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diff --git a/Engineering_Physics_Malik/Chapter_1.ipynb b/Engineering_Physics_Malik/Chapter_1.ipynb new file mode 100644 index 00000000..4dd3b7b8 --- /dev/null +++ b/Engineering_Physics_Malik/Chapter_1.ipynb @@ -0,0 +1,2094 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 1: Interference" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.1, Page 1.40" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " # Given \n", + "l = 6.6e-7 # wavelength of light in meter\n", + "L = 1.32e-5 # coherence length in meter\n", + "\n", + "#Calculation\n", + "coherence_time = L / (3 * 10 ** 8)#calculation for coherence time\n", + "\n", + "#Result\n", + "print \"Coherence time = %.1e sec\"%coherence_time" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coherence time = 4.4e-14 sec\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.2, Page 1.40" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "l = 5.896e-7 # wavelength of light in meter\n", + "L = 2.945e-2 # coherence length in meter\n", + "\n", + "#Calculations\n", + "coherence_time = L / (3 * 10**8) # calculation for coherence time\n", + "n = L / l # calculation for number of oscillations \n", + "\n", + "#Results\n", + "print \"Coherence time = %.3e sec.\"%coherence_time\n", + "print \"No. of oscillations = %.2e\"%n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coherence time = 9.817e-11 sec.\n", + "No. of oscillations = 4.99e+04\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.3, Page 1.40" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given\n", + "l = 6.058e-7 # wavelength of light in meter\n", + "L = 0.2 # coherence length in meter\n", + "\n", + "#Calculations\n", + "line_width = (l**2) / L#calculation for line width\n", + "f_spread = (3 * 10**8) / L# calculation for frequency spread\n", + "f = (3 * 10**8) / l # calculation for frequency\n", + "f_stability = f_spread / f # calculation for frequency stability\n", + "coherence_time = L / (3 * 10 ** 8) # calculation for coherence time\n", + "\n", + "#Results\n", + "print(\"Coherence time = %.3e sec\"%coherence_time)\n", + "print(\"Line width = %.3e meter\"%line_width)\n", + "print(\"Frequency stability = %.1e\"%f_stability) #incorrect answer in the textbook" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coherence time = 6.667e-10 sec\n", + "Line width = 1.835e-12 meter\n", + "Frequency stability = 3.0e-06\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.4, Page 1.41" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "lambda_D = 5.5e-13 # Doppler width of orange light in meter\n", + "l = 6.058e-7 # wavelength of light in meter\n", + "\n", + "#Calculation\n", + "coherence_length = (l ** 2) / lambda_D# calculation for coherence light\n", + "\n", + "#Result\n", + "print(\"Coherence length = %.4f meter\"%coherence_length)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coherence length = 0.6673 meter\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.5, Page 1.41" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "lambda1 = 5.461e-7 # wavelength of light emitted by mercury vapour lamp in meter\n", + "band_width1 = 6e8 # band width for mercury vapour lamp in Hz\n", + "lambda2 = 6.328e-7 # the operating wavelength of light for He Ne laser \n", + "band_width2 = 1e6 # band width for laser in Hz\n", + "\n", + "#Calculations\n", + "delta_lambda1 = (lambda1**2 * band_width1) / 3e8 # calculation for difference between two wavelength for mercury vapour\n", + "delta_L1 = lambda1**2 / delta_lambda1 # calculation for coherence length for mercury vapour lamp\n", + "delta_lambda2 = (lambda2**2 * band_width2) / 3e8 # calculation for difference between two wavelength for He Ne laser\n", + "delta_L2 = lambda2**2 / delta_lambda2 # calculation for coherence length for He Ne laser\n", + "R = delta_L1/delta_L2 # calculation for ratio of coherence length of mercury vapour lamp to the coherence length of He Ne laser\n", + "\n", + "#Result\n", + "print(\"The ratio of coherence length of mercury vapour lamp to the coherence length of He Ne laser = 1:%d\"%(1./R))\n", + "#Answer differes due to rounding-off values" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The ratio of coherence length of mercury vapour lamp to the coherence length of He Ne laser = 1:600\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.6, Page 1.42" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "band_width = 3000 # band width of laser in hertz\n", + " \n", + "#Calculation\n", + "coherence_length = (3 * 10 ** 8) / band_width#calculation for coherence length \n", + "\n", + "#Result\n", + "print(\"Coherence length of laser = %.f meter\"%(coherence_length))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coherence length of laser = 100000 meter\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.7, Page 1.42" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given\n", + "l = 6.328e-7 # wavelength of monochromatic light in meter\n", + "t = 10**-10 # chopping time in sec\n", + "\n", + "#Calculations\n", + "coherence_length = (3 * 10 ** 8) * t # calculation for coherence length of monochromatic light \n", + "band_width = 1 / t # calculation for band width \n", + "line_width = ((l ** 2) * band_width) / (3 * 10 ** 8) # calculation for line width \n", + "\n", + "#Result\n", + "print(\"Coherence length of monochromatic light = %.e meter. \\nband width = %.f Hz. \\nline width = %.4f A.