X-ray of wavelength 1\cdot 4\text{ \AA} is found to be Bragg reflected from (111) plane of an fcc structure. If the lattice parameter of the crystal is 5\text{ \AA}, find the angle at which the X-ray beam is incident on the (111) plane of the crystal.
How does liquid drop model explain fission?
Explain how the nuclear spin I depends on the mass number A and atomic number Z of atoms.
How are elementary particles classified on the basis of their participation in fundamental interaction?
It is possible to estimate the nuclear radius from the study of alpha decay? Explain how.
What are the limitations of shell model?
What are salient features of nuclear forces?
Explain why stable light nuclei have equal number of protons and neutrons whereas heavy nuclei have excess of neutron.
Discuss Yukawa’s theory of nuclear forces.
What are the magic numbers in nuclei? List the experimental evidences indicating their existence.
Briefly explain the meson theory of nuclear force.
What are the major components of a fission reactor ? With a schematic diagram explain its working.
How does the semi-empirical mass formula explain the stability of a nucleus against beta decay ?
Explain why each of the following reactions is forbidden :
(i) p + p \rightarrow p + p + n
(ii) p + p \rightarrow p + \pi^+ + \gamma
(iii) \Xi^0 \rightarrow n + \pi^0
(iv) \Lambda \rightarrow p + \pi^0
(v) u_e + p \rightarrow n + e^+
{}_{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.
Calculate the energy released per gram of fuel for the nuclear reaction {}_1^2\text{H} + {}_1^2\text{H} \rightarrow {}_1^3\text{H} + {}_1^1\text{H}
Explain in detail the classification of elementary particles.
An atom in an excited state of 4\cdot 7\text{ eV} emits a photon and ends up in the ground state. The lifetime of the excited state is 10^{-13}\text{ s}. Calculate the energy uncertainty and obtain the spectral line width in wavelength of photon.
Discuss the different coupling schemes in atomic spectroscopy with suitable diagrams.
How is proton magnetic resonance applied to determine the chemical shifts in molecules containing hydrogen atom ? Illustrate your answer with a suitable example.
