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diff --git a/modern_physics_by_Satish_K._Gupta/chap21_1.ipynb b/modern_physics_by_Satish_K._Gupta/chap21_1.ipynb new file mode 100644 index 00000000..54cafbe9 --- /dev/null +++ b/modern_physics_by_Satish_K._Gupta/chap21_1.ipynb @@ -0,0 +1,1809 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:07c4b928a455230c9db333bb0062ec9efe3c0f7899f2ff1857d420b5212b1285"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 21 Refraction Of Light"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.1 Page no 650"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "U=1.5\n",
+ "c=3.0*10**8 #m s**-1\n",
+ "\n",
+ "#Calculation\n",
+ "v=c/U\n",
+ "\n",
+ "#Result\n",
+ "print\" Speed of light in glass is\",v*10**-8,\"10**8\",\"m s**-1\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " Speed of light in glass is 2.0 10**8 m s**-1\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.2 Page no 650"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u=1.33\n",
+ "Lu=589*10**-9 #m\n",
+ "c=3*10**8\n",
+ "\n",
+ "#Calculation\n",
+ "v=c/Lu\n",
+ "v1=c/u\n",
+ "Lw=v1/v\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Wavelenght of light after reflection is\",Lu*10**9,\"10**-9\"\n",
+ "print\" Velocity of light after reflection is\",c*10**-8,\"10**8\",\"m s**-1\"\n",
+ "print\" Frqequency of light after reflection is\",round(v*10**-14,4),\"10**14\",\"Hz\"\n",
+ "print\"(b) Frequency of light after refraction is\",round(v*10**-14,4),\"10**14\",\"Hz\"\n",
+ "print\" Velocity of light after refraction is\",round(v1*10**-8,3),\"10**8\",\"m s**-1\"\n",
+ "print\" Wavelength of light after refraction is\",round(Lw*10**9,2),\"nm\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Wavelenght of light after reflection is 589.0 10**-9\n",
+ " Velocity of light after reflection is 3.0 10**8 m s**-1\n",
+ " Frqequency of light after reflection is 5.0934 10**14 Hz\n",
+ "(b) Frequency of light after refraction is 5.0934 10**14 Hz\n",
+ " Velocity of light after refraction is 2.256 10**8 m s**-1\n",
+ " Wavelength of light after refraction is 442.86 nm\n"
+ ]
+ }
+ ],
+ "prompt_number": 35
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.3 Page no 651"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "i=60\n",
+ "u=1.5\n",
+ "t=0.1 #m\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "r=(math.sin(60*3.14/180.0))/u\n",
+ "a=math.asin(r)*180/3.14\n",
+ "d=t/math.cos(r*3.14/180.0)*(math.sin(24*3.14/180.0))\n",
+ "\n",
+ "#Result\n",
+ "print\"The lateral shift produced is\",round(d,4),\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The lateral shift produced is 0.0407 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 48
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.4 Page no 651"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A=4/3.0\n",
+ "A1=3/2.0\n",
+ "I=30\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "S=A1/A\n",
+ "R=math.sin(30*3.16/180.0)/S\n",
+ "A=math.asin(R)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"The angle of refraction is\",round(A,0)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The angle of refraction is 27.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 59
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.5 Page no 651"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "t=15\n",
+ "u=1.5\n",
+ "\n",
+ "#Calculation\n",
+ "d=t*(1-(1/u))\n",
+ "\n",
+ "#Result\n",
+ "print\" Real thickness of glass slab is\",d,\"cm\"\n",
+ "print\" The answer does not depend upon the location of the slab\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " Real thickness of glass slab is 5.0 cm\n",
+ " The answer does not depend upon the location of the slab\n"
+ ]
+ }
+ ],
+ "prompt_number": 67
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.6 Page no 651"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "c=3*10**8 #m s**-1\n",
+ "v=2.0*10**8 #m s**-1\n",
+ "t=6.0 #cm\n",
+ "\n",
+ "#Calculation\n",
+ "u=c/v\n",
+ "d=t*(1-(1/u))\n",
+ "\n",
+ "#Result\n",
+ "print\"An ink dot appear to be rasied\",d,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "An ink dot appear to be rasied 2.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 73
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.7 Page no 651"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "d=12.5 #cm\n",
+ "a=9.4 #cm\n",
+ "u=1.63\n",
+ "\n",
+ "#Calculation\n",
+ "S=d/a\n",
+ "S1=d/u\n",
+ "S3=a-S1\n",
+ "\n",