\"%(coherence_length, band_width, line_width*1e10))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coherence length of monochromatic light = 3e-02 meter. \n", + "band width = 10000000000 Hz. \n", + "line width = 0.1335 A.\n" + ] + } + ], + "prompt_number": 31 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.8, Page 1.42" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given\n", + "l = 6.438e-7 # wavelength of red cadmium line in meter\n", + "L = 3.8e-1 # coherence length in meter\n", + "\n", + "#Calculations\n", + "coherence_time = L / (3 * 10 ** 8)# calculation for coherence time\n", + "spectral_line_width = (l**2) / L # calculation for spectral line width\n", + "\n", + "#Result\n", + "print(\"Coherence time of red cadmium line = %.3e sec. \\nSpectral line width = %.2e meter.\"%(coherence_time,spectral_line_width))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coherence time of red cadmium line = 1.267e-09 sec. \n", + "Spectral line width = 1.09e-12 meter.\n" + ] + } + ], + "prompt_number": 32 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.9, Page 1.43" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "from sympy import *\n", + "\n", + "# Given \n", + "ratio = 16 # ratio of intensities of two waves\n", + "\n", + "#Calculation\n", + "a1 = sqrt(ratio) # by the formula amplitude = sqrt(intensity)\n", + "a2 = 1\n", + "R = ((a1 + a2) ** 2) / ((a1 - a2) ** 2)# calculation for ratio of maximum intensity with minimum intensity\n", + "R = nsimplify(R)\n", + "\n", + "#Result\n", + "print \"Ratio of maximum intensity with minimum intensity =\",R" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Ratio of maximum intensity with minimum intensity = 25/9\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.10, Page 1.43" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "d = 0.0001 # distance between two slits in meter\n", + "Beta = 0.005 # width of the fringes formed in meter\n", + "D = 1 # distance between slit and screen in meter\n", + "\n", + "#Calculation\n", + "l = (Beta * d) / D # calculation for wavelength of light = %e meter\n", + "\n", + "#Result\n", + "print(\"Wavelength of light = %.f A. \"%(l*1e10))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of light = 5000 A. \n" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.11, Page 1.43" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "\n", + "# Given \n", + "alpha = pi / 180 # angle of bi prism in radian\n", + "mu = 1.5 # refractive index of biprism \n", + "a = 0.4 # distance of bi prism from slit in meter\n", + "b = 0.6 # distance of bi prism from screen in meter\n", + "l = 5.893e-7 # wavelength of light in meter\n", + "\n", + "#Calculation\n", + "D = a + b # calculation for distance between slits and screen\n", + "fringe_width = (l * D) / (2 * a * (mu - 1) * alpha) # calculation for fringe width\n", + "\n", + "#Result\n", + "print(\"Fringe width = %.3e meter.\"%(fringe_width))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Fringe width = 8.441e-05 meter.\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.12, Page 1.44" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "\n", + "# Given \n", + "d1 = 4.05e-3 # distance between slits in first position in meter\n", + "d2 = 2.90e-3 # distance between slits in second position in meter\n", + "l = 5.893e-7 # wavelength of light in meter\n", + "D = 1 # distance between slit and screen\n", + "\n", + "#Calculations\n", + "d = sqrt(d1 * d2)# calculation for distance between fringe\n", + "fringe_width = (l * D) / d # calculation for fringe width\n", + "\n", + "#Result\n", + "print(\"Fringe width = %.3f mm\"%(fringe_width*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Fringe width = 0.172 mm\n" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.13, Page 1.44" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import floor\n", + "\n", + "# Given \n", + "fringe_width = 3.42e-4 # fringe width in meter\n", + "mu = 1.542 # refractive index of glass\n", + "Xn = 2.143e-3 # shift of central fringe in meter\n", + "l = 5.89e-7 # wavelength of light in meter\n", + "\n", + "#Calculations\n", + "n = Xn / fringe_width # calculation for order of the fringe\n", + "t = (floor(n) * l) / (mu - 1) # calculation for thickness of the glass\n", + "\n", + "#Result\n", + "print(\"Thickness of glass sheet = %.2e meter. \"%t)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of glass sheet = 6.52e-06 meter. \n" + ] + } + ], + "prompt_number": 49 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.14, Page 1.45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "fringe_width = 9e-4 # fringe width in meter\n", + "a = 0.1 # distance of bi prism from slit in meter\n", + "b = 0.9 # distance of bi prism from screen in meter\n", + "l = 5.896e-7 # wavelength of light in meter\n", + "\n", + "#Calculation\n", + "D = a + b # calculation for distance between slits and screen\n", + "d = (l * D) / fringe_width # calculation for distance between coherent sources\n", + "\n", + "#Result\n", + "print(\"Distance between coherent sources = %.2e meter. \"%d)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Distance between coherent sources = 6.55e-04 meter. \n" + ] + } + ], + "prompt_number": 50 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.15, Page 1.45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi,degrees\n", + "\n", + "# Given \n", + "fringe_width = 0.0135 # fringe width in meter\n", + "a = 0.5 # distance of bi prism from slits in meter\n", + "b = 0.5 # distance of bi prism from screen in meter\n", + "mu = 1.5 # refractive index of bi prism \n", + "alpha = pi / 360 # angle of bi prism in radian \n", + "\n", + "#Calculations\n", + "D = a + b # calculation for distance between slits and screen \n", + "l = (2. * a * (mu - 1) * alpha * fringe_width) / D # calculation for wavelength of light = %e meter\n", + "\n", + "\n", + "#Result\n", + "print(\"Wavelength of light = %.f A \"%(l*1e8))\n", + "#Answer differs due to rounding-off errors\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of light = 5890 A \n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.16, Page 1.45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "\n", + "# Given \n", + "a = 45 # distance between slit and bi prism in cm\n", + "alpha = pi / 180 # angle of bi prism in radian\n", + "Mu = 1.5 # refractive index of bi prism\n", + "fringe_width = 15.6e-3 # fringe width in meter \n", + "D = 90 #cm\n", + "\n", + "#Calculations\n", + "d2 = (2*a*(Mu-1)*alpha) # calculation for distance between screen and slit\n", + "l = (fringe_width * d2) / D # calculation for wavelength\n", + "\n", + "#Result\n", + "print(\"Wavelength of light = %.f A.\"%(l/1e-8))\n", + "#Answer differs due to rounding-off errors" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of light = 13614 A.\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.17, Page 1.45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "D = 1.20 # distance between source and eye piece in meter\n", + "Xn = 1.9e-2 # distance move by eye piece for 20 fringe in meter\n", + "n = 20 # no. of fringes\n", + "d = 6e-4 # distance between slits in meter \n", + "\n", + "#Calculation\n", + "l = (Xn * d) / (D * n)# calculation for wavelength\n", + "\n", + "#Result\n", + "print(\"Wavelength of light = %.f A.\"%(l*1e10))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of light = 4750 A.\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.18, Page 1.46" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import floor\n", + "\n", + "# Given \n", + "lambda1 = 5.890e-7 # wavelength of first light in meter\n", + "lambda2 = 4.358e-7 # wavelength of second light in meter\n", + "n1 = 40 # no. of fringes observed in the field of in first case \n", + "\n", + "#Calculation\n", + "n2 = (n1 * lambda1) / lambda2 # by using formula n1*lambda1=n2*lambda2\n", + "\n", + "#Result\n", + "print(\"No. of fringes observed in field of view in second case = %d. \"%(floor(n2)))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "No. of fringes observed in field of view in second case = 54. \n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.19, Page 1.46" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos\n", + "\n", + "# Given \n", + "l = 5.893e-7 # wavelength of light in meter\n", + "Mu = 1.42 # refractive index of soap film \n", + "i = 0 # incidence angle in radian \n", + "r = 0 # refracted angle in radian\n", + "n = 1 # for smallest thickness\n", + "\n", + "#Calculations\n", + "t1 = ((2 * n - 1) * l) / (4 * Mu * cos(r)) # calculation for east thickness of soap film for bright fringe\n", + "t2 = (n * l) / (2 * Mu * cos(r)) # calculation for east thickness of soap film for dark fringe\n", + "\n", + "#Result\n", + "print(\"Least thickness of soap film -\\n (a) For bright fringe = %.3e mm. \\n (b) For dark fringe = %.3e mm.