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3 years ago

Which condition is essential for the formation of a standing wave?

Physics

1 answer:

frosja888 [35]3 years ago

4 0

Half a wavelength must fit exactly into the length of a vibrating cord

Explanation:

A standing wave is a wave produced by the interference between a wave and its reflection. A standing wave is the wave produced, for instance, in the string of a guitar.

A standing wave is different from other types of waves because it does not propagate in space, but it only vibrate in a fixed region.

A standing wave is characterized by the presence of:

Nodes: points where the amplitude of the wave is always zero (destructive interference)
Antinodes: points where the amplitude of the wave is maximum (constructive interference)

The two ends of the string do not vibrate: this means that they always correspond to two nodes. If we take the fundamental mode of vibration of the string (so, no other nodes), we see that the length of the string corresponds to the distance between two consecutive nodes: however, this also corresponds to half the wavelength of the wave. Therefore, we can conclude that the correct option is

Half a wavelength must fit exactly into the length of a vibrating cord

Learn more about waves:

brainly.com/question/5354733

brainly.com/question/9077368

#LearnwithBrainly

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$\to E_1=0..............(i)\\\\\to E_2= \frac{mV^2}{2} +\frac{Iw^2}{2} - mgh.............(ii)\\\\ \Delta E=0\\\\\to mgh= \frac{mV^2}{2} +\frac{Iw^2}{2} \\\\ \to 2 \ mgh= mV^2 +Iw^2\\\\ \to 2 \ mgh- mV^2 =Iw^2\\\\ \to m(2gh- V^2) =Iw^2\\\\ \to I= \frac{m(2gh- V^2)}{w^2}$

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