IGNOU MSCPH MPH 17 NUCLEAR AND PARTICLE PHYSICS Solved Assignment ENGLISH

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MPH 017 (January 2026 - July 2026) - ENGLISH

Tutor Marked Assignment

NUCLEAR AND PARTICLE PHYSICS

Course Code: MPH-017

Assignment Code: MPH-017/TMA/2026

Max. Marks: 100

Note: Attempt all questions. The marks for each question are indicated against it.

PART A

1. a) Calculate the mass defect of Boron-10 and proton separation energy.
Given:

b) The mass defects for and are , and respectively. Calculate the corresponding atomic mass.

c) For the nuclear charge density , compute the charge form factor and the mean square charge radius .

d) Explain and justify the observed deviations in magnetic dipole moment and quadrupole moment of deuteron.

e) i) List any three major differences between low energy scattering and scattering.

ii) Calculate the third component of isospin T₃ for and .

2. a) Write the semi-empirical mass formula. On the basis of semi-empirical mass formula, derive the condition of stability of a given nucleus.

b) Determine the expected shell-model quadrupole moment of .

c) i) Write short notes on

• Internal conversion,
• Nuclear isomerism 
• -decay process with one example.

d) Obtain an expression of momentum distribution of -particles in the momentum range to , considering the Coulomb correction term. Also, derive the energy distribution function to get the shape of the -decay spectrum.

e) Calculate the energy produced (in Joules) by fission of of .

Given: The energy released per fission of is .

PART B

3. a) What is reciprocity theorem of nuclear reactions? Obtain its mathematical expression. Rewrite the reciprocity theorem considering the spin of all the involved nuclei.

b) A reactor operating at a power level of uses thermal neutrons producing fissions of . If the thermal flux is , calculate the mass of present in the reactor? Assume .

c) Explain the phenomenon of nuclear fission. What is the importance of chain reactor in nuclear fission? Explain briefly the principle of operation of a nuclear reactor.

d) A thin target of thickness is bombarded with a proton beam resulting in . Calculate the reaction cross-section for this nuclear reaction.

Given: Density of .

e) Define Q-value of a nuclear reaction. Calculate the Q-value of the reaction: . Given:

Whether the reaction is exoergic or endoergic?

4. a) Check if isospin is conserved in the following reactions:

i)

ii)

b) Explain why we must define an intrinsic parity for each particle.

c) From the isospin and hypercharge assignment show that the t and b quarks have charges +2/3 and -1/3 respectively.

d) Write down the wave function for . Use the isospin raising operator to derive the wavefunctions for and .

e) Consider K meson of mass m_K decaying into two pions of mass each, in the laboratory frame. Show that the energy of each pion is equal to and the momenta are .
 

 

MPH 017 (January 2025 - July 2025) - ENGLISH

Tutor Marked Assignment

NUCLEAR AND PARTICLE PHYSICS

Course Code: MPH-017

Assignment Code: MPH-017/TMA/2025

Max. Marks: 100

Note: Attempt all questions. The marks for each question are indicated against it.

PART A

1. a) A human body contains 0.245kg of normal potassium (K) of which 0.015 percent is

the radioactive beta emitter potassium-40 Calculate the

rate of production of -particles in the body from the decay of potassium-40. What is the activity?

b) The mass defects forCalculate

the corresponding atomic mass.

c) Consider a square well potential

Obtain wavefunction of deuteron within the range of potential and outside.

d) Explain tensor potential which justifies the non – zero quadrupole moment of deuteron.

e) 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) On the basis of semi-empirical mass formula, explain as why there are two mass parabola for even-A nuclei and only one for A-odd nuclei.

b) A nucleus  has energy levels at 0.025, 0.082, 0.160, 0.326 and1.415MeV. Which of these energies are expected to be the energy of members

of the rotational band if the ground state of

c) i)Why do we need to cool the Co ⁶⁰ sample in Wu’s experiment?

ii) Prove that the law of conservation of angular momentum is not violated in

decay if the intrinsic spin of neutrino is 

Using the nuclear shell model, obtain the magnetic moment and electric

quadrupole moment of the ground state of   Sc nuclei.

Given :

3. a) Tritium emits electrons and magnesium emits positrons. Represent the

two decay processes by equations and calculate in each case the end-point energy of the particles emitted.

Given:

b) 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:

d) 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.

4. a) List the quantum numbers associated with leptons. State whether they are conserved in strong, weak and electromagnetic interactions. Hence explain whether the following reactions are allowed

: 

b) Show thats  a weak interaction decay whereas

electromagnetic decay.

c) 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?

d) What is charge conjugation? Derive the eigenvalues of the charge conjugation operator

e) List the quantum numbers for the antiquark  State the

quark content for and p.

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