\"%(t1*1000,t2*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Least thickness of soap film -\n", + " (a) For bright fringe = 1.038e-04 mm. \n", + " (b) For dark fringe = 2.075e-04 mm.\n" + ] + } + ], + "prompt_number": 97 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.20, Page 1.46" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos,pi,sin,asin\n", + "\n", + "# Given \n", + "l = 5.89e-7 # wavelength of light in meter\n", + "Mu_o = 1.4 # refractive index of oil film \n", + "Mu_w = 1.33 # refractive index of water\n", + "i = pi / 6 # incidence angle in radian \n", + "n = 6 # no. of fringes seen\n", + "\n", + "#Calculation\n", + "r = asin(sin(i) / Mu_o) # calculation for angle of refraction\n", + "t = (n * l) / (2 * Mu_o * cos(r)) # calculation for thickness of film\n", + "\n", + "#Result\n", + "print(\"Thickness of oil film = %.3e mm.\"%(t*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of oil film = 1.351e-03 mm.\n" + ] + } + ], + "prompt_number": 98 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.21, Page 1.47" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos\n", + "\n", + "# Given \n", + "l = 6e-7 # wavelength of light in meter\n", + "Mu = 1.463 # refractive index of soap film \n", + "i = 0 # incidence angle in radian \n", + "r = 0 # refracted angle in radian\n", + "n = 1 # for smallest thickness\n", + "\n", + "#Calculation\n", + "t = ((2 * n - 1) * l) / (4 * Mu * cos(r)) # calculation for least thickness of soap film for bright fringe\n", + "\n", + "#Result\n", + "print(\"Least thickness of soap film for bright fringe = %.3e mm. \"%(t*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Least thickness of soap film for bright fringe = 1.025e-04 mm. \n" + ] + } + ], + "prompt_number": 99 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.22, Page 1.47" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos,pi,sin\n", + "\n", + "# Given That\n", + "l = 5.89e-7 # wavelength of light \n", + "Mu_o = 1.46 # refractive index of oil film \n", + "i = pi / 6 # incidence angle in radian \n", + "n = 8 # no. of fringe is seen\n", + "\n", + "#Calculations\n", + "r = asin(sin(i) / Mu_o) # calculation for angle of refraction\n", + "t = (n * l) / (2 * Mu_o * cos(r)) # calculation for thickness of oil film\n", + "\n", + "#Result\n", + "print(\"Thickness of oil film = %.2e mm. \"%(t*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of oil film = 1.72e-03 mm. \n" + ] + } + ], + "prompt_number": 100 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.23, Page 1.47" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos,pi,floor\n", + "\n", + "# Given That\n", + "lambda1 = 4e-7 # max. wavelength of light in meter\n", + "lambda2 = 5e-7 # min. wavelength of light in meter\n", + "Mu = 1.4 # refractive index of soap film \n", + "i = pi / 4 # incidence angle in radian \n", + "t = 1e-5 # thickness of oil film in meter\n", + "\n", + "#Calculations\n", + "r = asin(sin(i) / Mu) # calculation for angle of refraction\n", + "n1 = (2 * Mu * t * cos(r)) / lambda1 # calculation for no. of dark bands seen in the case of max. wavelength \n", + "n2 = (2 * t * Mu * cos(r)) / lambda2 # calculation for no. of dark seen in the case of min. wavelength \n", + "n = floor(n1) - floor(n2) # claculation for no. of dark bands seen between wavelengths\n", + "\n", + "#Result\n", + "print(\"No. of dark bands seen between wavelengths = %d\"%n)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "No. of dark bands seen between wavelengths = 12\n" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.24, Page 1.48" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos,pi\n", + "\n", + "# Given \n", + "l = 5.89e-7 # wavelength of light in meter\n", + "Mu = 1.5 # refractive index of soap film \n", + "r = pi / 3 # refracted angle in radian\n", + "n = 1 # for smallest thickness\n", + "\n", + "#Calculation\n", + "t = (n * l) / (2 * Mu * cos(r)) # calculation for least thickness of soap film for bright fringe\n", + "\n", + "#Result\n", + "print(\"Least thickness of soap film for bright fringe = %.3e meter \"%t)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Least thickness of soap film for bright fringe = 3.927e-07 meter \n" + ] + } + ], + "prompt_number": 104 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.25, Page 1.48" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos,pi,sin\n", + "\n", + "# Given That\n", + "lambda1 = 6.1e-7 # max. wavelength of light in meter\n", + "lambda2 = 6e-7 # min. wavelength of light in meter\n", + "Mu = 1.333 # refractive index of film \n", + "i = pi / 4 # incidence angle in radian \n", + "\n", + "#Calculation\n", + "r = asin(sin(i) / Mu) # calculation for angle of refraction\n", + "n = lambda2 / (lambda1 - lambda2) # calculation for no. of bright band\n", + "t = (n * lambda1) / (2 * Mu * cos(r)) # calculation for thickness of the film\n", + "\n", + "#Result\n", + "print(\"Thickness of the film = %.2e meter \"%t)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of the film = 1.62e-05 meter \n" + ] + } + ], + "prompt_number": 105 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.26, Page 1.49" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos\n", + "\n", + "# Given \n", + "l = 6e-7 # wavelength of light in meter\n", + "Mu = 1.463 # refractive index of soap film \n", + "i = 0 # incidence angle in radian \n", + "r = 0 # refracted angle in radian\n", + "n = 1 # for smallest thickness\n", + "\n", + "#Calculation\n", + "t = ((2 * n - 1) * l) / (4 * Mu * cos(r)) # calculation for thickness of soap film\n", + "\n", + "#Result\n", + "print(\"\\n Least thickness of soap film for bright fringe = %.3e meter. \"%t)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " Least thickness of soap film for bright fringe = 1.025e-07 meter. \n" + ] + } + ], + "prompt_number": 106 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.27, Page 1.49" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import cos,sin,asin,pi,degrees,radians\n", + "\n", + "# Given \n", + "lambda1 = 6.1e-7 # max. wavelength of light in meter\n", + "lambda2 = 6e-7 # min. wavelength of light in meter\n", + "Mu = 4. / 3 # refractive index of film \n", + "i = asin(4. / 5) # incidence angle in radian \n", + "\n", + "#Calculation\n", + "r = asin(sin(i) / Mu)*180/pi # calculation for angle of refraction\n", + "n = lambda2 / (lambda1 - lambda2) # calculation for order of fringe\n", + "t = (n * lambda1) / (2 * Mu * cos(r*pi/180)) # calculation for thickness of film\n", + "\n", + "#Result\n", + "print(\"Thickness of the film = %.3e mm. \"%(t*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of the film = 1.716e-02 mm. \n" + ] + } + ], + "prompt_number": 127 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.28, Page 1.50" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "l = 5.893e-7 # wavelenth of light in meter\n", + "n = 20 # no. of interference fringes are observed \n", + "Mu = 1 # refractive index of air\n", + "i = 0 # incidence angle in radian \n", + "r = 0 # refracted angle in radian \n", + "\n", + "#Calculation\n", + "t = (n * l) / (2 * Mu) # calculation for thickness of fringe\n", + "\n", + "#Result\n", + "print(\"Thickness of wire = %.3e mm. \"%(t*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of wire = 5.893e-03 mm. \n" + ] + } + ], + "prompt_number": 128 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.29, Page 1.50" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "lamda = 6e-7 # wavelength of light in meter\n", + "Mu = 1 # refractive index of air film\n", + "l = 0.06e-3 # diameter of wire in meter\n", + "L = 0.15 # distance of wire from edge in meter\n", + "\n", + "#Calculation\n", + "theta = l / L #calculation for theta\n", + "fringe_width = (lamda * L)/ (2 * Mu * l) # calculation for fringe width\n", + "\n", + "#Result\n", + "print(\"Fringe width = %.1e mm.\"%fringe_width)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Fringe width = 7.5e-04 mm.\n" + ] + } + ], + "prompt_number": 140 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.30, Page 1.51" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "l = 4.56e-7 # wavelength of light in meter\n", + "theta = 1.9e-4 # angle of wedge in radian \n", + "Mu = 1 # refractive index of air\n", + "\n", + "#Calculation\n", + "fringe_width = l / (2 * Mu * theta)# calculation for fringe width \n", + "\n", + "#Result\n", + "print(\"Fringe width = %.1f mm.\"%(fringe_width*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Fringe width = 1.2 mm.\n" + ] + } + ], + "prompt_number": 33 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.31, Page 1.51" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "lamda = 6e-7 # wavelength of light in meter\n", + "Mu = 1 # refractive index of air film\n", + "l = 0.03*10**-3 # diameter of wire in meter\n", + "L = 0.15 # distance of wire from edge in meter\n", + "i = 0 # incidence angle in radian \n", + "r = 0 # refracted angle in radian \n", + "\n", + "#Calculation\n", + "theta = l / L # calculation for theta\n", + "fringe_width = lamda / (2 * Mu * theta) # calculation for fringe width \n", + "\n", + "#Result\n", + "print(\"Fringe width = %.1f mm.\"%(fringe_width*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Fringe width = 1.5 mm.