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diff --git a/Modern_physics_for_engineers_by_S.P.Taneja/chapter15.ipynb b/Modern_physics_for_engineers_by_S.P.Taneja/chapter15.ipynb new file mode 100644 index 00000000..cda8a826 --- /dev/null +++ b/Modern_physics_for_engineers_by_S.P.Taneja/chapter15.ipynb @@ -0,0 +1,741 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:aa5ceefed0ada315a43937860fa7396936667b9a8413471a944a5253df1179d4"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 15 X-Ray and diffraction of X-Ray"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.1 Page no 55"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=100000.0\n",
+ "a=12400\n",
+ "\n",
+ "#Calculation\n",
+ "w=a/V\n",
+ "\n",
+ "#Result\n",
+ "print\"Cut off wavelength is\",w,\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Cut off wavelength is 0.124 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.2 Page no 56"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=25000.0\n",
+ "\n",
+ "#Calculation\n",
+ "w=a/V\n",
+ "\n",
+ "#Result\n",
+ "print\"Minimum wavelength is\",w,\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Minimum wavelength is 0.496 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.3 Page no 56"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "e=1.6*10**-19 #C\n",
+ "V=10*10**3\n",
+ "m=9.1*10**-31 #Kg\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "v=math.sqrt((2*e*V)/m)\n",
+ "\n",
+ "#Result\n",
+ "print\"Velocity of electron is\",round(v*10**-7,1),\"*10**7 m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity of electron is 5.9 *10**7 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.4 Page no 56"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "h=6.62*10**-34 #j-s\n",
+ "e=1.6*10**-19 #C\n",
+ "c=3*10**8\n",
+ "w=10**-10\n",
+ "\n",
+ "#Calculation\n",
+ "E=((h*c)/w)/e\n",
+ "\n",
+ "#Result\n",
+ "print\"Energy of each electron is\",round(E*10**-3,2),\"Kev\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Energy of each electron is 12.41 Kev\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.5 Page no 56"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "w=10**-10\n",
+ "\n",
+ "#Calculation\n",
+ "V=a/w\n",
+ "\n",
+ "#Result\n",
+ "print\"Minimum applied potential is\",V*10**-3,\"KV\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Minimum applied potential is 1.24e+11 KV\n"
+ ]
+ }
+ ],
+ "prompt_number": 27
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.6 Page no 57"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=40*10**3 #V\n",
+ "e=1.6*10**-19 #C\n",
+ "w=0.310*10**-10\n",
+ "c=3.0*10**8\n",
+ "\n",
+ "#Calculation\n",
+ "h=(V*e*w)/c\n",
+ "\n",
+ "#Result\n",
+ "print\"Planck's constant is\",round(h*10**34,2)*10**-34,\"Joule-sec\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Planck's constant is 6.61e-34 Joule-sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 32
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.7 Page no 57"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "w=1.93\n",
+ "a=25\n",
+ "b=49.0\n",
+ "\n",
+ "#Calculation\n",
+ "W=(a/b)**2*w\n",
+ "\n",
+ "#Result\n",
+ "print\"Ka lines for tin and barium is\",round(W,1),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Ka lines for tin and barium is 0.5 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 36
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.8 Page no 57"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R=1.1*10**7 #/m\n",
+ "Z=92\n",
+ "\n",
+ "#Calculation\n",
+ "W=4/(3*R*(Z-1)**2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Wavelength is\",round(W*10**10,3),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Wavelength is 0.146 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 41
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.9 Page no 58"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "I0=23.0\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "x=-(10/I0)*math.log(10)*math.log10(0.5)\n",
+ "\n",
+ "#Result\n",
+ "print\"Thickness is\",round(x,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thickness is 0.3 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 50
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.10 Page no 58"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "x=1.05*10**-3 #m\n",
+ "a=8930\n",
+ "u=2466.7 #m\n",
+ "\n",
+ "#Calculation\n",
+ "p=u/a\n",
+ "\n",
+ "#Result\n",
+ "print\"The mass absorption coefficient of copper is\",round(p,3),\"m**3/kg\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The mass absorption coefficient of copper is 0.276 m**3/kg\n"
+ ]
+ }
+ ],
+ "prompt_number": 58
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.11 Page no 58"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "d=2.820 #A\n",
+ "q=2\n",
+ "a=0.1491\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "l=d*a*q\n",
+ "l1=math.asin((q*l)/(q*d))*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"The wavelength of the x-ray is\",round(l,3),\"A\"\n",
