From 64d949698432e05f2a372d9edc859c5b9df1f438 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- .../chapter4.ipynb | 329 +++++++++++++++++++++ 1 file changed, 329 insertions(+) create mode 100755 backup/Quantum_mechanics_by_M.C.Jain_version_backup/chapter4.ipynb (limited to 'backup/Quantum_mechanics_by_M.C.Jain_version_backup/chapter4.ipynb') diff --git a/backup/Quantum_mechanics_by_M.C.Jain_version_backup/chapter4.ipynb b/backup/Quantum_mechanics_by_M.C.Jain_version_backup/chapter4.ipynb new file mode 100755 index 00000000..214047e7 --- /dev/null +++ b/backup/Quantum_mechanics_by_M.C.Jain_version_backup/chapter4.ipynb @@ -0,0 +1,329 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:b24ac6268abeb9e8ceafeb2b8fcac357229b810faa15684921ddb633803d3d99" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 4 Wave nature of matter and the need for a wave function" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.1 Page no 58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given \n", + "V=100 #volts\n", + "\n", + "#Calculation \n", + "import math\n", + "wavelength=12.3/(math.sqrt(V))\n", + "\n", + "#Result\n", + "print\"de Broglie wavelength of electrons \", wavelength,\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "de Broglie wavelength of electrons 1.23 A\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.2 Page no 58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "K=100 #ev\n", + "h=6.63*10**-34\n", + "m=9.1*10**-31\n", + "e=1.6*10**-19\n", + "\n", + "#Calculation\n", + "import math\n", + "v=h/(math.sqrt(2*m*K*e))\n", + "\n", + "#Result\n", + "print\"de broglie wavelength of electrons \",round(v*10**10,1),\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "de broglie wavelength of electrons 1.2 A\n" + ] + } + ], + "prompt_number": 109 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.3 Page no 58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "m=1.675*10**-27 #mass of neutron in kg\n", + "v=1.4*10**-10 #de broglie wavelength in m\n", + "h=6.63*10**-34 #Js\n", + "\n", + "#Calculation \n", + "K=(h**2/(2*m*(v**2)))/(1.6*10**-19)\n", + "\n", + "#Result\n", + "print\"Kinetic energy of neutron is \", round(K*10**2,2),\"*10**-2 ev\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Kinetic energy of neutron is 4.18 *10**-2 ev\n" + ] + } + ], + "prompt_number": 113 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4 Page no 58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "E=-3.4 #total energy in ev\n", + "h=6.63*10**-34 #Js\n", + "m=9.1*10**-31\n", + "e=1.6*10**-19 \n", + "\n", + "#Calculation\n", + "import math\n", + "K=-E\n", + "v=h/(math.sqrt(2*m*K*e))\n", + "\n", + "#Result \n", + "print\"(a) Kinetic energy \",K,\"ev\"\n", + "print\"(b) de broglie wavelength of the electron is \",round(v*10**10,3),\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) Kinetic energy 3.4 ev\n", + "(b) de broglie wavelength of the electron is 6.663 A\n" + ] + } + ], + "prompt_number": 64 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.5 Page no 59" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "m=1.672*10**-27 #mass of neutron in kg\n", + "h=6.60*10**-34 #Js\n", + "v=1.0*10**-10 #de broglie wavelength in m\n", + "\n", + "#Calculation\n", + "K=(h**2/(2.0*m*v**2))/(1.6*10**-19)\n", + "\n", + "#Result\n", + "print\"Kinetic energy of a neutron is \", round(K*10**2,2),\"*10**-2 ev\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Kinetic energy of a neutron is 8.14 *10**-2 ev\n" + ] + } + ], + "prompt_number": 116 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.6 Page no 59" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "m=10*10**-3 #mass of a ball in kg \n", + "v=1 #Speed in m/s\n", + "h=6.63*10**-34 #Js\n", + "\n", + "#Calculation\n", + "V=h/(m*v) #Wavelength\n", + "\n", + "#Result\n", + "print \"de broglie wavelength is \",V,\"m\"\n", + "print\"This wavelength is negligible compared to the dimensions of the ball. therefore its effect can not be observed.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "de broglie wavelength is 6.63e-32 m\n", + "This wavelength is negligible compared to the dimensions of the ball. therefore its effect can not be observed.\n" + ] + } + ], + "prompt_number": 87 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.7 Page no 59" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "T=27 #temperature in degree c\n", + "K=1.38*10**-23 #boltzmann constant in J/K\n", + "h=6.63*10**-34 #Js\n", + "m=1.67*10**-27\n", + "\n", + "#Calculation\n", + "import math\n", + "T1=T+273\n", + "v=h/(math.sqrt(2*m*K*T1))\n", + "\n", + "#Result\n", + "print\"de broglie wavelength is \",round(v*10**10,2),\"A\"\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "de broglie wavelength is 1.78 A\n" + ] + } + ], + "prompt_number": 94 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.10 Page no 64" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "V=100 #ev\n", + "a=10 #degree\n", + "n=1\n", + "\n", + "#Calculation\n", + "import math\n", + "v=12.3/(math.sqrt(V)) #De broglie wavelength\n", + "d=v/(2*math.sin(a*3.14/180.0))\n", + "n=(2*d)/v\n", + "\n", + "#Result\n", + "print\"(a) Spacing between the crystal plane is \", round(d,2),\"A\"\n", + "print\"(b) Peaks in the interference pattern is \",round(n,2)\n", + "print\"the largest possible value of n is 5\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a) Spacing between the crystal plane is 3.54 A\n", + "(b) Peaks in the interference pattern is 5.76\n", + "the largest possible value of n is 5\n" + ] + } + ], + "prompt_number": 117 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit