Determine from the given data whether the following reactions are exothermic or endothermic:
(i) {}^{1}_{1}\mathrm{H}+{}^{3}_{1}\mathrm{H}\rightarrow{}^{2}_{1}\mathrm{H}+{}^{2}_{1}\mathrm{H}
(ii) {}^{12}_{6}\mathrm{C}+{}^{12}_{6}\mathrm{C}\rightarrow{}^{20}_{10}\mathrm{Ne}+{}^{4}_{2}\mathrm{He}
Calculate the recoil energy of {}^{57}_{26}\mathrm{Fe} nucleus when it emits a gamma photon of energy 14\,\mathrm{keV}.
Write down the Bethe-Weizsäcker semiempirical mass formula for a nucleus. Explain the significance of each term occurring in it. Discuss the stability of a nucleus against \beta-decay. What is the effect of pairing term on stability?
What are mirror nuclei? How does the charge independence of nuclear force emerges from this concept?
(i) Explain how the helicity of neutrino can be measured. (ii) What are 'strange particles' and what is 'strangeness number' ?
What is Q value of a nuclear reaction ? Obtain an expression for the Q-value in terms of mass and energy of the particles.
On the basis of binding energy curve explain why energy is released both in Fission and Fusion.
What do you mean by non-central forces?
Show that nucleus is a quantum system.
Explain conservation of Baryon Number. Comment on the stability of proton.
What are the reactor materials used in design and construction of a nuclear reactor and their important functions ?
Find the density of {}^{12}_6 C nucleus. (Given, nuclear radius of carbon = 2\cdot 7 \times 10^{-15} \text{ m})
Explain the source of energy in stars using proton-proton thermonuclear reaction cycles.
What are magic numbers in an atomic nucleus and why are they so called ? How is it explained using nuclear shell model ?
What are quarks ? Give any four properties. Give quark composition of the following particles : p,\quad n,\quad \Lambda^\circ,\quad \Pi^+,\quad K^+
What type of interaction takes place in the following reactions and justify your answer. (i) \mu^- \longrightarrow e^- + u_e + \bar{\nu}_\mu (ii) p + \mu^- \longrightarrow n + u_\mu
{}^{235}\mathrm{U} yields two fragments of A=95 and A=140. Obtain the energy distribution of the fission products. Assume that the two fragments are ejected with equal and opposite momentum.
What are chain reactions? What do you mean by critical size of the core in which chain reactions take place? What is critical mass?
Find the total kinetic energy of electron and antielectron neutrino emitted in beta decay of free neutron. (The neutron-proton mass difference is 1.30\,\mathrm{MeV} and mass of electron is 0.51\,\mathrm{MeV})
A star converts all its hydrogen to helium, achieving 100% helium. It then converts the helium to carbon via the reaction {}^{4}_{2}\mathrm{He}+{}^{4}_{2}\mathrm{He}+{}^{4}_{2}\mathrm{He}\rightarrow{}^{12}_{6}\mathrm{C}+7\cdot27\mathrm{MeV} The mass of the star is 5.0\times10^{32}\,\mathrm{kg} and it generates energy at the rate of 5\times10^{30}\,\mathrm{W}. How long will it take to convert all Helium to carbon at this rate?
