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-{
- "metadata": {
- "name": "Chapter16",
- "signature": "sha256:8da1ca227cbd2fcd5141a76f92c8c3cee05db901d462b1e82e4eb0345baf65a5"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 16:Cosmology: Origin and Fate of Universe"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 16.1 Page 529"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#initiation of variable\n",
- "from math import log\n",
- "N2=0.25;N1=0.75; #various given values\n",
- "L2=1.0;L1=0.0;\n",
- "E1_E2=-4.7*(10**-4); #Energy difference\n",
- "\n",
- "#calculation\n",
- "a=(N2/N1); b=(((2*L2)+1)/((2*L1)+1));c=E1_E2; #various terms involved in the formula of ratio of population\n",
- "kT=(c/log(a/b)); #value of k*T\n",
- "k=0.0000856; #constant\n",
- "T=kT/k; #temperature of interstellar space\n",
- "\n",
- "#result\n",
- "print \"The temperature of interstellar space was found out to be in K\",round(T,3);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The temperature of interstellar space was found out to be in K 2.499\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 16.2 Page 536"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#initiation of variable\n",
- "mc2=940.0*10**6; k=8.6*10**-5; #various constants and given values in suitable units\n",
- "\n",
- "#calculation\n",
- "T= mc2/k; #temperature of the photons\n",
- "\n",
- "#result\n",
- "print \"The temperature of the photons must be in K %.1e\" %round(T,3);\n",
- "\n",
- "#part2\n",
- "t=((1.5*10**10)/T)**2; #age of universe when the photons have the above temperature\n",
- "\n",
- "#result\n",
- "print\"The age of the universe for the temperature of the photon to be as obtained above in seconds is %.0e\" %t;"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The temperature of the photons must be in K 1.1e+13\n",
- "The age of the universe for the temperature of the photon to be as obtained above in seconds is 2e-06\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 16.3 Page 539"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#initiation of variable\n",
- "from math import exp\n",
- "k=8.62*10**-5; #various values and constants\n",
- "T= 1.5*10**10;\n",
- "delE=1.3*10**6;\n",
- "\n",
- "#calculation\n",
- "a= delE/(k*T); #exponent in boltzmann factor\n",
- "b=exp(-a); #ratio of neutron to protons\n",
- "r=(1/(1+b))*100; #relative number of protons\n",
- "\n",
- "#result\n",
- "print\"The percentage of protons is\",round(r),\" neutrons is \",round(100-r);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The percentage of protons is 73.0 neutrons is 27.0\n"
- ]
- }
- ],
- "prompt_number": 6
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file