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Q. A plot of the number of neutrons $(N)$ against the number of protons $(P)$ of stable nuclei exhibits upward deviation from linearity for atomic number, $Z > 20$. For an unstable nucleus having $N / P$ ratio less than 1, the possible mode(s) of decay is (are)

JEE AdvancedJEE Advanced 2016

Solution:

A nucleus whose low $n / p$ ratio place it below the belt of stability either emits positrons or undergo electron capture
eg ${ }_{6}^{11} C \longrightarrow { }_{5}^{11} B +{ }_{+1}^{0} e$ (Positron emission)
eg. ${ }_{56}^{133} Ba +{ }_{-1}^{0} e \longrightarrow { }_{55}^{133} Cs + X$-ray