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diff --git a/Engineering_Physics_By_G_Vijayakumari/Chapter4.ipynb b/Engineering_Physics_By_G_Vijayakumari/Chapter4.ipynb new file mode 100755 index 00000000..49292516 --- /dev/null +++ b/Engineering_Physics_By_G_Vijayakumari/Chapter4.ipynb @@ -0,0 +1,499 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#4: Wave Optics"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.1, Page number 92"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The wavelength of light used is 640 nm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=125; #number of fingers cross the field of view\n",
+ "d=0.04*10**-3; #distance of one of mirror moved(m)\n",
+ "\n",
+ "#Calculation\n",
+ "w=2*d/n; #wavelength of light used(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The wavelength of light used is\",int(w*10**9),\"nm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.2, Page number 92"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The wavelength of light used is 600.0 nm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Ri=1.5; #refractive index of thin film of glass\n",
+ "n=30; #number of fringes of sodium light is observed across the field of view\n",
+ "t=0.018*10**-3; #thickness of glass film(m)\n",
+ "\n",
+ "#Calculation\n",
+ "w=2*(Ri-1)*t/n; #wavelength of the light used(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The wavelength of light used is\",w*10**9,\"nm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.3, Page number 92"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The wavelength of the monochromatic source used is 589.0 nm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=200; #number of fringes cross the field of view\n",
+ "d=0.0589*10**-3; #distance of mirror displaced(m)\n",
+ "\n",
+ "#Calculation\n",
+ "w=2*d/n; #wavelength of the monochromatic source used(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The wavelength of the monochromatic source used is\",w*10**9,\"nm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.4, Page number 92"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The thickness of the film is 1.9636 *10**-4 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "x=1.55; #refractive index of transparent film of glass \n",
+ "w=480*10**-9; #wavelength of light(m)\n",
+ "n=450; #number of fringes to sweep across the field\n",
+ "\n",
+ "#Calculation\n",
+ "t=n*w/(2*(x-1)); #thickness of the film(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The thickness of the film is\",round(t*10**4,4),\"*10**-4 m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.5, Page number 93"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The refractive index of material is 1.675\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "t=0.004*10**-2; #thickness of transparent sheet(m)\n",
+ "d=0.0027*10**-2; #distance of mirror displaced(m)\n",
+ "\n",
+ "#Calculation\n",
+ "X=(d/t)+1; #refractive index of the material\n",
+ "\n",
+ "#Result\n",
+ "print \"The refractive index of material is\",X"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.6, Page number 93"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The number of fringes shifted across the cross wire of eye piece of the telescope is 110\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=0.03205*10**-3; #distance of movable mirror displaced(m)\n",
+ "w=580.9*10**-9; #wavelength of light(m)\n",
+ "\n",
+ "#Calculation\n",
+ "n=2*d/w; #number of fringes shifted across the cross wire of eye piece of the telescope\n",
+ "\n",
+ "#Result\n",
+ "print \"The number of fringes shifted across the cross wire of eye piece of the telescope is\",int(n)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.7, Page number 101"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The thickness of a quarter wave plate of quartz for sodium light is 7.36625 micro m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "w=5893*10**-10; #wavelength of sodium light(m)\n",
+ "Re=1.5532; #Refractive index of quartz for e ray\n",
+ "Ro=1.5332; #Refractive index of quartz for o ray\n",
+ "\n",
+ "#Calculation\n",
+ "t=w/(4*(Re-Ro)); #thickness of a quarter wave plate of quartz for sodium light(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The thickness of a quarter wave plate of quartz for sodium light is\",t*10**6,\"micro m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.8, Page number 102"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The thickness of a double refracting crystal required at w/2 is 2.727 micro m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "w=6000*10**-10; #wavelength(m)\n",
+ "Re=1.54; #Refractive index of double refracting crystal for e ray\n",
+ "Ro=1.65; #Refractive index of double refracting crystal for o ray\n",
+ "\n",
+ "#Calculation\n",
+ "t=w/(2*(Ro-Re)); #thickness of a double refracting crystal required at w/2(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The thickness of a double refracting crystal required at w/2 is\",round(t*10**6,3),\"micro m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.9, Page number 102"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The least thickness of a plate when the emergent beam will be plane polarised is 9.54 micro m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "w=5*10**-7; #wavelength(m)\n",
+ "Re=1.5573; #Refractive index for e ray when the emergent beam will be plane polarised\n",
+ "Ro=1.5442; #Refractive index for o ray when the emergent beam will be plane polarised\n",
+ "\n",
+ "#Calculation\n",
+ "t=w/(4*(Re-Ro)); #least thickness of a plate(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The least thickness of a plate when the emergent beam will be plane polarised is\",round(t*10**6,2),\"micro m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.10, Page number 102"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The thickness of the quarter wave plate for calcite is 1.713 *10**-6 m\n",
+ "answer given in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "w=5893*10**-10; #wavelength of sodium light(m)\n",
+ "Ro=1.658; #Refractive index of calcite for o ray\n",
+ "Re=1.486; #Refractive index of calcite for e ray\n",
+ "\n",
+ "#Calculation\n",
+ "t=w/(2*(Ro-Re)); #thickness of the quarter wave plate for calcite(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The thickness of the quarter wave plate for calcite is\",round(t*10**6,3),\"*10**-6 m\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.11, Page number 102"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The wavelength for which it can act as a half wave plate is 600.0 *10**-9 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "t=30*10**-6; #thickness of wave plate(m)\n",
+ "Ro=1.55; #Refractive index of wave plate for o ray\n",
+ "Re=1.54; #Refractive index of wave plate for e ray\n",
+ "\n",
+ "#Calculation\n",
+ "w=2*t*(Ro-Re); #wavelength for which it can act as a half wave plate(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The wavelength for which it can act as a half wave plate is\",w*10**9,\"*10**-9 m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 4.12, Page number 102"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The thickness of a mica sheet required for making a half wave plate for a light is 4.5508 *10**-5 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "w=546.1*10**-9; #wavelength of light(m)\n",
+ "Re=1.592; #Refractive index of mica for e ray\n",
+ "Ro=1.586; #Refractive index of mica for o ray\n",
+ "\n",
+ "#Calculation\n",
+ "t=w/(2*(Re-Ro)); #thickness of a mica sheet(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The thickness of a mica sheet required for making a half wave plate for a light is\",round(t*10**5,4),\"*10**-5 m\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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