Derive the exponential expression that describes the radioactivedecay in the number of nucleotides, N over a time, t. Give anexample of another physical phenomenon which is described by anexponential relationship such as this. b) A radioactivenucleotide has a half-life of 20.0 years. What fraction of aninitially pure sample of this nuclide will remain at the end of (i)50.0 years, and (ii) 100.0 years. c) Give an account ofnuclear binding energy, accompanied by a labelled graph of bindingenergy per nucleon versus the number of nucleons that explains whysome elements undergo fission reactions whilst some undergo fusionreactions. d) Calculate the nuclear binding energy in MeVof the 92 protons and 146 neutrons in the nucleus of a 238U atom.Note the following: the mass of 238U atom = 238.05079 u; the massof the Hydrogen atom = 1.00783 u; and the mass of the neutron =1.00866 u, where u is the atomic mass unit.