\n" + ] + } + ], + "prompt_number": 141 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.32, Page 1.51" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "l = 5.890e-7 # wavelength of light in meter\n", + "theta = 1e-2 # angle of wedge in radian \n", + "n = 12 # no. of dark fringe\n", + "Mu = 1 # refractive index of air\n", + "i = 0 # incidence angle in radian\n", + "r = 0 # refracted angle in radian\n", + "\n", + "#Calculatiom\n", + "x = ( n * l) / (2 * theta) # calculation for distance\n", + "\n", + "#Result\n", + "print(\"Distance = %.2f mm. \"%(x*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Distance = 0.35 mm. \n" + ] + } + ], + "prompt_number": 142 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.33, Page 1.52" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "\n", + "# Given \n", + "l = 5.5e-7 # wavelength of light in meter\n", + "w = 2e-5 # fringe width in meter\n", + "Mu = 1.5 # refractive index of film\n", + "i = 0 # incidence angle in radian\n", + "r = 0 # refracted angle in radian\n", + "\n", + "#Calculation\n", + "theta = l / (2 * Mu * w)# calculation for the angle of the film\n", + "\n", + "#Result\n", + "print(\"Angle of wedge = %.3f degree. \"%(theta * 180/pi))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Angle of wedge = 0.525 degree. \n" + ] + } + ], + "prompt_number": 143 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + " Example 1.34, Page 1.52" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "d1 = 5.9e-3 # diameter of 15th ring in meter\n", + "d2 = 3.36e-3 # diameter of 5th ring in meter\n", + "R = 1 # radius of the plano-convex lens in meter\n", + "\n", + "#Calculations\n", + "p = 15 - 5\n", + "l = ((d1**2) - (d2**2)) / (4 * p * R) # calculation for wavelength of light\n", + "\n", + "#Result\n", + "print(\"Wavelength of light = %.f A.\"%(l*1e10))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of light = 5880 A.\n" + ] + } + ], + "prompt_number": 39 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.35, Page 1.52" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "d1 = 2e-3 # diameter of 10th ring in meter\n", + "d2 = 3e-3 # diameter of 20th ring in meter\n", + "f = 0.9 # focal length of the plano-convex lens in meter\n", + "mu = 1.5 # refractive index of lens\n", + "\n", + "#Calculations\n", + "p = 20 - 10\n", + "R = (f * (mu - 1)) # calculation for radius of convex surface of lens\n", + "l = ((d2**2) - (d1**2)) / (4 * p * R)\n", + "\n", + "#Result\n", + "print(\"Wavelength of light = %.f nm.\"%(l*1e9))\n", + "#Incorrect answer in the textbook\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of light = 2778 nm.\n" + ] + } + ], + "prompt_number": 145 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.36, Page 1.53" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt \n", + "\n", + "# Given \n", + "l = 5.896e-7 # wavelength of light in meter\n", + "f = 1 # focal length of the plano-convex lens in meter\n", + "mu = 1.5 # refractive index of lens \n", + "n = 7 # no. of bright ring\n", + "\n", + "#Calculations\n", + "p = 20 - 10\n", + "R = (f * (mu - 1)) * 2 # calculation for radius of lens\n", + "D = sqrt(4 * n * l * R) # calculation for diameter of 7th ring \n", + "\n", + "#Result\n", + "print(\"Diameter of 7th bright ring = %.3e meter.\"%(D))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of 7th bright ring = 4.063e-03 meter.\n" + ] + } + ], + "prompt_number": 146 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.37, Page 1.53" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "\n", + "# Given That\n", + "lambda1 = 6e-7 # wavelength of first light in meter\n", + "lambda2 = 4.8e-7 # wavelength of second light in meter\n", + "r = 0.96 # radius of curvature of curved surface of lens in meter\n", + "\n", + "#Calculations\n", + "n = lambda2 / (lambda1 - lambda2) # calculation for order of fringe\n", + "D = sqrt(4 * (n + 1) * lambda2 * r) # calculation for diameter of ring\n", + "\n", + "#Result\n", + "print(\"Diameter of (n +1)th dark ring of lambda2. = %.2e meter.\"%D)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of (n +1)th dark ring of lambda2. = 3.04e-03 meter.\n" + ] + } + ], + "prompt_number": 147 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.38, Page 1.54" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "\n", + "# Given \n", + "lambda1 = 6e-7 # wavelength of first light in meter\n", + "lambda2 = 5.9e-7 # wavelength of second light in meter\n", + "r = 0.9 # radius of curvature of curved surface of lens in meter\n", + "\n", + "#Calculations\n", + "n = lambda2 / (lambda1 - lambda2) # calculation for order of ring\n", + "D = sqrt(4 * (n + 1) * lambda1 * r) # calculation for diameter of ring\n", + "\n", + "#Result\n", + "print(\"Diameter of nth dark ring of lambda1 = %.4f meter.\"%D)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of nth dark ring of lambda1 = 0.0114 meter.