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A standing wave is formed when two waves of the same frequency travel in opposite directions and interfere with each other. This results in certain points along the medium that appear to be stationary or "standing." The points where the wave amplitude is always zero are called nodes, while the points where the amplitude varies between maximum and minimum are called antinodes.
The amplitude of a standing wave formed by the interference of two traveling waves is the maximum displacement of the wave from its equilibrium position.
The points on a standing wave where no motion occurs are called nodes. At these locations, the amplitude of the wave is always zero, resulting in stationary points of zero displacement. Nodes are formed by the destructive interference of the incoming and reflected waves in a standing wave pattern.
The stationary wave on the rope is formed due to interference between a wave traveling to the fixed end and reflecting back (forming a standing wave pattern). At certain frequencies, the reflected wave interferes constructively or destructively with the incident wave, leading to regions of maximum and minimum amplitude (nodes and antinodes) on the rope. This results in the appearance of a stationary wave with distinct patterns of crests and troughs.
A standing wave is a wave pattern that appears to be stationary, formed by the interference of two waves traveling in opposite directions. These waves create points that appear to be standing still while other points experience maximum amplitudes. Examples include vibrating strings and resonating air columns.
A standing wave is formed when two waves of the same frequency and amplitude traveling in opposite directions interfere with each other. This interference creates points along the medium where the wave oscillations appear to be standing still, known as nodes, and points where the oscillations are maximized, known as antinodes.