+ "#Result\n",
+ "print\"The refractive index of water is\",round(S,2)\n",
+ "print\"The refractive index of liquid is\",round(S1,2),\"cm\"\n",
+ "print\"Distance is\",round(S3,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The refractive index of water is 1.33\n",
+ "The refractive index of liquid is 7.67 cm\n",
+ "Distance is 1.73 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 84
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.8 Page no 651"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A=4/3.0\n",
+ "d=0.015 #m\n",
+ "\n",
+ "#Calculatiom\n",
+ "t=d/(1-(1/A))\n",
+ "\n",
+ "#Result\n",
+ "print\"The height upto which water must be poured into the beaker is\",t,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The height upto which water must be poured into the beaker is 0.06 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 91
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.9 Page no 652"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A=3/2.0\n",
+ "A1=4/3.0\n",
+ "t1=6\n",
+ "t2=4\n",
+ "\n",
+ "#Calculation\n",
+ "d1=t1*(1-(1/A))\n",
+ "d2=t2*(1-(1/A1))\n",
+ "d3=d1+d2\n",
+ "\n",
+ "#Result\n",
+ "print\"The apparent position of an object is\",d3,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The apparent position of an object is 3.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 102
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.10 Page no 652"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "S=1.5\n",
+ "W=1.33\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "A=S/W\n",
+ "C=1/A\n",
+ "Q=math.asin(C)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"The critical angle for a glass water interface is\",round(Q,0),\"degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The critical angle for a glass water interface is 62.0 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 124
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.11 Page no 652"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "I=40 #degree\n",
+ "A=15 #degree\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "r=I-A\n",
+ "u=(math.sin(40*3.14/180.0))/(math.sin(25*3.14/180.0))\n",
+ "c=1/u\n",
+ "A=math.asin(c)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"The critical angle is\",round(A,1),\"degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The critical angle is 41.1 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 123
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.12 Page no 652"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u=1.5\n",
+ "h=20\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "C=1/u\n",
+ "A=math.asin(C)*180/3.14\n",
+ "r=h*math.tan(A*3.14/180.0)\n",
+ "D=math.pi*r**2\n",
+ "\n",
+ "#Result \n",
+ "print\"The required surface area is\",round(D,1),\"cm**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The required surface area is 1005.3 cm**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 138
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.13 Page no 653"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A=60 #degree\n",
+ "B=1.45\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "I=1/(math.sin(A*3.14/180.0))\n",
+ "Z=B/I\n",
+ "\n",
+ "#Result\n",
+ "print\"The refractive index of the liquid is\",round(Z,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The refractive index of the liquid is 1.255\n"
+ ]
+ }
+ ],
+ "prompt_number": 143
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.14 Page no 653"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A=1.68\n",
+ "A1=1.44\n",
+ "A2=90 #degree\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "K=A/A1\n",
+ "C=1/K\n",
+ "Q=math.asin(C)*180/3.14\n",
+ "r=A2-Q\n",
+ "I=A*math.sin(r*3.14/180.0)\n",
+ "Q1=math.asin(I)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"Refraction index of glass fibre is\",round(Q1,0),\"degree\"\n",
+ "print\"All rays having angle of incidence between 0 degree to 60 degree will suffer total internal reflection\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Refraction index of glass fibre is 60.0 degree\n",
+ "All rays having angle of incidence between 0 degree to 60 degree will suffer total internal reflection\n"
+ ]
+ }
+ ],
+ "prompt_number": 161
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.15 Page no 653"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u1=1\n",
+ "u2=1.5\n",
+ "u=-10.0 #cm\n",
+ "v=-40.0 #cm\n",
+ "\n",
+ "#Calculation\n",
