Assume that a neutron breaks into a proton and an electron. The energy released during this process is(Mass of neutron = 1.6725 x 10^–27kg; mass of proton = 1.6725 x 10^–27kg; mass of electron = 9 x 10^–31kg)

0.73 MeV

7.10 MeV

6.30 MeV

5.4 MeV

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Solution

0.73 MeV

increment straight m space equals space left parenthesis straight m subscript straight p plus straight m subscript straight e right parenthesis minus straight m subscript straight n space equals space 9 space straight x 10 to the power of negative 31 end exponent space kg. Energy space released space equals space left parenthesis 9 space straight x space 10 to the power of negative 31 end exponent space kg right parenthesis space straight c squared space joules space equals space fraction numerator 9 space straight x 10 to the power of negative 31 end exponent space straight x space left parenthesis 3 space straight x space 10 to the power of 8 right parenthesis squared over denominator 1.6 space straight x space 110 to the power of negative 13 end exponent end fraction space space MeV space equals space 0.73 space MeV

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