gistfile1.txt

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  "name": "PS2"
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  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "using SIUnits\nconst \u221a = sqrt;",
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": "Problem 8.6"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "# Constants\n\u0127 = 1.05457 * 10.0^(-34) * (Joule*Second)\ng = 9.80 * Meter/Second^2\nh = 1Meter\nm = 0.1KiloGram;",
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "n = m*\u221a(g*h^3)/(3\u03c0*\u0127)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": "\\[3.1496804725592672\\times 10^{32}\\]",
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 1,
       "text": "3.1496804725592672e32"
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": "Problem 8.16"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "# Given quantities\nV_0 = 20 * convert(SIUnits.SIQuantity,ElectronVolt)\na = 10.0^-10 * Meter\nE_ext = 7 * 10.0^6 * Volt/Meter\ne = 1.60218 * 10.0^-19 * Coulomb\nm = 9.10938 * 10.0^-31 * KiloGram;",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "\u03b1 = e*E_ext\n\u03b3 = big(\u221a(8m*V_0^3)/(3\u03b1*\u0127))\n(8m*a^2)/(\u03c0*\u0127)*exp(2\u03b3)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": "\\[2.333792755615162060539210272222841595435920831604973758675418728172482085612561\\times 10^{37891}\\;\\text{s} \\]",
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 2,
       "text": "2.333792755615162060539210272222841595435920831604973758675418728172482085612561e+37890 with 256 bits of precision s "
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    }
   ],
   "metadata": {}
  }
 ]
}