\n" + ] + } + ], + "prompt_number": 148 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.39, Page 1.54" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "l = 5.896e-7 # wavelength of light in meter\n", + "D = 4e-3 # diameter of 7th brighter fringe in m\n", + "R = 1 # radius of curvature in m\n", + "n = 7 # for seventh brighter fringe\n", + "\n", + "#Calculation\n", + "mu = 2*(2*n-1)*l*R / D**2 # calculation for refractive index of liquid\n", + "\n", + "#Result\n", + "print(\"Refractive index of liquid = %.2f.\"%mu)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Refractive index of liquid = 0.96.\n" + ] + } + ], + "prompt_number": 149 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.40, Page 1.54" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "D1 = 3e-3 # diameter of nth dark fringe when liquid is absent between the lens and the plate in m\n", + "D2 = 2.5e-3 # diameter of nth dark fringe when liquid is introduced between the lens and the plate in m\n", + "c = 3e8 # velocity of light in vacuum in m/sed\n", + "\n", + "#Calculations\n", + "mu = D1**2 / D2**2# calculation for refractive index\n", + "v = 3e8 / mu # calculation for velocity of light \n", + "\n", + "#Result\n", + "print(\"Refractive index of liquid = %.2f.\\n velocity of light in the liquid = %.2e m/sec.\"%(mu,v))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Refractive index of liquid = 1.44.\n", + " velocity of light in the liquid = 2.08e+08 m/sec.\n" + ] + } + ], + "prompt_number": 150 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.41, Page 1.55" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "l = 5.896e-7 # wavelength of light in meter\n", + "D = 5.1e-3 # diameter of 16th brighter fringe in m\n", + "R = 1 # radius of curvature in m\n", + "n = 16 # for sixteenth brighter fringe\n", + "\n", + "#Calculation\n", + "mu = 4*n*l*R / D**2 # calculation for refractive index of liquid\n", + "\n", + "#Result\n", + "print(\"Refractive index of liquid = %.2f\"%mu)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Refractive index of liquid = 1.45\n" + ] + } + ], + "prompt_number": 170 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.42, Page 1.55" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "\n", + "# Given \n", + "l = 6.3e-7 # wavelength of light in meter\n", + "mu = 1.63 # refractive index of liquid \n", + "R = 0.9 # the radius of curvature of convex lens in meter\n", + "\n", + "#Calculation\n", + "r = sqrt(l*R/mu) # calculation for the radius of smallest dark ring\n", + "\n", + "#Result\n", + "print(\"The radius of smallest dark ring = %.2f mm.\"%(r*1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The radius of smallest dark ring = 0.59 mm.\n" + ] + } + ], + "prompt_number": 171 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.43, Page 1.55" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "r = 10./7 # ratio of nth ring diameter for two media\n", + "\n", + "#Calculation\n", + "R = (1/r)**2 # calculation for the ratio of refractive index of media\n", + "\n", + "#Result\n", + "print(\"The ratio refractive index of media = %.f:100.\"%(R*100))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The ratio refractive index of media = 49:100.\n" + ] + } + ], + "prompt_number": 173 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.44, Page 1.56" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "R = 0.9 # radius of curvature of the lower face of the lens in meter\n", + "D = 4.8e-3 # diameter of the 10th dark ring in meter\n", + "n = 10 # for 10th dark ring\n", + "\n", + "#Calculation\n", + "l = D**2 / (4 * n * R) # calculation for wavelength of light\n", + "\n", + "#Result\n", + "print(\"Wavelength of light = %.f A.\"%(l * 1e10))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of light = 6400 A.\n" + ] + } + ], + "prompt_number": 174 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.45, Page 1.56" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "r = 1./2 # ratio of 5th ring diameter \n", + "\n", + "#Calculatio\n", + "R = (1/r)**2 # calculation for refractive index of liquid\n", + "\n", + "#Result\n", + "print(\"Refractive index of liquid = %.f. \"%R)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Refractive index of liquid = 4. \n" + ] + } + ], + "prompt_number": 175 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.46, Page 1.56" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "\n", + "# Given That\n", + "R = 1 # radius of curvature of lens of both side in meter\n", + "l = 5.4e-7 # wavelength of monochromatic light in meter\n", + "n1 = 5 # for 5th dark ring\n", + "n2 = 15 # for 10th dark ring\n", + "\n", + "#Calculation\n", + "r1 = sqrt((n1*l)/(1/R + 1/R)) # calculation for radius of 5th dark ring\n", + "r2 = sqrt((n2*l)/(1/R + 1/R)) # calculation for radius of 15th dark ring\n", + "d = r2 - r1 # calculation for distance between 5th and 15th dark ring\n", + "\n", + "#Result\n", + "print(\"Distance between 5th and 15th dark ring = %.3f cm.