{}_{14}^{27}\text{Si} and {}_{13}^{27}\text{Al} are mirror nuclei. Their ground states are identical except the charge. If their mass difference is 6\text{ MeV}, estimate their radius neglecting the proton-neutron mass difference.
How does liquid drop model explain fission?
How are elementary particles classified on the basis of their participation in fundamental interaction?
What are the limitations of shell model?
What are the magic numbers in nuclei? List the experimental evidences indicating their existence.
What are salient features of nuclear forces?
Explain in detail the classification of elementary particles.
The masses of hydrogen atom and neutron are 1 \cdot 007825\text{ u} and 1 \cdot 008665\text{ u} respectively. Calculate the binding energy per nucleon of {}^{12}_6\text{C} nucleus.
How many fissions take place per second in a 300\text{ MW} reactor? Assume that 200\text{ MeV} is the energy released per fission.
In the following reactions indicate with an explanation, whether they proceed by strong, electromagnetic or weak interaction or they are forbidden:
(i) \pi^+ \longrightarrow \mu^+ + \nu
(ii) p \longrightarrow n + e^+ + \nu_e
(iii) p + \pi^- \longrightarrow K^+ + \Sigma^-
What is the importance of the study of deuteron? Discuss the problem of ground state of deuteron and elicit information about nuclear forces from this study.
What is solar neutrino problem and how the phenomenon of neutrino oscillations provides a solution for the problem?
Why was neutrino invoked upon by Fermi and how was it placed into experimental evidence?
How magnetic moment and electric quadrupole moment of deuteron indicate the presence of non-central forces in deuteron?
Write down the nucleonic configuration of {}^{7}\mathrm{Li}, {}^{12}\mathrm{C}, {}^{17}\mathrm{O} and {}^{27}\mathrm{Al} in the ground state of the nuclear shell model and hence calculate the corresponding ground state angular momenta and parities. How do the observed ground state angular momenta and parities agree with those predicted on the basis of shell model?
Explain parity violation in \beta-decay. Describe how parity violation was experimentally detected in the decay of {}^{60}\mathrm{Co}. Mention any other decay process in which the parity violation has been demonstrated.
Write down the quark structure of \pi^0, \pi^+, \text{K}^0 and \text{K}^+ mesons.
What is the role of neutrino in the weak interaction of radioactive nuclides? Explain the experimental detection of neutrino.
Discuss the four basic types of fundamental interactions in nature and compare them.
Which of the following reactions are permitted or forbidden by various conservation laws?
(i) k^{\mp}p \longrightarrow \Lambda^0 + \pi^0
(ii) k^+ + n \longrightarrow \Sigma^+ + \pi^0
(iii) \pi^{\mp}p \longrightarrow k^{\mp}\Sigma^+
(iv) \pi^+ + n \longrightarrow k^+ + \Lambda^0
(v) \pi^{\mp}p \longrightarrow \Lambda^0 + k^0
(vi) \pi^{\mp}p \longrightarrow k^+ + \Sigma^-
