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A particle with zero mass (a neutrino, possibly) can transport momentum. However, by Eq. 20-23, the momentum is directly proportional to the mass and therefore should be zero if the mass is zero. Explain.
Neutrino is not a classical particle. It is a relativistic quantum particle. For a relativistic quantum particle, momentum (p) is defined asp = E /cHere E is the relativistic energy of the particle and c is the speed of the light.The emitted neutrino has energy associated with it. This means it can have momentum.Again we know that,E = hfHere, h is the Planck’s constant and f is the frequency of the particle.To obtain momentum (p) of the neutrino, substitute hf for energy E in the equationp = E /c,p = E /c = hf /c= h/λ (Since, speed of light (c) = frequency (f) × wavelength (λ))Therefore measuring wavelength λ of the neutrino you can obtain the momentum of the neutrino despite of that zero mass.
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