# Smallest wavelenghth?

Wavelengths vary over many orders of magnitude; AM radio is about 300 meter wavelength, FM about 3 m, 1 GHz about 30 cm, infrared about 1 to 100 microns, red light about 600 nanometers, blue light about 400 nanometers, etc.

As above...red light about 600 nanometers, blue light about 400 nanometers, so what could the smallest possible wavelength of light be or is it infinely small?

or the longest possible wavelength for that matter

Do you mean the smallest wavelength of visible light or any type?

Gamma rays have the shortest wavelengths of any other type of electromagnetism. They can have wavelengths of less than 10 picometre.

On the other hand, Extremely low frequency is abought $$\lambda$$=100Mm

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stevebd1
Gold Member
You might say that the smallest wavelength possible would be http://en.wikipedia.org/wiki/Planck_length" [Broken] (1.616e-35 metres) which is the smallest distance predicted before quantum effects reduce spacetime to a quantum foam.

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Do you mean the smallest wavelength of visible light or any type?

Gamma rays have the shortest wavelengths of any other type of electromagnetism. They can have wavelengths of less than 10 picometre.

On the other hand, Extremely low frequency is abought $$\lambda$$=100Mm
You might say that the smallest wavelength possible would be http://en.wikipedia.org/wiki/Planck_length" [Broken] (1.616e-35 metres) which is the smallest distance predicted before quantum effects reduce spacetime to a quantum foam.

Could the smallest/longest wavelength be ascosciated with zero point energy?

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Matterwave
Gold Member
Possibly the longest wavelength of light can be associated with a zero-point energy, but the smallest wavelength of light is associated with the highest energy possible in one photon. These are probably limited by Quantum Mechanics, though I'm not sure.

The highest and lowest wavelengths are, naively, as close to infinity and zero as possible, disregarding quantum effects. These can occur as you get red/blue shifted and as you get closer and closer to the speed of light. We can see that from the relativistic doppler shift:
$$\lambda_0=\sqrt{\frac{1+\frac{v}{c}}{1-\frac{v}{c}}}\lambda_s$$
Although since you can never achieve the speed of light the wavelengths will never achieve infinity or zero.