From c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 Mon Sep 17 00:00:00 2001 From: hardythe1 Date: Tue, 7 Apr 2015 15:58:05 +0530 Subject: added books --- Modern_Physics_By_G.Aruldas/Chapter1_3.ipynb | 311 +++++++++++++++++++++++++++ 1 file changed, 311 insertions(+) create mode 100755 Modern_Physics_By_G.Aruldas/Chapter1_3.ipynb (limited to 'Modern_Physics_By_G.Aruldas/Chapter1_3.ipynb') diff --git a/Modern_Physics_By_G.Aruldas/Chapter1_3.ipynb b/Modern_Physics_By_G.Aruldas/Chapter1_3.ipynb new file mode 100755 index 00000000..483d55f3 --- /dev/null +++ b/Modern_Physics_By_G.Aruldas/Chapter1_3.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": {} + } + ] +} \ No newline at end of file -- cgit