Game:

The Incident (2010)

Duration: 7:55

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A standing wave is formed on a string fixed at both the ends. The individual wave, 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 \( \lambda \).
I. The position of nodes is given as \( x=n \lambda \), where \( n=0,1,2 \), \( 3, \ldots \)
II. The position of anti-nodes is given by the equation, \( x=\left(n+\frac{1}{2}\right) \frac{\lambda}{2} \), where \( n=0,1,2,3, \ldots \)
III. The distance between any two consecutive anti-nodes is \( \lambda / 2 \)
Which of the following statement(s) is/are incorrect about the standing wave?
(a) Only I
(b) Both I and II
(c) Both II and III
(d) I, II and III
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