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I'm really curious on this subject and I want to know if neutrinos have mass. I know they are a subatomic particle, but how much mass.

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Neutrinos indeed do have mass, we don't know how much mass exactly, but ongoing research have put upper limits of about 0.3 eV [Thanks to Giorgio Comitini for providing a more accurate value]. Compare with e.g. an electron which has a mass of about $0.5 \times 10^{6} eV $.

We know that neutrinos have mass because (2015 Nobel Prize!) it has been found that they change from one family to another. There are three neutrino families. This 'oscillation' is only possible if they have mass, and if the mass for each family is different from another's (since they are identical in all other aspects.)

I'd recommend reading https://en.wikipedia.org/wiki/Solar_neutrino_problem for a not-too-complicated introduction.

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