1.

A gamma ray photon of energy 1896 MeV annihilates to produce a proton-antiproton pair. If the rest mass of each of the particles involved be 1.007276 a.m.u approximately, find how much K. E these will carry?

Answer»

Solution :WORKING on the same lines as an electron - positron pair production ,we notice that the reaction.
`GAMMA rarr` proton + antiproton + antiproton , has the energy balance
`E=m_(0("proton"))C^2+K.E._(("proton"))+m_(0("antiproton"))C^2K.E_(("antiproton"))` But `m_(0)C^2`= energy equivalent of 1.007276 a.m.u `~~` 938 MEV.
`[ :. 1.007276xx931~~938"MeV"]`
THUS K.E of each particle `=1/2`
[ 1896 MeV `-2xx938` MeV] = 10 MeV


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