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| author | hardythe1 | 2015-07-03 12:23:43 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-07-03 12:23:43 +0530 |
| commit | 5a86a20b9de487553d4ef88719fb0fd76a5dd6a7 (patch) | |
| tree | db67ac5738a18b921d9a8cf6e86f402703f30bdf /Engineering_Physics_by_PV_Naik/Chapter5.ipynb | |
| parent | 37d315828bbfc0f5cabee669d2b9dd8cd17b5154 (diff) | |
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diff --git a/Engineering_Physics_by_PV_Naik/Chapter5.ipynb b/Engineering_Physics_by_PV_Naik/Chapter5.ipynb new file mode 100755 index 00000000..d125b365 --- /dev/null +++ b/Engineering_Physics_by_PV_Naik/Chapter5.ipynb @@ -0,0 +1,469 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:f4c05fd79d4d56cbd4b08f847aeb0bba767b388c9bbe1bea8066d97e3ac78212"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "5: Diffraction"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.1, Page number 86"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=1;\n",
+ "lamda=600*10**-9; #wavelength(m)\n",
+ "theta=35; #angle at which first minimum falls(degrees)\n",
+ "\n",
+ "#Calculation \n",
+ "theta=theta*math.pi/180; #angle at which first minimum falls(radian)\n",
+ "d=((n*lamda)/math.sin(theta))*10**6; #width of the slit(micro m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The width of the slit is\",round(d,2),\"micro m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The width of the slit is 1.05 micro m\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.2, Page number 86"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "D=0.95; #distance of the screen from the slit(m)\n",
+ "lamda=589*10**-9; #wavelength(m)\n",
+ "d=0.5*10**-3; #width of the slit(m)\n",
+ "\n",
+ "#Calculation \n",
+ "y=((2*D*lamda)/d)*10**3; #width of a central band(mm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The width of the central band is\",round(y,2),\"mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The width of the central band is 2.24 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.3, Page number 86"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "D=1.1; #distance of the screen from the slit(m)\n",
+ "lamda=589*10**-9; #wavelength(m)\n",
+ "y=4.5*10**-3; #distance of first minimum on either side of central maximum(m)\n",
+ "\n",
+ "#Calculation \n",
+ "d=((D*lamda)/y)*10**3 #slit width(mm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The slit width is\",round(d,3),\"mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The slit width is 0.144 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.4, Page number 86"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=4;\n",
+ "lamda=589.6*10**-9; #wavelength(m)\n",
+ "D=0.95; #distance of the screen from the slit(m)\n",
+ "w=0.28*10**-3; #width of the slit(m)\n",
+ "\n",
+ "#Calculation \n",
+ "d=((n*lamda*D)/w)*10**3; #distance between centres(mm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The distance between centres of central maximum and the fourth dark fringe is\",int(d),\"mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The distance between centres of central maximum and the fourth dark fringe is 8 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.5, Page number 86"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "s=5*math.pi/2; #secondary maximum\n",
+ "\n",
+ "#Calculation \n",
+ "I=(math.sin(s)/s)**2; #I2/I0\n",
+ "\n",
+ "#Result\n",
+ "print \"Ratio of intensities of central & second secondary maximum is\",round(I,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Ratio of intensities of central & second secondary maximum is 0.016\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.6, Page number 86"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "lamda=450*10**-9; #wavelength(m)\n",
+ "n=2;\n",
+ "dlambda=1*10**-9; #difference in wavelength(m)\n",
+ "\n",
+ "#Calculation \n",
+ "N=lamda/(n*dlambda); #minimum number of lines per cm \n",
+ "\n",
+ "#Result\n",
+ "print \"The minimum number of lines per cm is\",N/2"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The minimum number of lines per cm is 112.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.7, Page number 86"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=1;\n",
+ "lamda=650*10**-9; #wavelength(m)\n",
+ "d=2*10**-6; #width of the slit(m)\n",
+ "\n",
+ "#Calculation \n",
+ "theta=math.asin((n*lamda)/d); #angle at which first minimum will be observed(radian)\n",
+ "theta=theta*180/math.pi; #angle at which first minimum will be observed(degrees)\n",
+ "\n",
+ "#Result\n",
+ "print \"The angle at which first minimum will be observed is\",round(theta,3),\"degrees\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The angle at which first minimum will be observed is 18.966 degrees\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.8, Page number 87"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "lamda=600*10**-9; #wavelength(m)\n",
+ "y=2*10**-3; #width of the central band(m)\n",
+ "D=1; #distance of the screen from the slit(m)\n",
+ "\n",
+ "#Calculation \n",
+ "d=((2*D*lamda)/y)*10**3; #slit width(mm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The slit width is\",d,\"mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The slit width is 0.6 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 24
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.9, Page number 87"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "y=6*10**-3; #first minimum is observed(m)\n",
+ "d=90*10**-6; #slit width(m)\n",
+ "D=0.98; #distance of the screen from the slit(m)\n",
+ "\n",
+ "#Calculation \n",
+ "lamda=((y*d)/D)*10**9; #wavelength(nm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The wavelength of light used is\",int(lamda),\"nm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The wavelength of light used is 551 nm\n"
+ ]
+ }
+ ],
+ "prompt_number": 27
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.10, Page number 87"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=1;\n",
+ "lambda1=450*10**-9; #wavelength of first spectral line(m)\n",
+ "d=1/5000; #number of lines\n",
+ "\n",
+ "#Calculation \n",
+ "theta1=math.asin((n*lambda1)/d); \n",
+ "theta1=round(theta1*10**2*180/math.pi);\n",
+ "theta2=theta1+2.97;\n",
+ "theta2=theta2*math.pi/180;\n",
+ "lambda2=d*math.sin(theta2)/n; #wavelength of second spectral line(nm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The wavelength of second spectral line is\",int(lambda2*10**7),\"nm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The wavelength of second spectral line is 550 nm\n"
+ ]
+ }
+ ],
+ "prompt_number": 41
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 5.11, Page number 87"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=3;\n",
+ "lamda=700*10**-9; #wavelength(m)\n",
+ "theta=90; #angle(degrees)\n",
+ "\n",
+ "#Calculation \n",
+ "theta=theta*math.pi/180; #angle(radian)\n",
+ "d=n*lamda/math.sin(theta); #grating element(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The minimum grating element required to observe the entire third order spectrum is\",d*10**6,\"*10**-6 m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The minimum grating element required to observe the entire third order spectrum is 2.1 *10**-6 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 45
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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