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author | hardythe1 | 2015-04-07 15:58:05 +0530 |
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committer | hardythe1 | 2015-04-07 15:58:05 +0530 |
commit | c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 (patch) | |
tree | 725a7d43dc1687edf95bc36d39bebc3000f1de8f /Modern_Physics_By_G.Aruldas/Chapter17_3.ipynb | |
parent | 62aa228e2519ac7b7f1aef53001f2f2e988a6eb1 (diff) | |
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diff --git a/Modern_Physics_By_G.Aruldas/Chapter17_3.ipynb b/Modern_Physics_By_G.Aruldas/Chapter17_3.ipynb new file mode 100755 index 00000000..61dae782 --- /dev/null +++ b/Modern_Physics_By_G.Aruldas/Chapter17_3.ipynb @@ -0,0 +1,293 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:d405bf204e77196ade310e0be88ebb97609af7dc21d3bd3e418e5c80ec00e4d3"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "17: Nuclear properties"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.1, Page number 324"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "m=1.67*10**-27; #nucleon mass(kg)\n",
+ "R0=1.2*10**-15; #radius of nucleus(m)\n",
+ "\n",
+ "#Calculation\n",
+ "d=m*3/(4*math.pi*R0**3); #density of nucleus(kg/m**3)\n",
+ "\n",
+ "#Result\n",
+ "print \"density of nucleus is\",round(d/10**17,1),\"*10**17 kg/m**3\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "density of nucleus is 2.3 *10**17 kg/m**3\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.2, Page number 324"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=1.2*10**-15;\n",
+ "k=9*10**9; #value of N(Nm**2/C**2)\n",
+ "q1=2;\n",
+ "q2=90;\n",
+ "e=1.6*10**-19; #conversion factor from J to eV\n",
+ "\n",
+ "#Calculation\n",
+ "r=a*((4**(1/3))+(228**(1/3))); #distance(m)\n",
+ "E=k*q1*q2*e**2/r; #kinetic energy(J)\n",
+ "E=E/(e*10**6); #kinetic energy(MeV)\n",
+ "\n",
+ "#Result\n",
+ "print \"potential energy is 0. kinetic energy is\",round(E,1),\"MeV\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "potential energy is 0. kinetic energy is 28.1 MeV\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.3, Page number 326"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "E=2.48*10**4; #electric field(V/m)\n",
+ "m=1.6605*10**-27; #nucleon mass(kg)\n",
+ "e=1.6*10**-19; #conversion factor from J to eV\n",
+ "B=0.75; #magnetic field(T)\n",
+ "\n",
+ "#Calculation\n",
+ "r1=E*12*m/(e*B**2); #distance on photographic plate for 12C(m)\n",
+ "r1=r1*10**3; #distance on photographic plate for 12C(mm)\n",
+ "r2=E*13*m/(e*B**2); #distance on photographic plate for 13C(m)\n",
+ "r2=r2*10**3; #distance on photographic plate for 13C(mm)\n",
+ "r3=E*14*m/(e*B**2); #distance on photographic plate for 14C(m)\n",
+ "r3=r3*10**3; #distance on photographic plate for 14C(mm)\n",
+ "r4=(2*r2)-(2*r1); #distance between lines of 13C and 12C(mm)\n",
+ "r5=(2*r3)-(2*r2); #distance between lines of 14C and 13C(mm)\n",
+ "r=r4/2; #distance if ions are doubly charged(mm)\n",
+ "\n",
+ "#Result\n",
+ "print \"distance on photographic plate for 12C is\",round(r1,2),\"mm\"\n",
+ "print \"distance on photographic plate for 13C is\",round(r2,2),\"mm\"\n",
+ "print \"distance on photographic plate for 14C is\",round(r3,2),\"mm\"\n",
+ "print \"distance if ions are doubly charged is\",round(r,2),\"mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "distance on photographic plate for 12C is 5.49 mm\n",
+ "distance on photographic plate for 13C is 5.95 mm\n",
+ "distance on photographic plate for 14C is 6.41 mm\n",
+ "distance if ions are doubly charged is 0.46 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.4, Page number 327"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=6; #number of neutrons\n",
+ "p=6; #number of protons\n",
+ "M=12; #mass of 12C6(u)\n",
+ "E=931.5; #energy(MeV)\n",
+ "\n",
+ "#Calculation\n",
+ "mn=n*1.008665; #mass of neutrons(u)\n",
+ "mp=p*1.007825; #mass of hydrogen atoms(u)\n",
+ "m=mp+mn; #total mass(u)\n",
+ "md=m-M; #mass deficiency(u)\n",
+ "BE=md*E; #binding energy(MeV)\n",
+ "be=BE/12; #average binding energy per nucleon(MeV)\n",
+ "\n",
+ "#Result\n",
+ "print \"binding energy is\",round(BE,2),\"MeV\"\n",
+ "print \"average binding energy per nucleon is\",round(be,2),\"MeV\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "binding energy is 92.16 MeV\n",
+ "average binding energy per nucleon is 7.68 MeV\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.6, Page number 335"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "M22Na=21.9944; #mass of 22Na(u)\n",
+ "m=1.008665; #mass of last neutron(u)\n",
+ "M23Na=22.989767; #mass of 23Na(u)\n",
+ "E=931.5; #energy(MeV)\n",
+ "\n",
+ "#Calculation\n",
+ "M=M22Na+m; \n",
+ "md=M-M23Na; #mass deficiency(u)\n",
+ "BE=md*E; #binding energy(MeV)\n",
+ "\n",
+ "#Result\n",
+ "print \"binding energy is\",round(BE,1),\"MeV\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "binding energy is 12.4 MeV\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.7, Page number 341"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "hbar=1.05*10**-34; \n",
+ "c=3*10**8; #speed of light(m/s)\n",
+ "mpi=140; #mass of pi-meson(MeV/c**2)\n",
+ "e=1.6*10**-13;\n",
+ "\n",
+ "#Calculation\n",
+ "r=hbar*c/(mpi*e); #range of nuclear force(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"range of nuclear force is\",round(r*10**15,1),\"fm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "range of nuclear force is 1.4 fm\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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