\"%(d * 100))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Distance between 5th and 15th dark ring = 0.085 cm.\n" + ] + } + ], + "prompt_number": 177 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.47, Page 1.57" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "x = 2.5e-5 # distance moved by movable mirror in meter\n", + "t = 5e-5 # thickness of mica sheet in meter\n", + "\n", + "#Calculation\n", + "mu = x / t + 1 # calculation for refractive index of mica\n", + "\n", + "#Result\n", + "print(\"Refractive index of mica = %.1f\"%mu)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Refractive index of mica = 1.5\n" + ] + } + ], + "prompt_number": 179 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.48, Page 1.57" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "x = 6e-5 # distance moved by movable mirror in meter\n", + "N = 200 # no. of fringes crossed the field of view \n", + "\n", + "#Calculation\n", + "l = (2 * x) / N # calculation for wavelength of light\n", + "\n", + "#Result\n", + "print(\"Wavelength of light = %.f A.\"%(l * 1e10))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of light = 6000 A.\n" + ] + } + ], + "prompt_number": 180 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.49, Page 1.57" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "n = 50 # no. of bands crosses the line of observation \n", + "l = 5.896e-7 # wavelength of light in meter\n", + "mu = 1.4 # refractive index \n", + "\n", + "#Calculation\n", + "t = n*l / (2*(mu-1)) # calculation for thickness of the plate\n", + "\n", + "#Result\n", + "print(\"Thickness of the plate = %.2e m.\"%t)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of the plate = 3.69e-05 m.\n" + ] + } + ], + "prompt_number": 181 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.50, Page 1.57" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "n = 50 # no. of bands crosses the line of observation \n", + "lambda1 = 5.896e-7 # max. wavelength of light in meter\n", + "lambda2 = 5.89e-7 # min. wavelength of light in meter\n", + "\n", + "#Calculation\n", + "x = lambda1 * lambda2 /(lambda1 - lambda2) # calculation for the path difference\n", + "\n", + "#Result\n", + "print(\"The path difference = %.4f mm.\"%(x*10**3))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The path difference = 0.5788 mm.\n" + ] + } + ], + "prompt_number": 182 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.51, Page 1.58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "x = 2.948e-5 # distance moved by movable mirror in meter\n", + "n = 100 # no. of fringes cross the field of view \n", + "\n", + "#Calculation\n", + "l = 2*x/n # calculation for wavelength of monochromatic light\n", + "\n", + "#Result\n", + "print(\"Wavelength of monochromatic light = %.f A.\"%(l * 1e10))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Wavelength of monochromatic light = 5896 A.\n" + ] + } + ], + "prompt_number": 183 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.52, Page 1.58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "lambda1 = 5.896e-7 # max. wavelength of light in meter\n", + "lambda2 = 5.89e-7 # min. wavelength of light in meter\n", + "\n", + "#Calculation\n", + "x = lambda1 * lambda2 /(2*(lambda1 - lambda2)) # calculation for the path difference\n", + "\n", + "#Result\n", + "print(\"The distance through which the movable mirror is move = %.3f mm.\"%(x*10**3))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The distance through which the movable mirror is move = 0.289 mm.\n" + ] + } + ], + "prompt_number": 184 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.53, Page 1.58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "x = 2.945e-4 # distance moved by movable mirror in meter\n", + "l = 5.893e-7 # mean wavelength of light in meter\n", + "\n", + "#Calculation\n", + "delta_lambda = l**2 / (2*x) # calculation for difference between two wavelengths\n", + "\n", + "#Result\n", + "print(\"Difference between two wavelengths = %.3f A.\"%(delta_lambda*1e10))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Difference between two wavelengths = 5.896 A.\n" + ] + } + ], + "prompt_number": 185 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.54, Page 1.58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "n = 140 # no. of shift in fringe\n", + "l = 5.46e-7 # wavelength of light in meter\n", + "t = 0.2 # length of tube in meter\n", + "\n", + "#Calculation\n", + "mu = (n*l)/(2*t) + 1 # calculation for refractive index of gas\n", + "\n", + "#Result\n", + "print(\"Refractive index of gas = %.5f\"%mu)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Refractive index of gas = 1.00019\n" + ] + } + ], + "prompt_number": 188 + } + ], + "metadata": {} + } + ] +}
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