1)

 A plot of the number of neutons (n) against the number of protons (p) of stable nuclei exhibits upward deviation from linearity  for atomic number, Z >20, For an unstable nucleas having n/p ratio less than 1, the possible mode (s) of decay is (are)


A) $\beta^{-}-$ decay ( $\beta$ - emission)

B) orbital or K- electron capture

C) neutron emission

D) $\beta^{+}$ - decay (positron emission)

Answer:

Option B,D

Explanation:

For the elements with atomic number (Z) larger than 20,

 Neutrons  (n)  > Protons (p);  Thus, n/p>1.   Thus , there is upward  deviation from linearity

    If n<p, thus n/p <1, then

  (a) By  $\beta^{-}$   - decay ,  $_{0}^{1}n\rightarrow ^{1}_{1}p+$ $_{-1}^{0}e$

 neutron changes to proton. Thus (n/p) ratio further decreases below 1.

 Thus, this decay is not allowed

   (b)By orbital or K - electron capture.

 $^{1}_{1}p+$ $_{-1}^{0}e\rightarrow _0^1n^{}$ proton changes to neutron, hence , (n/p) ratio increases.

  Thus stability increases. Thus correct.

 (c) Neutron  emission further decreases n/p ratio.

   (d)  By   $\beta^{+}$  - emission . $^{1}_{1}p\rightarrow _0^1n^{}+$ $_{+1}^{0}e$  proton changes to neutron.

    Hence,n/p ratio increases, Thus correct

1822021574_C23.JPG

Plot of the number of neutrons against the number of protons in stable nuclei (shown by dots)