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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 12: Dopplers Effect"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.10: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 10//frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\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",
+"disp(round(nd),'apparent frequency is,(vibrations/second)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.11: frequency_and_distance.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 11//frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\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",
+"disp(nd,'frequency of the whistle as heared by an observer on the hill is ,(Hz)=')\n",
+"x=29/30;//km\n",
+"disp(x*1000,'distance is ,(m)=')\n",
+"ndd=((v-w)+vs)/((v-w))*nd;//Hz\n",
+"disp(ndd,'frequency heared by driver is,(Hz)=')\n",
+"//distance is calculated wrong in the textbook"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.12: Doppler_shift_and_velocity.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 12//doppler shift and velocity\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"h1=6010;//Å\n",
+"h2=6000;//Å\n",
+"ds=h1-h2;//Å\n",
+"disp(ds,'doppler shift is ,(Å)=')\n",
+"c=3*10^8;//m/s\n",
+"v=((ds/h2)*c);//m/s\n",
+"disp(v,'speed is ,(m/s)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.13: velocity.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 13//doppler shift and velocity\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"h1=3737;//Å\n",
+"h2=3700;//Å\n",
+"ds=h1-h2;//Å\n",
+"disp(ds,'doppler shift is ,(Å)=')\n",
+"c=3*10^8;//m/s\n",
+"v=((ds/h2)*c);//m/s\n",
+"disp(v,'speed is ,(m/s)=')\n",
+"//speed is calculated wrong in the textbook"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.14: speed.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 14//speed\n",
+"clc;\n",
+"clear;\n",
+"close;\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",
+"disp(v,'velocity is ,(m/s)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.1: speed.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 1// Speed\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"vl=166;//m/s\n",
+"v=(2*vl);//m/s\n",
+"disp(v,'speed is,(m/s)')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.2: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 2// frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"f1=90;//vibrations/second\n",
+"f2=(1+(1/10))*f1;//vibrations/s\n",
+"disp(f2,'frequency is,(vibrations/s)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.3: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 3// frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\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",
+"disp(round(N2),'frequency when engine is approaching to the listner is,(Hz)=')\n",
+"N3=((V/(V+VS))*N);//Hz\n",
+"disp(N3,'frequency when engine is moving away from the listner is,(Hz)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.4: wavelength.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 4//WAVELENGTH\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"x=1/5;//\n",
+"h=60;//cm\n",
+"h1=((1-x)*h);//cm\n",
+"h2=((1+x)*h);//cm\n",
+"disp(h1,'wavelength of waves in north-direction is,(cm)=')\n",
+"disp(h2,'wavelength of waves in south-direction is,(cm)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.5: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 5//frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\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",
+"disp('two apparent frequencies are '+string(apf)+' Hz and '+string(apf1)+' Hz')\n",
+"df=apf-apf1;//Hz\n",
+"disp(df,'difference in frequencies is ,(Hz)=')\n",
+"//second apparent frequency and difference is calculated wrong in the textbook"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.6: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 6//frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\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",
+"disp(round(n3),'frequency when cars are approaching is ,(Hz)=')\n",
+"n1=((v-vs1)/(v+vs1))*n;//Hz\n",
+"disp(round(n1),'frequency when cars have crossed is ,(Hz)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.7: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 7//frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"v=330;//m/s\n",
+"n=600;//Hz\n",
+"vs=20;//m/s\n",
+"apf=((v)/(v+vs))*n;//Hz\n",
+"disp(round(apf),'frequency when source is moving away from the observer is ,(Hz)=')\n",
+"apf1=((v)/(v-vs))*n;//Hz\n",
+"disp(round(apf1),'frequency when siren reaching at the cliff is ,(Hz)=')\n",
+"bf=apf1-apf;//Hz\n",
+"disp(round(bf),'beat frequency is ,(Hz)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.8: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 8//frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\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",
+"disp(nmax,'maximum frequency is,(Hz)=')\n",
+"disp(nmin,'minimum frequency is ,(Hz)=')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.9: speed.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 9//speed\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"n12=3;//\n",
+"n=340;//Hz\n",
+"v=340;//m/s\n",
+"vs=((n12*v)/(2*n));//m/s\n",
+"disp(vs,'speed is ,(m/s)=')"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
generated by cgit (git 2.34.1) at 2025-03-12 09:48:54 +0000