Assume that a neutron breaks into a proton and an electron . The energy reased during this process is (mass of neutron `= 1.6725 xx 10^(-27) kg` mass of proton `= 1.6725 xx 10^(-27) kg` mass of electron `= 9 xx 10^(-31) kg )`

Options

A. `0.506MeV`
B. `7.10MeV`
C. `6.39MeV`
D. `5.4MeV`

Answer

A

Explanation

The nuclear reaction is
`._(0)n^(1)to._(1)p^(1)+._(-1)e^(0)`
Mass defect, `Deltam = (m_(p)-m_(e))-m_(n)`
`= (1.6725xx10^(-27)+9xx10^(-31))-1.6725xx10^(-27)`
`=9xx10^(-31)kg`
Energy released `=(Deltam)c^(2)`
`=9xx10^(-31)(3xx10^(8))^(2)J`
`DeltaE=(81xx10^(-15))/(1.6xx10^(-13)) MeV`
`=0.506 MeV`