A standing wave is formed on a string fixed at both the ends. The individual waves i.e…
Physics · JEE Main · NTA Exams — Oscillations and Waves
A standing wave is formed on a string fixed at both the ends. The individual waves i.e., incident wave and reflected wave are \(y_{1}(x, t)=a \sin (k x-\omega t)\) and \(y_{2}(x, t)=a \sin (k x+\omega t)\), respectively. The two waves have same wavelength ‘\(\lambda\)’.
The position of anti-nodes is given by the equation,
The position of anti-nodes is given by the equation,
- \(x=\left(n+\frac{1}{2}\right) \frac{\lambda}{2}\); n = 0, 1, 2, 3, ...
- \(x=\frac{n \lambda}{2} ;\)n = 0, 1, 2, 3, ...
- \(x=\frac{(2 n+1) \lambda}{2} ;\)n = 0, 1, 2, 3, ...
- x = (2n + 1); n = 0, 1, 2, 3, ...
Answer
(A) x= (n+ 1 2 ) 2 ; n = 0, 1, 2, 3, ...
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