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+{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 12 : Radiation"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.1 pageno : 445"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "t1 = 300;\t\t\t#temperature of the surroundings in K\n",
+ "t2 = 900;\t\t\t#temperature of the hot body p in K\n",
+ "t3 = 500;\t\t\t#temperature of the hot body q in K\n",
+ "a = 5.67*10**-8;\t\t\t#stefan boltzmann consmath.tant in W/m**2.K**4\n",
+ "\n",
+ "# Calculations\n",
+ "q1 = a*(t2**4-t1**4);\t\t\t#heat lost from hot body p in w/m**2\n",
+ "q2 = a*(t3**4-t1**4);\t\t\t#heat lost from hot body q in w/m**2\n",
+ "q = q1/q2;\t\t\t#ratio of heat lost from two subsmath.tances\n",
+ "\n",
+ "# Result\n",
+ "print 'ratio of heat lost from two substances is %3.1f/1'%(q)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "ratio of heat lost from two substances is 11.9/1\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.2 pageno : 445"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "t1 = 573;\t\t\t#temperature of the hot side in K\n",
+ "t2 = 273;\t\t\t#temperature of the coll side in K\n",
+ "m = 82;\t\t\t#mass of the black body in gm\n",
+ "cp = 0.1;\t\t\t#specific heat of the black body kj/kg.K\n",
+ "dt = 0.35;\t\t\t#ice melting at a rate of temperature in deg.C/sec\n",
+ "a = 8;\t\t\t#area of black body in sq.cm\n",
+ "\n",
+ "# Calculations\n",
+ "s = m*cp*dt/(a*(t1**4-t2**4));\t\t\t#boltzmann constant in cal/sq.cm/sec/deg**4\n",
+ "\n",
+ "# Result\n",
+ "print 'boltzmann consmath.tant is %.2e cal/sq.cm/sec/deg**4'%(s)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "boltzmann consmath.tant is 3.51e-12 cal/sq.cm/sec/deg**4\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.3 pageno : 445"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "r1 = 60.;\t\t\t#distance of first black body in cm\n",
+ "r2 = 30.;\t\t\t#distance of second black body in cm\n",
+ "t1 = 873.;\t\t\t#temperature of first black body in K\n",
+ "t2 = 573.;\t\t\t#temperature of the second black body in K\n",
+ "\n",
+ "# Calculations\n",
+ "i = (t2**4/t1**4)*(r1**2/r2**2);\t\t\t#ratio of intensity of radition\n",
+ "\n",
+ "# Result\n",
+ "print 'ratio of intensity of radition is %3.2f'%(i)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "ratio of intensity of radition is 0.74\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.4 pageno : 445"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "t1 = 1373;\t\t\t#temperature of the sphere in K\n",
+ "t2 = 283;\t\t\t#temperature of the black body in K\n",
+ "r = 4.17*10**5;\t\t\t#rate of heat radiate in ergs/sq.cm/sec\n",
+ "a = 4*3.14*(6**2);\t\t\t#surface area of the sphere in sq.cm\n",
+ "\n",
+ "\n",
+ "tr = r*a*(t1**4/t2**4)*(2.39005736*10**(-8));\t\t\t#total heat radiated in cal/sec\n",
+ "\n",
+ "# Result\n",
+ "print 'total heat radiated is %3.1f cal/sec'%(tr)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "total heat radiated is 2496.6 cal/sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.5 pageno : 446"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "h = 2*3.14*100;\t\t\t#heat received by the lens per min in cal\n",
+ "m = 25.;\t\t\t#mass of the ice in gm\n",
+ "l = 80;\t\t\t#latent heat of ice in cal/gm\n",
+ "\n",
+ "# Calculations\n",
+ "t = m*l/h;\t\t\t#time for which the sun rays falls in min\n",
+ "\n",
+ "# Result\n",
+ "print 'time for which the sun rays falls is %3.3f min'%(t)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "time for which the sun rays falls is 3.185 min\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.6 page no : 446"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "d = 0.35;\t\t\t#diameter of the mirror in m\n",
+ "t = 5;\t\t\t#time in min\n",
+ "T = 16;\t\t\t#temperature of water found to be in deg.C\n",
+ "m = 60;\t\t\t#mass of water in gm\n",
+ "mc = 30;\t\t\t#mass of calorimeter in gm\n",
+ "cp = 0.1;\t\t\t#specific heat of copper in cal/gm/deg.C\n",
+ "\n",
+ "# Calculations\n",
+ "q = (m+cp*mc)*T*4/(5*3.14*d**2);\t\t\t#amount of heat received by earth in cal\n",
+ "\n",
+ "# Result\n",
+ "print 'amount of heat received by earth is %3.f cal'%(q)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "amount of heat received by earth is 2096 cal\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.7 pageno : 446"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "r1 = 5.;\t\t\t#radius of first sphere in cm\n",
+ "r2 = 10.;\t\t\t#radius of second sphere in cm\n",
+ "t1 = 700.;\t\t\t#temperature of the first sphere in K\n",
+ "t2 = 500.;\t\t\t#temperature of the second sphere in K\n",
+ "t = 300.;\t\t\t#temperature of the enclousure in K\n",
+ "\n",
+ "# Calculations1\n",
+ "dc = (r2/r1)*(t1**4-t**4)/(t2**4-t**4);\t\t\t#ratio of c1/c2\n",
+ "r = r1**3*dc/r2**3;\t\t\t#rate of heat loss\n",
+ "\n",
+ "# Result\n",
+ "print 'rate of loss of heat is %3.3f'%(r)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "rate of loss of heat is 1.066\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.8 pageno : 447"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Variables\n",
+ "t1 = 600.;\t\t\t#temperature of the black body in K\n",
+ "t0 = 300.;\t\t\t#temperature of the surroundings in K\n",
+ "d = 6.;\t\t\t#deflections in galvanometer\n",
+ "d1 = 400.;\t\t\t#deflection in divisions\n",
+ "\n",
+ "# Calculations\n",
+ "dt = (d1/d)*(t1**4-t0**4);\t\t\t#change of temperature\n",
+ "t2 = (dt+t0**4)**(1./4);\t\t\t#end temperature in K\n",
+ "\n",
+ "# Result\n",
+ "print 'end temperature of the temperature is %3.2f K'%(t2)\n",
+ "print \"Note : answer in book in incorrect. Please calculate manually.\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "end temperature of the temperature is 1687.45 K\n",
+ "Note : answer in book in incorrect. Please calculate manually.\n"
+ ]
+ }
+ ],
+ "prompt_number": 19
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.9 pageno : 447"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variables\n",
+ "n = 17000;\t\t\t#luminosity of star compared to sun\n",
+ "t = 6000;\t\t\t#temperature of the sun in K\n",
+ "\n",
+ "# Calculations\n",
+ "t1 = (n*t**4)**(1./4);\t\t\t#temperature of the star in K\n",
+ "\n",
+ "# Result\n",
+ "print 'the temperature of the star is %3.f K'%(round(t1,-1))\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the temperature of the star is 68510 K\n"
+ ]
+ }
+ ],
+ "prompt_number": 21
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file