+ "R=(u2-u1)/((-u1/u)+(u2/v))\n",
+ "\n",
+ "#Result\n",
+ "print\"Radius of curvature is\", R,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Radius of curvature is 8.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 178
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.16 Page no 653"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u=-60.0 #cm\n",
+ "R=25.0 #cm\n",
+ "u1=1\n",
+ "u2=1.5\n",
+ "R1=0.25\n",
+ "\n",
+ "#Calculation\n",
+ "v=u2/(((u2-u1)/R)+(u1/u))\n",
+ "P=(u2-u1)/R1\n",
+ "\n",
+ "#Result\n",
+ "print\"Position of the image is\", v,\"cm\"\n",
+ "print\"Power of refracting surface is\",P,\"dioptre\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Position of the image is 450.0 cm\n",
+ "Power of refracting surface is 2.0 dioptre\n"
+ ]
+ }
+ ],
+ "prompt_number": 191
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.17 Page no 654 "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "U1=1.5\n",
+ "U2=1\n",
+ "\n",
+ "\n",
+ "#Calculation\n",
+ "x=(U1+U2)/(U1-U2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Distance of the object is\",x,\"R\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Distance of the object is 5.0 R\n"
+ ]
+ }
+ ],
+ "prompt_number": 194
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.18 Page no 654"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u1=1\n",
+ "u2=1.5\n",
+ "u=-10.0 #cm\n",
+ "R=-5.0 \n",
+ "\n",
+ "#Calculation\n",
+ "v=u1/((u1-u2)/R+(u2/u))\n",
+ "\n",
+ "#Result\n",
+ "print\"Position of the image is\",v,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Position of the image is -20.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 196
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.19 Page no 654"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u=1.5\n",
+ "R=-5.0 #cm\n",
+ "OC=2\n",
+ "\n",
+ "#Calculation\n",
+ "u1=R+OC\n",
+ "v=1/((1-u)/R+(u/u1))\n",
+ "\n",
+ "#Result\n",
+ "print\"Apparent position of the bubble is\", v,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Apparent position of the bubble is -2.5 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 202
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.20 Page no 654"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R=-0.02 #m\n",
+ "u=1.54\n",
+ "v=-0.01 #m\n",
+ "\n",
+ "#calculation\n",
+ "u1=-u/((1-u)/R-(1/v))\n",
+ "\n",
+ "#Result\n",
+ "print\"Real depth of bubble is\", round(u1,4),\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Real depth of bubble is -0.0121 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 206
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.21 Page no 655"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R=7.5 #cm\n",
+ "u=4/3.0\n",
+ "\n",
+ "#Calculation\n",
+ "v=1/((1-u)/R)\n",
+ "\n",
+ "#Result\n",
+ "print\"It get focussed at\",v,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "It get focussed at -22.5 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 213
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.22 Page no 655"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "u=1.55\n",
+ "f=20 #cm\n",
+ "\n",
+ "#Calculation\n",
+ "R=(u-1)*2*f\n",
+ "\n",
+ "#Result\n",
+ "print\"Radius of curvature is,\",R,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Radius of curvature is, 22.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 215
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.23 Page no 655"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u=1.5\n",
+ "f=0.3\n",
+ "\n",
+ "#Calculation\n",
+ "R=(u-1)*f\n",
+ "\n",
+ "#Result\n",
+ "print\"Radius of curvature is\", R,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Radius of curvature is 0.15 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 218
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.24 Page no 655"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=2.0\n",
+ "\n",
+ "#Calculation\n",
+ "u=(a+1)/a\n",
+ "\n",
+ "#Result\n",
+ "print\"Refractive index is\",u"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Refractive index is 1.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 219
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.25 Page no 655"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "ug=1.5\n",
+ "uc=1.63\n",
+ "R1=20.0 #cm\n",
+ "R2=-20.0\n",
+ "\n",
+ "#Calculation\n",
+ "fair=1/((ug-1)*(1/R1-1/R2))\n",
+ "ug1=ug/uc\n",
