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**problem regarding determining mass of neutrino (urgent)**

1. Homework Statement [/b]

It is found that the speed v of the neutrinos with 10 MeV of total energy is

(1- v/c) < 2x10^(-9) Estimate the mass of the neutrinos in terms of eV, and determine whether the value you find is an upper or lower limit.

My attempt:

I just start with (mc^2)(gamma) = 10Mev (m is the mass of neutrino, gamma is the Lorentz factor), and get v/c = ((1-((mc^2)/10MeV)^2)^1/2 after doing some algebra. Then, I solve the inequality and get m<632.45 eV. Is my approach and answer correct?

thx

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