Question
What are standing waves? Discuss graphical method for formation of standing waves on stretched strings.
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Answer
Standing waves are the pattern of waves produced when two waves moving in opposite direction interact. They do not transport energy.
If a wave ‘A’ is made to hit a rigid support, there will be a reflected wave 'B' from the rigid support. As the two waves are super imposed, there will be a standing wave (as shown) produced.
It can be represented by the equation, $\text{y}=2\text{A}\sin\text{kx}\cos\omega\text{t}$indicating a position varying amplitude $(2\text{A}\sin\text{kx})$
If a wave ‘A’ is made to hit a rigid support, there will be a reflected wave 'B' from the rigid support. As the two waves are super imposed, there will be a standing wave (as shown) produced.
It can be represented by the equation, $\text{y}=2\text{A}\sin\text{kx}\cos\omega\text{t}$indicating a position varying amplitude $(2\text{A}\sin\text{kx})$
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