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How long is a rope if its standing wave fundamental frequency has a wavelength of 10 meters?

The length of the rope would be half the wavelength of the standing wave, so in this case, the rope would be 5 meters long. This is because the fundamental frequency of the standing wave has one full wavelength, which corresponds to half the length of the rope.


Why are derived units more complex than fundamental units and why is it important to know whether a unit is derived or fundamental?

Derived units are simply more complex because they are made up of several (that is, usually, by more than one) base unit. It is just the way they are defined; for example, in the SI, distance and time are base units, while speed is a derived unit (distance / time). You can just as well invent a system of units where - for example - time and speed are base units; in this case, distance would be a derived unit.


An organ pipe open at both ends is observed to have a harmonic at 440 Hz and the next higher harmonic at 528 Hz What is the fundamental for the pipe?

Clue: 528/440 = 1.2 = 6/5. The wavelengths of the partials (harmonics) of an open pipe are in the proportions 1/1 fundamental 1/2 1st harmonic 1/3 2nd harmonic 1/4 3rd harmonic etc. I'm betting your pipe sounds an F, one of the lowest notes that most male voices can reach. Can you prove it mathematically?


Why physics called the basic science?

it isn't physics is the most complex and beautiful science and is the basis of nearly all other subjects. Never a basic science but a 'Fundamental Science' alongside chemistry and biology. Fundamental in this case meaning the basis of all things; the building blocks.


Which standing wave has exactly two anti-nodes?

A standing wave with two anti-nodes is known as the second harmonic or first overtone. In this case, the wave has a node at each end with two anti-nodes in between. This pattern represents the fundamental frequency of the vibrating system.

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