Write the Bethe-Weiszacker mass formula. Explain the various terms involved in it. Draw curves, between binding energy per nucleon versus mass number, which represents contribution of various terms in the semi-empirical mass formula of binding energy per nucleon.
c) (i) The experimentally observed magnetic dipole moment of deuteron is
On the basis of observed dipole moment, what are the possible
spin configurations in which neutron and proton can exist in deuteron
(ii) Justify the possible reasons for the deviation in the observed and expected
value of magnetic dipole moment of deuteron.
Given:
Let's solve and explain each part manually and step-by-step as requested: --- ### (a) Bethe–Weizsäcker (Semi-Empirical Mass) Formula The semi-empirical mass formula for the binding energy $B(A, Z)$ of a nucleus of mass number $A$ and atomic number $Z$ is: $$ B(A, Z) = a_v A - a_s A^{2/3} - a_c \frac{Z(Z-1)}{A^{1/3}} - a_a \frac{(A - 2Z)^2}{A} + ____ ____ ________ ________ ________ _________ ___ ___ __________ _____.
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Using the effective range formula, evaluate the total n-p scattering cross-section for a neutron interacting with a free proton in a laboratory at 10MeV.
Given: scattering lengths:
Effective range:
A compound nucleus has a neutron resonance at 75 eV which is produced through a neutron entrance channel. The resonance state mainly decays through a neutron, gamma and alpha channel with the partial decay widths as
, respectively. Estimate the cross section for
reactions.
What is charge conjugation? Derive the eigenvalues of the charge conjugation operator
The mass defects forCalculate
the corresponding atomic mass.
Explain tensor potential which justifies the non – zero quadrupole moment of deuteron.
What are the four fundamental forces in nature? List the field particles that mediate these interactions and their properties. Which of the fundamental forces (interactions) are responsible for the neutrino flux from the sun and the neutrinos produced in the reactors?
A human body contains 0.245kg of normal potassium (K) of which 0.015 percent isthe radioactive beta emitter potassium-40 Calculate therate of production of
-particles in the body from the decay of potassium-40. What is the activity?