The masses of $^{11} C$ and $^{11} B$ are respectively 11.0114 u and 11.0093 u. Find the maximum energy a position can have in the $β^{+} -$ decay of $^{11} C$ to $^{11} B$

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Solution

$^{11} C \to^{11} B + β^{+} + v$

Mass of $C^{11} = 11.01 u$

mass $B^{11} = 11.0093 u$

Energy liberated = (11.014 - 11.0093) u

=29.5127

$Mev$ For maximum K.E. of the position energy of v may be assumed as 0.

$∴$ Maximum K.E. of the positron is 29.5127 MeV

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