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Diffstat (limited to 'Engineering_Physics/Chapter9_1.ipynb')
| -rwxr-xr-x | Engineering_Physics/Chapter9_1.ipynb | 311 |
1 files changed, 8 insertions, 303 deletions
diff --git a/Engineering_Physics/Chapter9_1.ipynb b/Engineering_Physics/Chapter9_1.ipynb index bea06702..ff53dd34 100755 --- a/Engineering_Physics/Chapter9_1.ipynb +++ b/Engineering_Physics/Chapter9_1.ipynb @@ -1,7 +1,6 @@ { "metadata": { - "name": "", - "signature": "sha256:1c769d85a6ecede1e3083e9252f10446216c71537365688b1cba3c5693bdfee6" + "name": "Chapter9" }, "nbformat": 3, "nbformat_minor": 0, @@ -12,45 +11,25 @@ "cell_type": "heading", "level": 1, "metadata": {}, - "source": [ - "9: Quantum Mechanics" - ] + "source": "9: Superconducting Materials" }, { "cell_type": "heading", "level": 2, "metadata": {}, - "source": [ - "Example number 9.1, Page number 202" - ] + "source": "Example number 9.1, Page number 255" }, { "cell_type": "code", "collapsed": false, - "input": [ - " \n", - "#importing modules\n", - "import math\n", - "from __future__ import division\n", - "\n", - "#Variable declaration\n", - "V = 100; #Accelerating potential for electron(volt)\n", - "\n", - "#Calculation\n", - "lamda = math.sqrt(150/V)*10**-10; #de-Broglie wavelength of electron(m)\n", - "\n", - "#Result\n", - "print \"The De-Broglie wavelength of electron is\",lamda, \"m\"" - ], + "input": "#importing modules\nimport math\n\n#Variable declaration\nH0 = 6.5*10**4; #magnetic field intensity(A/m)\nT = 4.2; #temperature(K)\nTc = 7.18; #critical temperature(K)\n\n#Calculation\nHc = H0*(1-((T**2)/(Tc**2))); #critical magnetic field intensity(A/m)\nHc = Hc*10**-4;\nHc=math.ceil(Hc*10**3)/10**3; #rounding off to 3 decimals\n\n#Result\nprint \"critical magnetic field intensity is\",Hc,\"*10**4 A/m\"", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", - "text": [ - "The De-Broglie wavelength of electron is 1.22474487139e-10 m\n" - ] + "text": "critical magnetic field intensity is 4.276 *10**4 A/m\n" } ], "prompt_number": 1 @@ -59,296 +38,22 @@ "cell_type": "heading", "level": 2, "metadata": {}, - "source": [ - "Example number 9.2, Page number 203" - ] + "source": "Example number 9.2, Page number 255" }, { "cell_type": "code", "collapsed": false, - "input": [ - " \n", - "#importing modules\n", - "import math\n", - "from __future__ import division\n", - "\n", - "#Variable declaration\n", - "e = 1.6*10**-19; #Energy equivalent of 1 eV(J/eV)\n", - "h = 6.626*10**-34; #Planck's constant(Js)\n", - "m = 9.11*10**-31; #Mass of the electron(kg)\n", - "Ek = 10; #Kinetic energy of electron(eV)\n", - "\n", - "#Calculation\n", - "p = math.sqrt(2*m*Ek*e); #Momentum of the electron(kg-m/s)\n", - "lamda = h/p ; #de-Broglie wavelength of electron from De-Broglie relation(m)\n", - "lamda = lamda*10**9; #de-Broglie wavelength of electron from De-Broglie relation(nm)\n", - "lamda = math.ceil(lamda*10**2)/10**2; #rounding off the value of lamda to 2 decimals\n", - "\n", - "#Result\n", - "print \"The de-Broglie wavelength of electron is\",lamda, \"nm\"" - ], + "input": "#importing modules\nimport math\n\n#Variable declaration\nTc1 = 4.185; #critical temperature for M1(K)\nTc2 = 4.133; #critical temperature for M2(K)\nM1 = 199.5; #isotopic mass\nalpha = 0.5;\n\n#Calculation\nA = math.pow(M1,alpha)*Tc1/Tc2;\nM2 = math.pow(A,1/alpha); #isotopic mass\nM2=math.ceil(M2*10**3)/10**3; #rounding off to 3 decimals\n\n#Result\nprint \"isotopic mass is\",M2\nprint \"answer given in the book is wrong\"", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", - "text": [ - "The de-Broglie wavelength of electron is 0.39 nm\n" - ] + "text": "isotopic mass is 204.552\nanswer given in the book is wrong\n" } ], "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.3, Page number 203. theoritical proof" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.4, Page number 203" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - " \n", - "#importing modules\n", - "import math\n", - "from __future__ import