standing wave:

Question

Consider the three waves z 1 ​ , z 2 ​ and z 3 ​ as z 1 ​ = A sin ( k x − ω t ) , z 2 ​ = A sin ( k x + ω t ) and z 3 ​ = A sin ( k y − ω t ) . Which of the following represents a standing wave:

TestHub · Accepted Answer

z 1 ​ and z 2 ​ have the same amplitude and wave number along x and travel in opposite directions, so z 1 ​ + z 2 ​ = 2 A sin k x cos ω t , a standing wave. z 3 ​ depends on y and cannot combine into one.

Physics - Wave on String Question with Solution | TestHub

Options:

Doubts & Discussion