Explanation
(a) Nucleon number is the total number of protons and neutrons in the nucleus of an atom.

(b)(i) Number of neutrons in the nucleus of Americium = 241 - 90 =146.
(ii) a = 2
b = 4
c = 95 - 2
= 93.

(c)(i) Y-ray are electrically neutral or carry no charge.
(ii) properties of gamma rays that makes them suitable for medical sterilization of equipment are:
(1) Possession of strong penetrating power.
(2) Posession of low ionizing power.

(d) \(\frac{N}{N_o} = (\frac{1}{2})^a = \frac{1}{32} = (\frac{1}{2})^a\) = (\(\frac{1}{2})^5\)
But T\(_\frac{1}{2}\) = \(\frac{t}{n} = \frac{110}{5}\) = 22 years
Hence \(\lambda\) = \(\frac{0.693}{T_{\frac{1}{2}}} = \frac{0,693}{22}\)
Decay constant \(\lambda\) 3.2 x 10\(^{-2}\) per year


