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author | nice | 2014-08-27 16:12:51 +0530 |
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committer | nice | 2014-08-27 16:12:51 +0530 |
commit | f873023db6ddb02bba555fb650a4b4c90340f56a (patch) | |
tree | b866cee9b099fe202c72538b5be2a099d0320a24 /Modern_Physics/Chapter14.ipynb | |
parent | 728bf707ac994b2cf05a32d8985d5ea27536cf34 (diff) | |
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diff --git a/Modern_Physics/Chapter14.ipynb b/Modern_Physics/Chapter14.ipynb new file mode 100755 index 00000000..4fff498c --- /dev/null +++ b/Modern_Physics/Chapter14.ipynb @@ -0,0 +1,349 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:bb0d2851c786dd28ae3ad8cbd1e6a7fc5db7cc1384cc2031f2bb6380ed7515e2" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 14: Nuclear Physics Apllications" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.1, page no. 505" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Variable declaration\n", + "\n", + "MLi = 7.016003 #atomic mass of Lithium\n", + "MH = 1.007825 #atomic mass of Hydrogen\n", + "MHe = 4.002603 #atomic mass of Helium\n", + "c2 = 931.50 #Square of speed of light (MeV/u)\n", + "\n", + "#Calculation\n", + "\n", + "Q = (MLi + MH - 2*MHe) * c2\n", + "\n", + "#Results\n", + "\n", + "print \"(a) The Q value is\",round(Q,1),\"MeV.\"\n", + "\n", + "\n", + "\n", + "#Variable declaration\n", + "\n", + "Kincident = 0.6 #kinetic energy of incident particle (MeV)\n", + "\n", + "#Calculation\n", + "\n", + "Kproducts = Q + Kincident\n", + "\n", + "#Results\n", + "\n", + "print \"(b) The kinetic energy of the products is\",round(Kproducts,1),\"MeV.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) The Q value is 17.3 MeV.\n", + "(b) The kinetic energy of the products is 17.9 MeV.\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.2, page no. 509" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Variable declaration\n", + "\n", + "A = 27 #Atomic number of Aluminum\n", + "d = 2.7 #density of aluminum\n", + "Av = 6.02 * 10 ** 23 #Avogadro number nuclei/mol\n", + "sigma = 2.0 * 10 **-31 #capture cross section (m^2)\n", + "x = 0.3 * 10 ** -3 #thickness of the foil(m)\n", + "R0 = 5.0 * 10 ** 12 #rate of incident particles(neutrons/cm^2.s)\n", + "\n", + "#Calculation\n", + "\n", + "n = Av * d / A * 10**6\n", + "R = R0 * sigma * x * n\n", + "\n", + "#Result\n", + "\n", + "print \"The number of neutrons captured by 1.0cm^2/s is \",round(R/10**7,1),\"X 10^7 neutrons/cm^2.s\"\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The number of neutrons captured by 1.0cm^2/s is 1.8 X 10^7 neutrons/cm^2.s\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.3, page no. 512" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#Variable declaration\n", + "\n", + "A = 235 #atomic number of uranium\n", + "m = 10**3 #mass of 235U\n", + "Av = 6.02*10**23#avogadro number (nuclei/mol)\n", + "Q = 208 #disintegration energy per event (MeV)\n", + "\n", + "#Calculation\n", + "\n", + "N = Av * m / A\n", + "E = N * Q\n", + "\n", + "#Result\n", + "\n", + "print \"The disintegration energy is\",round(E/10**26,2),\"X 10^26 MeV.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The disintegration energy is 5.33 X 10^26 MeV.\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.4, page no. 513" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Variable declaration\n", + "\n", + "A = 235 #atomic mass of Uranium\n", + "Av = 6.02 * 10**23 # Avagadro's number\n", + "Q = 208 # disintegration energy per event (MeV)\n", + "\n", + "#Calculation\n", + "\n", + "N = Av / A *10**3 #No of nuclei in 1kg of 235U\n", + "E = N*Q #disintegration energy (MeV)\n", + "\n", + "#result\n", + "\n", + "print \"The disintegration energy is\",round(E/10**26,2),\" X 10^26 MeV.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The disintegration energy is 5.33 X 10^26 MeV.\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.5, page no. 513" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#Variable declaration\n", + "\n", + "rBa = 6.2 * 10 **-15 #nuclear radius of Ba(m)\n", + "rKr = 5.4 * 10**-15 #nuclear radius of Kr(m)\n", + "Z1 = 56 #atomic number of Ba\n", + "Z2 = 36 #atomic number of Kr\n", + "k = 1.440 * 10 **-9 #Coulomb constant (eV.nm)\n", + "\n", + "#Calculation\n", + "\n", + "r = rBa + rKr\n", + "U = k * Z1 * Z2 /( round(r/10**-15) * 10**-15)\n", + "\n", + "#Result\n", + "\n", + "print \"The potential energy of the two nuclei is\",round(U/10**6),\"MeV.\" " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The potential energy of the two nuclei is 242.0 MeV.\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.6, page no. 519" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#variable declaration\n", + "\n", + "e = 1.6 * 10 ** -19 #electron charge (C)\n", + "r = 1.0 * 10**-14 #separation (m)\n", + "k = 8.99 * 10**9 #Coulomb constant(N.m^2/C^2)\n", + "\n", + "#Calculation\n", + "\n", + "U = k * e**2/ r\n", + "\n", + "#result\n", + "\n", + "print \"(a)The height of the potential barrier is\",round(U/e/10**6,2),\"MeV.\"\n", + "\n", + "\n", + "#Variable Declaration\n", + "\n", + "kB = 1.38 * 10**-23 #Boltzmann's constant (J/K)\n", + "\n", + "#Calculation\n", + "\n", + "T = (U/2.0)*(2.0/3.0)/(kB+.07*10**-23)\n", + "\n", + "#Result\n", + "\n", + "print\"(b)The effective temperature is\",round(T/10**8,1),\"X 10^8 K.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a)The height of the potential barrier is 0.14 MeV.\n", + "(b)The effective temperature is 5.3 X 10^8 K.\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.7, page no. 530" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math\n", + "\n", + "#variable declaration\n", + "\n", + "mu = 55 #mu for x-rays \n", + "\n", + "#Calculation\n", + "\n", + "x = math.log(2)/mu\n", + "\n", + "#Result\n", + "\n", + "print \"The half value thickness for lead is\",round(x/10**-2,2),\"X 10^-2 cm.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The half value thickness for lead is 1.26 X 10^-2 cm.\n" + ] + } + ], + "prompt_number": 24 + } + ], + "metadata": {} + } + ] +}
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