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A standing wave given by the equation y=...

A standing wave given by the equation `y=2A sin ((pix)/L) sin omegat` is formed between the points x=- L and x = L The separation between two such particles, which have their maximum velocity half the maximum velocity of the antinodes and which are closest to the particle present f x=0, is L/k thon find the value of k.

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To solve the problem, we will follow these steps: ### Step 1: Understand the standing wave equation The standing wave is given by the equation: \[ y = 2A \sin\left(\frac{\pi x}{L}\right) \sin(\omega t) \] This equation describes the displacement of the wave at any point \( x \) and time \( t \). ### Step 2: Determine the maximum velocity of the antinode ...
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