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Diffstat (limited to 'Modern_Physics/chapter2_1.ipynb')
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diff --git a/Modern_Physics/chapter2_1.ipynb b/Modern_Physics/chapter2_1.ipynb new file mode 100755 index 00000000..c02388c1 --- /dev/null +++ b/Modern_Physics/chapter2_1.ipynb @@ -0,0 +1,215 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:8d579c32fbc82bfc0d050265719851f3d1a9f6f9fcc17df43ae5b1c38cc41c26"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "2: The Electron"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.1, Page number 18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#import modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "E=2400; #electric field intensity(V/m)\n",
+ "V=90; #potential difference(V)\n",
+ "e=1.6*10**-19; #the charge on electron(C)\n",
+ "m=9.12*10**-31; #mass of electron(kg)\n",
+ "\n",
+ "#Calculation\n",
+ "F=e*E; #force on electron(N)\n",
+ "a=F/m; #acceleration(m/s^2) \n",
+ "KE=e*V; #Kinetic Energy of particle(J) \n",
+ "v=math.sqrt(2*KE/m); #velocity of the electron(m/s)\n",
+ "v=v*10**-6;\n",
+ "v=math.ceil(v*10**2)/10**2; #rounding off to 2 decimals\n",
+ "\n",
+ "#Result\n",
+ "print \"The force on electron is\",F,\"N\"\n",
+ "print \"Its acceleration is\",round(a/1e+14,2),\"*10**14 m/s^2\"\n",
+ "print \"The Kinetic Energy of particle is\",KE,\"J\"\n",
+ "print \"The velocity of the electron\",v,\"*10**6 m/s\"\n",
+ "print \"answers for acceleration and velocity given in the book varies due to rounding off errors\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The force on electron is 3.84e-16 N\n",
+ "Its acceleration is 4.21 *10**14 m/s^2\n",
+ "The Kinetic Energy of particle is 1.44e-17 J\n",
+ "The velocity of the electron 5.62 *10**6 m/s\n",
+ "answers for acceleration and velocity given in the book varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.2, Page number 18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#import modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=900; #potential difference(V)\n",
+ "B=0.01; #uniform magnetic field(Wb/m^2)\n",
+ "em=1.76*10**11; #value of e/m(C/kg)\n",
+ "\n",
+ "#calculation\n",
+ "v=math.sqrt(2*em*V); #linear velocity of electron(m/s)\n",
+ "R=v/(em*B); #radius of the circular path(m) \n",
+ "R=math.ceil(R*10**3)/10**3; #rounding off to 3 decimals\n",
+ "v=v*10**-7;\n",
+ "v=math.ceil(v*10**2)/10**2; #rounding off to 2 decimals\n",
+ "\n",
+ "#Result\n",
+ "print \"The linear velocity of electron is\",v,\"*10**7 m/s\"\n",
+ "print \"The radius of the circular path is\",R,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The linear velocity of electron is 1.78 *10**7 m/s\n",
+ "The radius of the circular path is 0.011 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.3, Page number 18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#import modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=6*10**-3; #distance between plates(m)\n",
+ "V=900; #potential difference(V)\n",
+ "B=0.5; #uniform magnetic field(Wb/m^2)\n",
+ "Q=1.6*10**-19; #the charge on electron(C)\n",
+ "R=10.6*10**-2; #circular track radius(m)\n",
+ "\n",
+ "#calculation\n",
+ "v=V/(B*d); #velocity(m/s)\n",
+ "m=R*Q*B/v; #mass of particle(kg)\n",
+ "\n",
+ "#Result\n",
+ "print \"The mass of particle\",round(m/1e-26,3),\"*10**-26 kg\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The mass of particle 2.827 *10**-26 kg\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.4, Page number 19"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#import modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=6920; #potential difference(V)\n",
+ "d=1.3*10**-2; #distance between(m)\n",
+ "v=1.9*10**-4; #velocity(m/s)\n",
+ "p=0.9*10**3; #density of oil(kg/m^3)\n",
+ "n=1.81*10**-5; #coefficient of viscosity(N-s/m^2)\n",
+ "g=9.81; #accelaration due to gravity(m/s^2)\n",
+ "\n",
+ "#calculation\n",
+ "a=math.sqrt((9*n*v)/(2*g*p)); #radius of the drop(m) \n",
+ "E=V/d; #electric field(V/m)\n",
+ "Q=4*math.pi*(a**3)*p*g/(3*E); #value of charge on oil drop(C)\n",
+ "\n",
+ "#Result\n",
+ "print \"The radius of the drop is\",round(a/1e-6,2),\"micro m\"\n",
+ "print \"The value of charge on oil drop is\",round(Q/1e-19,3),\"*10^-19 C\"\n",
+ "print \"answers given in the book are wrong\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The radius of the drop is 1.32 micro m\n",
+ "The value of charge on oil drop is 1.612 *10^-19 C\n",
+ "answers given in the book are wrong\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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