1000 Solved Problems in Modern Physics

424 7 Nuclear Physics – I Dividing (3) by (2) N 2 /N 1 =[1−exp(−λt 2 )]/[1−exp(−λt 1 )] N 2 /N 1 = 2. 66 =[1−exp(− 6 λ)]/[1−exp( ...

7.3 Solutions 425 7.111 i. Momentum=300 Br=(300)(0.1)(0.061)= 1 .83 MeV/c Use the relativistic equation to find total energy,E=( ...

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Chapter 8 Nuclear Physics – II 8.1 Basic Concepts and Formulae ................................ Nuclear models Fermi gas model T ...

428 8 Nuclear Physics – II The shell model energy levels are: [ 1 s^12 ][ 1 p 32 , 1 p (^12) ][ 1 d 52 , 2 s 12 , 1 d (^32) ][ 1 ...

8.1 Basic Concepts and Formulae 429 Charge symmetryof nuclear forces: p−p=n−n force Charge Independenceof nuclear forces: p−p=p− ...

430 8 Nuclear Physics – II Electric quadrupole moment For nuclei withJ =0or^12 , electric dipole moment is zero. For spherical n ...

8.1 Basic Concepts and Formulae 431 Table 8.2Comparison of compound nucleus reactions and direct reactions Compound nuclear Feat ...

432 8 Nuclear Physics – II Fig. 8.4Resonance and potential sacttering and absorption cross-sections as a function of neutron ene ...

8.1 Basic Concepts and Formulae 433 Breakup reactions Knock-out reactions Pre-equilibrium reactions Fig. 8.5Energy spectrum of ...

434 8 Nuclear Physics – II IfEcmis the center of mass energy of the two interacting ions then the minimum distance of approach i ...

8.2 Problems 435 8.2.2 ElectricPotentialandEnergy ........................ 8.7 Derive an expression for the electrostatic energy ...

436 8 Nuclear Physics – II 8.2.5 Nuclear Stability................................... 8.17 In general only the heavier nuclei te ...

8.2 Problems 437 8.2.6 Fermi Gas Model ................................ 8.24 In the Fermi gas model the internal energy is given ...

438 8 Nuclear Physics – II 8.2.8 Liquid Drop Model ................................ 8.33 Deduce that withac= 0 .72 MeV andas=23 ...

8.2 Problems 439 8.40 The following plot (Fig. 8.7) shows the average binding energy per nucleon for stable nuclei as a function ...

440 8 Nuclear Physics – II 8.44 For neutrons with kinetic energy 100 MeV incident on nuclei with mass num- berA=120, the real an ...

8.2 Problems 441 8.51 Consider the reaction^27 Al(p,n)^27 Si. The positrons from the decay of^27 Si are observed and their spect ...

442 8 Nuclear Physics – II 8.59 The Q- value of the reaction^16 O(d,n)^17 Fis− 1 .631 MeV, while that of the reaction^16 O(d,p)^ ...

8.2 Problems 443 8.67 Natural Cobalt is irradiated in a reactor with a thermal neutron flux density of 3 × 1012 ncm−^2 s−^1. How ...