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Waves are disturbances that transport energy without transporting mass. Learn the mechanism underlying sound, deep ocean swells, light, and even the levitation of objects in mid air.

Boundary conditions of standing waves


If two adjacent resonant frequencies are \(440\) and \(330\text{ Hz}\) for a string which is stretched to a length of \(77.0\text{ cm},\) what is the lowest resonant frequency?

Consider a wire with length \(8.0\text{ m}\) and mass \(110\text{ g}\) which is under a tension of \(290\text{ N}.\) What are the lowest and the third lowest frequency for a standing wave on the wire?

Consider two identical sinusoidal waves with the same wavelength and amplitude traveling in opposite directions along a string with a speed of \(30.0 \text{ cm/s}.\) If the time interval between adjacent instants when the string is flat is \(0.100\text{ s},\) what is the wavelength of the waves?

If a string with length \(5.50\text{ m},\) mass \(0.120\text{ kg},\) and tension \(98.0\text{ N}\) is oscillating, approximately what are the longest possible wavelength and frequency for a standing wave?

Suppose that a string, two ends of which is fixed at a distance of \(D=120.0\text{ cm},\) has a linear density of \(7.4\text{ g/m}\) and is under a tension of \(150\text{ N}.\) If the string is oscillating in a standing wave pattern, as shown in the above figure, what is the approximate frequency of the traveling waves?


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