+ "fc=1/((ug1-1)*(1/R1-1/R2))\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length of the lens is\",round(fc,1),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length of the lens is -125.4 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 225
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.26 Page no 656"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "fair=0.2 #m\n",
+ "ug=1.50\n",
+ "uw=1.33\n",
+ "\n",
+ "#Calculation\n",
+ "R=1/(fair*(ug-1))\n",
+ "ug1=ug/uw\n",
+ "fw=1/((ug1-1)*R)\n",
+ "f=fw-fair\n",
+ "\n",
+ "#Result\n",
+ "print\"Change in focal length is\", round(f,2),\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Change in focal length is 0.58 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 234
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.27 Page no 656"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u1=1.2\n",
+ "u2=1.3\n",
+ "a=13.0\n",
+ "\n",
+ "#Calculation\n",
+ "u=u1/u2\n",
+ "f=1/((-1/a)*(1/(u1-1)))\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length is\", f,\"f\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length is -2.6 f\n"
+ ]
+ }
+ ],
+ "prompt_number": 237
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.28 Page no 656"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "f=20.0 #cm\\\n",
+ "u=12.0\n",
+ "f1=-20.0\n",
+ "\n",
+ "#Calculation\n",
+ "v=1/(1/f+1/u)\n",
+ "v1=1/(1/f1+1/u)\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Beam will converge at a point of distant\",v,\"cm\"\n",
+ "print\"(b) Beam will converge at a point of distant\",v1,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Beam will converge at a point of distant 7.5 cm\n",
+ "(b) Beam will converge at a point of distant 30.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 244
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.29 Page no 656"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "f=-0.2 #m\n",
+ "v=0.3 #m\n",
+ "\n",
+ "#Calculation\n",
+ "u=1/(1/v-1/f)\n",
+ "\n",
+ "#Result\n",
+ "print\"The position of the point is\",u,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The position of the point is 0.12 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 249
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.30 Page no 656"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "f=10.0 #cm\n",
+ "c=20 #cm\n",
+ "o=5.0\n",
+ "\n",
+ "#Calculation\n",
+ "u=-(c-o)\n",
+ "u1=-(c+o)\n",
+ "v1=1/((1/f)+(1/u))\n",
+ "v2=1/((1/f)+(1/u1))\n",
+ "v=v1-v2\n",
+ "\n",
+ "#Result\n",
+ "print\"Length of image of needle is\", round(v,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Length of image of needle is 13.33 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 273
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.31 Page no 657"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u=-30.0\n",
+ "v=20.0\n",
+ "R1=10.0\n",
+ "R2=-15.0\n",
+ "ug1=1.33\n",
+ "\n",
+ "#Calculation\n",
+ "f=1/(-1/u+1/v)\n",
+ "ug=(1/f+1/6.0)*6.0\n",
+ "fw=1/(((ug/ug1)-1)*(1/R1-1/R2))\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length of the lens is\", f,\"cm\"\n",
+ "print\"Focal length of the lens is\",round(fw,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length of the lens is 12.0 cm\n",
+ "Focal length of the lens is 46.94 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 289
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.32 Page no 657"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "f=0.12\n",
+ "m=-3.0\n",
+ "\n",
+ "#Calculation\n",
+ "u=(f/m)-f\n",
+ "\n",
+ "#Result\n",
+ "print\"Distance between object and lens is\", u,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Distance between object and lens is -0.16 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 292
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.33 Page no 657"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=-19.0\n",
+ "v=10\n",
+ "\n",
+ "#Calculation\n",
+ "f=v/(-m+1)\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length of the lens is\",f,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length of the lens is 0.5 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 296
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.34 Page no 657"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=4\n",
+ "f=20\n",
+ "\n",
+ "#Calculation\n",
+ "u=m+1-f\n",
+ "v=f-(m*f)\n",
+ "\n",
+ "#Result\n",
+ "print\"Object is at\", u,\"cm\"\n",
+ "print\"Image is at\",v,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Object is at -15 cm\n",
+ "Image is at -60 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 301
