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| author | hardythe1 | 2015-04-07 15:58:05 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-04-07 15:58:05 +0530 |
| commit | 92cca121f959c6616e3da431c1e2d23c4fa5e886 (patch) | |
| tree | 205e68d0ce598ac5caca7de839a2934d746cce86 /Modern_Physics_By_G.Aruldas/Chapter1_1.ipynb | |
| parent | b14c13fcc6bb6d01c468805d612acb353ec168ac (diff) | |
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Diffstat (limited to 'Modern_Physics_By_G.Aruldas/Chapter1_1.ipynb')
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diff --git a/Modern_Physics_By_G.Aruldas/Chapter1_1.ipynb b/Modern_Physics_By_G.Aruldas/Chapter1_1.ipynb new file mode 100755 index 00000000..483d55f3 --- /dev/null +++ b/Modern_Physics_By_G.Aruldas/Chapter1_1.ipynb @@ -0,0 +1,311 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:467ef5c6562d2c93b60e422b9b9a8c5a34323da84f6c33e87f513c3c578db36d"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "1: The special theory of relativity"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.2, Page number 10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "c=1; #assume\n",
+ "udash=0.9*c; #speed of 2nd rocket\n",
+ "v=0.6*c; #speed of 1st rocket\n",
+ "\n",
+ "#Calculation\n",
+ "u1=(udash+v)/(1+(udash*v/(c**2))); #speed of 2nd rocket in same direction\n",
+ "u2=(-udash+v)/(1-(udash*v/(c**2))); #speed of 2nd rocket in opposite direction\n",
+ "\n",
+ "#Result\n",
+ "print \"speed of 2nd rocket in same direction is\",round(u1,3),\"*c\"\n",
+ "print \"speed of 2nd rocket in opposite direction is\",round(u2,3),\"*c\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "speed of 2nd rocket in same direction is 0.974 *c\n",
+ "speed of 2nd rocket in opposite direction is -0.652 *c\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.3, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "#given L0-L/L0=0.01.so L=0.99*L0\n",
+ "LbyL0=0.99;\n",
+ "c=1; #assume\n",
+ "\n",
+ "#Calculation\n",
+ "v2=(c**2)*(1-(LbyL0)**2);\n",
+ "v=math.sqrt(v2); #speed\n",
+ "\n",
+ "#Result\n",
+ "print \"speed is\",round(v,3),\"*c\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "speed is 0.141 *c\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.4, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "delta_tow=2.6*10**-8; #mean lifetime at rest(s)\n",
+ "d=20; #distance(m)\n",
+ "c=3*10**8; #speed of light(m/s)\n",
+ "\n",
+ "#Calculation\n",
+ "#delta_t=d/v\n",
+ "v2=(c**2)/(1+(delta_tow*c/d)**2);\n",
+ "v=math.sqrt(v2); #speed of unstable particle(m/s)\n",
+ "\n",
+ "#Result\n",
+ "print \"speed of unstable particle is\",round(v/10**8,1),\"*10**8 m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "speed of unstable particle is 2.8 *10**8 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.5, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "delta_t=5*10**-6; #mean lifetime(s)\n",
+ "c=1; #assume\n",
+ "v=0.9*c; #speed of beam\n",
+ "\n",
+ "#Calculation\n",
+ "delta_tow=delta_t*math.sqrt(1-(v/c)**2); #proper lifetime of particles(s)\n",
+ "\n",
+ "#Result\n",
+ "print \"proper lifetime of particles is\",round(delta_tow*10**6,2),\"*10**-6 s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "proper lifetime of particles is 2.18 *10**-6 s\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.6, Page number 15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "c=1; #assume\n",
+ "m0bym=100/120; #ratio of masses\n",
+ "\n",
+ "#Calculation\n",
+ "v=c*math.sqrt(1-(m0bym**2)); #speed of body\n",
+ "\n",
+ "#Result\n",
+ "print \"speed of body is\",round(v,3),\"*c\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "speed of body is 0.553 *c\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.7, Page number 17"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "c=3*10**8; #speed of light(m/s)\n",
+ "deltaE=4*10**26; #energy of sun(J/s)\n",
+ "\n",
+ "#Calculation\n",
+ "deltam=deltaE/c**2; #change in mass(kg)\n",
+ "\n",
+ "#Result\n",
+ "print \"change in mass is\",round(deltam/10**9,2),\"*10**9 kg\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "change in mass is 4.44 *10**9 kg\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.8, Page number 17"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "c=1; #assume\n",
+ "T=10; #kinetic energy(MeV)\n",
+ "m0c2=0.512; #rest energy of electron(MeV)\n",
+ "\n",
+ "#Calculation\n",
+ "E=T+m0c2; #total energy(MeV)\n",
+ "p=math.sqrt((E**2)-(m0c2**2))/c; #momentum of electron(MeV/c)\n",
+ "v=c*math.sqrt(1-(m0c2/E)**2); #velocity of electron(c)\n",
+ "\n",
+ "#Result\n",
+ "print \"momentum of electron is\",round(p,1),\"MeV/c\"\n",
+ "print \"velocity of electron is\",round(v,4),\"*c\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "momentum of electron is 10.5 MeV/c\n",
+ "velocity of electron is 0.9988 *c\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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