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diff --git a/Oscillations_and_Waves_by_S._Prakash/chapter12.ipynb b/Oscillations_and_Waves_by_S._Prakash/chapter12.ipynb new file mode 100755 index 00000000..ba23123e --- /dev/null +++ b/Oscillations_and_Waves_by_S._Prakash/chapter12.ipynb @@ -0,0 +1,524 @@ +{ + "metadata": { + "name": "", + "signature": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 12, Doppler's Effect" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1, page 457" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from __future__ import division\n", + "# Speed\n", + "#given data :\n", + "vl=166 #m/s\n", + "v=(2*vl) #m/s\n", + "print \"Speed = %0.f m/s \" %v" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Speed = 332 m/s \n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2, page 458" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# frequency\n", + "#given data :\n", + "f1=90 #vibrations/second\n", + "f2=(1+(1/10))*f1 #vibrations/s\n", + "print \"Frequency = %0.f vibrations/s \"%f2" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Frequency = 99 vibrations/s \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3, page 458" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# frequency\n", + "#given data :\n", + "N=400 #hZ\n", + "V=340 #M/S\n", + "VS=60 #M/S\n", + "N2=((V/(V-VS))*N) #Hz\n", + "print \"Frequency when engine is approaching to the listner = %0.f Hz \" %round(N2)\n", + "N3=((V/(V+VS))*N) #Hz\n", + "print \"Frequency when engine is moving away from the listner = %0.f Hz \" %N3" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Frequency when engine is approaching to the listner = 486 Hz \n", + "Frequency when engine is moving away from the listner = 340 Hz \n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4, page 459" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#WAVELENGTH\n", + "x=1/5 #\n", + "h=60 #cm\n", + "h1=((1-x)*h) #cm\n", + "h2=((1+x)*h) #cm\n", + "print \"Wavelength of waves in north-direction = %0.f cm \" %h1\n", + "print \"Wavelength of waves in south-direction = %0.f cm\" %h2" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of waves in north-direction = 48 cm \n", + "Wavelength of waves in south-direction = 72 cm\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5, page 460" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#frequency\n", + "v=340 #m/s\n", + "n=600 #Hz\n", + "vs=36 #km h**-1\n", + "vs1=vs*(1000/3600) #m/s\n", + "apf=((v)/(v-vs1))*n #Hz\n", + "vs2=54 #km h**-1\n", + "vs3=vs2*(1000/3600) #m/s\n", + "apf1=((v)/(v+vs3))*n #Hz\n", + "print \"Two apparent frequencies are\",round(apf,1),\"Hz and\",round(apf1,2),\"Hz.\"\n", + "df=apf-apf1 #Hz\n", + "print \"Difference in frequencies = %0.2f Hz\" %df\n", + "#second apparent frequency and difference is calculated wrong in the textbook" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Two apparent frequencies are 618.2 Hz and 574.65 Hz.\n", + "Difference in frequencies = 43.53 Hz\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6, page 460" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#frequency\n", + "v=330 #m/s\n", + "n=500 #Hz\n", + "vs=30 #km h**-1\n", + "vs1=vs*(1000/3600) #m/s\n", + "n3=((v+vs1)/(v-vs1))*n #Hz\n", + "print \"Frequency when cars are approaching = %0.f Hz \" %round(n3)\n", + "n1=((v-vs1)/(v+vs1))*n #Hz\n", + "print \"Frequency when cars have crossed = %0.f Hz\" %round(n1)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Frequency when cars are approaching = 526 Hz \n", + "Frequency when cars have crossed = 475 Hz\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 7, page 461" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#frequency\n", + "v=330 #m/s\n", + "n=600 #Hz\n", + "vs=20 #m/s\n", + "apf=((v)/(v+vs))*n #Hz\n", + "print \"Frequency when source is moving away from the observer = %0.f Hz \" %round(apf)\n", + "apf1=((v)/(v-vs))*n #Hz\n", + "print \"Frequency when siren reaching at the cliff = %0.f Hz \" %round(apf1)\n", + "bf=apf1-apf #Hz\n", + "print \"Beat frequency = %0.f Hz \" %round(bf)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Frequency when source is moving away from the observer = 566 Hz \n", + "Frequency when siren reaching at the cliff = 639 Hz \n", + "Beat frequency = 73 Hz \n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8, page 461" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "#frequency\n", + "r=3 #m\n", + "w=10 #s**-1\n", + "vs=r*w #m/s\n", + "A=6 #m\n", + "fd=5/pi #s**-1\n", + "vmax=A*2*pi*fd #m/s\n", + "v=330 #m/s\n", + "n=340 #Hz\n", + "nmax=((v+vmax)/(v-vs))*n #Hz\n", + "nmin=((v-vmax)/(v+vs))*n #Hz\n", + "print \"Maximum frequency = %0.f Hz \" %nmax\n", + "print \"Minimum frequency = %0.f Hz \" %nmin" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Maximum frequency = 442 Hz \n", + "Minimum frequency = 255 Hz \n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9, page 462" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#speed\n", + "n12=3 #\n", + "n=340 #Hz\n", + "v=340 #m/s\n", + "vs=((n12*v)/(2*n)) #m/s\n", + "print \"Speed = %0.2f m/s \" %vs" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Speed = 1.50 m/s \n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10, page 463" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "#frequency\n", + "sa=1.5 #km\n", + "oa=1 #km\n", + "so=sqrt(oa**2+sa**2) #km\n", + "csd=sa/so #\n", + "v=0.33 #km/s\n", + "n=400 #Hz\n", + "vlov=120*(1000/3600) #m/s\n", + "vs1=(1/30)*csd #km/s\n", + "nd=((v)/(v-vs1))*n #vibrations/sec\n", + "print \"Apparent frequency = %0.f vibrations/second \" %round(nd)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Apparent frequency = 437 vibrations/second \n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 11, page 464" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#frequency\n", + "v=1200 #km/h\n", + "w=40 #km/h\n", + "vs=40 #km/h\n", + "n=580 #Hz\n", + "nd=((v+vs)/((v+vs)-vs))*n #Hz\n", + "print \"Frequency of the whistle as heared by an observer on the hill = %0.2f Hz \" %nd\n", + "x=29/30 #km\n", + "print \"Distance = %0.2f m \" %(x*1000)\n", + "ndd=((v-w)+vs)/((v-w))*nd #Hz\n", + "print \"Frequency heared by driver = %0.2f Hz \" %ndd\n", + "#distance is calculated wrong in the textbook" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Frequency of the whistle as heared by an observer on the hill = 599.33 Hz \n", + "Distance = 966.67 m \n", + "Frequency heared by driver = 620.00 Hz \n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12, page 469" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#doppler shift and velocity\n", + "h1=6010 #\u00c5\n", + "h2=6000 #\u00c5\n", + "ds=h1-h2 #\u00c5\n", + "print \"Doppler shift = %0.f \u00c5 \" %ds\n", + "c=3*10**8 #m/s\n", + "v=((ds/h2)*c) #m/s\n", + "print \"Speed = %0.e m/s \" %v" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Doppler shift = 10 \u00c5 \n", + "Speed = 5e+05 m/s \n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13, page 469" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#doppler shift and velocity\n", + "h1=3737 #\u00c5\n", + "h2=3700 #\u00c5\n", + "ds=h1-h2 #\u00c5\n", + "print \"Doppler shift = %0.f \u00c5 \" %ds\n", + "c=3*10**8 #m/s\n", + "v=((ds/h2)*c) #m/s\n", + "print \"Speed = %0.e m/s \" %v\n", + "#speed is calculated wrong in the textbook" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Doppler shift = 37 \u00c5 \n", + "Speed = 3e+06 m/s \n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14, page 469" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#speed\n", + "dv=10**3 #Hz\n", + "v=5*10**9 #Hz\n", + "c=3*10**8 #m/s\n", + "v=((dv)/(2*v))*c #m/s\n", + "print \"Velocity = %0.f m/s \" %v" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Velocity = 30 m/s \n" + ] + } + ], + "prompt_number": 19 + } + ], + "metadata": {} + } + ] +} |