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I understand from the lecture that if the wavelength is smaller than 10^-18, it does not have wavelike properties. However, did Professor Lavelle mention why this was so? Is there an equation or experiment that determines this value to be the cut-off?
From my understanding, when the wavelength is smaller than 10^-18, it is so undetectable that the object should be considered a classical particle instead. For example, the car he mentioned cannot have wavelike properties whilst an electron can due to its minuscule size.
The electromagnetic spectrum (EMS) is the general name given to the known range of electromagnetic radiation. Wavelengths increase from approximately 10^-18 m to 100 km, and this corresponds to frequencies decreasing from 3 × 10^26 Hz to 3 ×10^3 Hz. The smallest electromagnetic waves we know about are gamma rays. In theory, there could be smaller waves but currently we can't detect them. Also, something has to transmit the wave in the first place, so gamma radiation is emitted when particles go through radioactive decay.
As Jack said, the EMS has currently identified wavelengths between the range of 10^(-18) to approximately 100 km. Since the smallest identifiable wavelength is to the 10^-18 (gamma waves), anything smaller than that is undetectable. The car mentioned in class would be considered a classical particle without wavelike properties.
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