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I think that the smallest detectable wavelength is a gamma ray. This can be seen on the scale looking at wavelengths from shortest to longest. The order from shortest to longest is a gamma ray, x-ray, ultraviolet ray, visible light, infarred, then radio.
Some context is needed for this question because you could be talking about the smallest detectable visible wavelength or the smallest detectable wavelength in the entire electromagnetic spectrum. For the former, violet would be the smallest detectable visible wavelength at 380 nm due to its higher frequency. For the latter, gamma rays would be regarded as the smallest detectable wavelength (fun fact: gamma rays are affiliated with nuclear energy). Gamma rays have wavelengths less than 1 nm with a range of frequencies greater than 3x10^17 s-1. I hope this helped.
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