JEE Advanced 2013 Paper 2 Physics Q11

Physics · Nuclei & Radioactivity

Problem

Paragraph for Questions 11 and 12 The mass of a nucleus ZAX {}^{A}_{Z}X is less than the sum of the masses of (A−Z)(A-Z) number of neutrons and ZZ number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass MM can break into two light nuclei of masses m1m_1 and m2m_2 only if (m1+m2)<M(m_1+m_2)<M. Also two light nuclei of masses m3m_3 and m4m_4 can undergo complete fusion and form a heavy nucleus of mass M′M' only if (m3+m4)>M′(m_3+m_4)>M'. The masses of some neutral atoms are given in the table below: \begin{array}{c|c@{\quad}c|c@{\quad}c|c@{\quad}c|c}{}^{1}_{1}\mathrm{H}&1.007825\,u&{}^{2}_{1}\mathrm{H}&2.014102\,u&{}^{3}_{1}\mathrm{H}&3.016050\,u&{}^{4}_{2}\mathrm{He}&4.002603\,u\\{}^{6}_{3}\mathrm{Li}&6.015123\,u&{}^{7}_{3}\mathrm{Li}&7.016004\,u&{}^{70}_{30}\mathrm{Zn}&69.925325\,u&{}^{82}_{34}\mathrm{Se}&81.916709\,u\\{}^{152}_{64}\mathrm{Gd}&151.919803\,u&{}^{206}_{82}\mathrm{Pb}&205.974455\,u&{}^{209}_{83}\mathrm{Bi}&208.980388\,u&{}^{210}_{84}\mathrm{Po}&209.982876\,u\end{array} (1 u=932 MeV/c2)(1\,u=932\,\mathrm{MeV}/c^2) The correct statement is

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