A plot of the number of neutrons ( N ) against the number of protons ( P ) of the stable nuclei exhibits…

A plot of the number of neutrons (N) against the number of protons (P) of the stable nuclei exhibits upwards 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):
  1. β- decay ( β emission)
  2. Orbital of K-electron capture
  3. Neutron emission
  4. β+ decay (positron emission)

Solution

As NP ratio is less than 1, for possible decay mode, NP ratio should increase. The possible modes are α-decay, K-capture and β+-decay. Hence, the correct options are 2 and 4 (In β--decay or neutron decay, NP ratio will decrease further).
NP should increase. So,
0e-1+p11n10 [K-electron Capture]
p11n10+β01 [β+-decay]
 

Asked in: JEE Advanced 2016 (Paper 1)

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