+ "print\"The angle is\",round(l1,0),\"degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The wavelength of the x-ray is 0.841 A\n",
+ "The angle is 17.0 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 68
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.12 Page no 59"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "d=3.84*10**-8\n",
+ "n=2\n",
+ "a=10*0.05\n",
+ "h=6.6*10**-34\n",
+ "e=10**-10\n",
+ "m=1.67*10**-27\n",
+ "A=30\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "l=n*d*math.sin(A*3.14/180.0)\n",
+ "v=(h/(m*l*10))\n",
+ "\n",
+ "#Result\n",
+ "print\"The wave length of the neutron beam is\",round(l*10**8,2),\"10**-8\"\n",
+ "print\"Speed is\", round(v,2),\"*10**3 m/sec\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The wave length of the neutron beam is 3.84 10**-8\n",
+ "Speed is 1.03 *10**3 m/sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 106
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.13 Page no 59"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "l=1.8*10**-18\n",
+ "\n",
+ "#Calculation\n",
+ "a=1*l\n",
+ "\n",
+ "#Result\n",
+ "print\"Interatomic spacing is\",a,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Interatomic spacing is 1.8e-18 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 109
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.14 Page no 59"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "d=2.814\n",
+ "a=9 #degree\n",
+ "n1=1\n",
+ "n2=2\n",
+ "n3=3\n",
+ "n4=4\n",
+ "n5=5\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "l1=n2*d*math.sin(a*3.14/180.0)\n",
+ "l2=l1/2.0\n",
+ "l3=l1/3.0\n",
+ "l4=l1/4.0\n",
+ "l5=l1/5.0\n",
+ "\n",
+ "#Result\n",
+ "print\"Wavelength is\",round(l1,4),\"A\\n\",round(l2,4),\"A\\n\",round(l3,4),\"A\\n\",round(l4,4),\"A\\n\",round(l5,4),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Wavelength is 0.88 A\n",
+ "0.44 A\n",
+ "0.2933 A\n",
+ "0.22 A\n",
+ "0.176 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 132
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.15 Page no 59"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "w=0.71 #A \n",
+ "a=2.814\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "A=math.asin(w/a)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"The glancing angle on the cube face is\",round(A,0)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The glancing angle on the cube face is 15.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 143
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.16 Page no 60"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "w=2*10**-11\n",
+ "q=45\n",
+ "l=3\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "r=1*w*math.sqrt(l)/(2*math.sin(q*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"The interatomic spacing of the crystal is\",round(r*10**11,2),\"10**-11\",\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The interatomic spacing of the crystal is 2.45 10**-11 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 151
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.17 Page no 60"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=5 \n",
+ "b=12 \n",
+ "c=18 \n",
+ "l=0.586 #A\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "d=l/(2*math.sin(a*3.14/180.0))\n",
+ "d1=l/(math.sin(b*3.14/180.0))\n",
+ "d2=1/(2*math.sin(c*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"The spacing from first maximum is\",round(d,3),\"A\"\n",
+ "print\"The spacing from second maximum is\",round(d1,3),\"A\"\n",
+ "print\"The spacing from third maximum is\",round(d2,3),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The spacing from first maximum is 3.363 A\n",
+ "The spacing from second maximum is 2.82 A\n",
+ "The spacing from third maximum is 1.619 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 173
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.18 Page no 60"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "w=1.549\n",
+ "d=4.255\n",
+ "n=1\n",
+ "n1=2\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "a=n*w/(2*d)\n",
+ "A=math.asin(a)*180/3.14\n",
+ "a1=n1*w/(2*d)\n",
+ "A1=math.asin(a1)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"Glacing angles are\",round(A,2),\"degree and\",round(A1,2),\"Degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Glacing angles are 10.49 degree and 21.36 Degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 180
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.19 Page no 61"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=28 #Degree\n",
+ "w=0.32*10**-9\n",
+ "n=1\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "d=n*w/(2.0*math.sin(a*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"Distance between atomic planes is\",round(d*10**9,2),\"nm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Distance between atomic planes is 0.34 nm\n"
+ ]
+ }
+ ],
+ "prompt_number": 193
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |