Stationary waves are formed\

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Professor PC Thomas Classes · Answer

Summary of Stationary waves \(1)Condition for forming stationary waves\ a) The two waves must be of the same wave length or frequency.\ b) The two waves must be of equal or nearly equal amplitude.\ c) The two waves must travel in opposite directions through the same region at the same time ie they must superpose in opposite directions.\Component equations\ $\mathrm{y}_{1}=\mathrm{A} \sin \frac{2 \pi}{\lambda}(\mathrm{vt}-\mathrm{x})$\ Wave moving to the left is\ $\mathrm{y}_{2}=\mathrm{A} \sin \frac{2 \pi}{\lambda}(\mathrm{vt}+\mathrm{x})$\ Stationary wave is\ $y=y_{1}+y_{2}=\left(\frac{2 A \cos 2 \pi x}{\lambda}\right) \sin \left(\frac{2 \pi v t}{\lambda}\right)$\ The first term is amplitude term. The second term is phase term.\(3)Amplitude varies with