division\n", - "\n", - "#Variable declaration\n", - "h = 6.626*10**-34; #Planck's constant(Js)\n", - "m = 9.11*10**-31; #Mass of the electron(kg)\n", - "v = 1.1*10**6; #Speed of the electron(m/s)\n", - "pr = 0.1; #precision in percent\n", - "\n", - "#Calculation\n", - "p = m*v; #Momentum of the electron(kg-m/s)\n", - "dp = pr/100*p; #Uncertainty in momentum(kg-m/s)\n", - "h_bar = h/(2*math.pi); #Reduced Planck's constant(Js)\n", - "dx = h_bar/(2*dp); #Uncertainty in position(m)\n", - "\n", - "#Result\n", - "print \"The uncertainty in position of electron is\",dx, \"m\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The uncertainty in position of electron is 5.26175358211e-08 m\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.5, Page number 203" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - " \n", - "#importing modules\n", - "import math\n", - "from __future__ import division\n", - "\n", - "#Variable declaration\n", - "e = 1.6*10**-19; #Energy equivalent of 1 eV(J/eV)\n", - "h = 6.626*10**-34; #Planck's constant(Js)\n", - "dt = 10**-8; #Uncertainty in time(s)\n", - "\n", - "#Calculation\n", - "h_bar = h/(2*math.pi); #Reduced Planck's constant(Js)\n", - "dE = h_bar/(2*dt*e); #Uncertainty in energy of the excited state(m)\n", - "\n", - "#Result\n", - "print \"The uncertainty in energy of the excited state is\",dE, \"eV\"\n", - "\n", - "#answer given in the book is wrong" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The uncertainty in energy of the excited state is 3.2955020404e-08 eV\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.6, Page number 204" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - " \n", - "#importing modules\n", - "import math\n", - "from __future__ import division\n", - "\n", - "#Variable declaration\n", - "c = 3*10**8; #Speed of light(m/s)\n", - "dt = 10**-8; #Average lifetime(s)\n", - "lamda = 400; #Wavelength of spectral line(nm)\n", - "\n", - "#Calculation\n", - "lamda = lamda*10**-9; #Wavelength of spectral line(m)\n", - "#From Heisenberg uncertainty principle,\n", - "#dE = h_bar/(2*dt) and also dE = h*c/lambda^2*d_lambda, which give\n", - "#h_bar/(2*dt) = h*c/lambda^2*d_lambda, solving for d_lambda\n", - "d_lamda = (lamda**2)/(4*math.pi*c*dt); #Width of spectral line(m)\n", - "\n", - "#Result\n", - "print \"The width of spectral line is\",d_lamda, \"m\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The width of spectral line is 4.24413181578e-15 m\n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.7, Page number 204. theoritical proof" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.8, Page number 204. theoritical proof" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.9, Page number 205. theoritical proof" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.10, Page number 205. theoritical proof" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.11, Page number 205. theoritical proof" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.12, Page number 206. theoritical proof" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.13, Page number 206. theoritical proof " - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example number 9.14, Page number 207" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - " \n", - "#importing modules\n", - "import math\n", - "from __future__ import division\n", - "from scipy.integrate import quad\n", - "\n", - "#Variable declaration\n", - "a = 2*10**-10; # Width of 1D box(m)\n", - "x1=0; # Position of first extreme of the box(m)\n", - "x2=1*10**-10; # Position of second extreme of the box(m)\n", - "\n", - "#Calculation\n", - "def intg(x):\n", - " return ((2/a)*(math.sin(2*math.pi*x/a))**2)\n", - "S=quad(intg,x1,x2)[0]\n", - "\n", - "#Result\n", - "print \"The probability of finding the electron between x = 0 and x = 10**-10 is\",S" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The probability of finding the electron between x = 0 and x = 10**-10 is 0.5\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [] } ], "metadata": {} |