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.35 Page no 657"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "O=5 #cm\n",
+ "u=-45.0 #cm\n",
+ "v=90.0\n",
+ "\n",
+ "#Calculation\n",
+ "f=-1/(1/u-1/v)\n",
+ "I=v*O/u\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length is\", f,\"cm\"\n",
+ "print\"size of the image is\",I,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length is 30.0 cm\n",
+ "size of the image is -10.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 309
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.36 Page no 658"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "O=3 #cm\n",
+ "u=-14.0\n",
+ "f=-21.0\n",
+ "\n",
+ "#Calculation\n",
+ "v=1/(1/f+1/u)\n",
+ "I=O*v/u\n",
+ "\n",
+ "#Result\n",
+ "print\"Image produced by the lens is\",I,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Image produced by the lens is 1.8 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.37 Page no 658"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=0.20\n",
+ "R2=-0.2\n",
+ "u=1.5\n",
+ "u1=1.25\n",
+ "\n",
+ "#Calculation\n",
+ "P1=(u-1)*(1/R1-1/R2)\n",
+ "u2=u/u1\n",
+ "P2=(u2-1)*(-1/R2-1/R2)\n",
+ "P=P1/P2\n",
+ "\n",
+ "#Result\n",
+ "print\"Ratio of power of lens is\", P"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Ratio of power of lens is 2.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.38 Page no 658"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "f1=15.0 #cm\n",
+ "f2=30.0\n",
+ "\n",
+ "#Calculation\n",
+ "f=1/(1/f1+1/f2)\n",
+ "P=1/f\n",
+ "\n",
+ "#Result\n",
+ "print\"Power is\",f*10**-2,\"m\"\n",
+ "print\"Focal length is\",P*10**2,\"D\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Power is 0.1 m\n",
+ "Focal length is 10.0 D\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.39 Page no 658"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "P1=-1.5 #D\n",
+ "P2=2.75\n",
+ "\n",
+ "#Calculation\n",
+ "P=P1+P2\n",
+ "f=1/P\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length is\",f,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length is 0.8 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 18
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.40 Page no 659"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=0.11\n",
+ "a1=0.07\n",
+ "\n",
+ "#Calculation\n",
+ "x=a-a1\n",
+ "u=(a1-0.01)/x\n",
+ "\n",
+ "#Result\n",
+ "print\"Refractive index is\",u"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Refractive index is 1.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 24
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.41 Page no 659"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=70 #Degree\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "a=1/(math.sin(a*3.14/180.0))\n",
+ "a1=math.atan(a)*180/3.14\n",
+ "u=1/math.sin(a1*3.14/180.0)\n",
+ "\n",
+ "#Result\n",
+ "print\"Critical angle is\", round(u,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Critical angle is 1.372\n"
+ ]
+ }
+ ],
+ "prompt_number": 29
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.42 Page no 659"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=180 #degree\n",
+ "b=90\n",
+ "c=45\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "r=a-(b+c)\n",
+ "A=1.352*math.sin(r*3.14/180.0)\n",
+ "A1=math.asin(A)*180/3.14\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Angle of incidence is sin-1[(math.sqrt(u**2-u1**2)-u1)/math.sqrt(2)]\"\n",
+ "print\"(b) Angle of incidence at face AB is\",round(A1,0),\"Degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Angle of incidence is sin-1[(math.sqrt(u**2-u1**2)-u1)/math.sqrt(2)]\n",
+ "(b) Angle of incidence at face AB is 73.0 Degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 34
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.43 Page no 660"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "u=40.0 #cm\n",
+ "R=10.0\n",
+ "u1=1\n",
+ "u2=1.5\n",
+ "\n",
+ "\n",
+ "#Calculation\n",
+ "v=u2/(((u2-u1)/R)+(u1/u))\n",
+ "\n",
+ "#Result\n",
+ "print\"Position of the image is\", v,\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Position of the image is 20.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 38
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.44 Page no 660"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "x=0.04\n",
+ "y=8/300.0\n",
+ "u=-0.04\n",
+ "v=-16/500.0\n",
+ "\n",
+ "#Calculation\n",
+ "U=x/y\n",
+ "R=(1-U)/(-U/u+1/v)\n",
+ "f=1/((U-1)/R)\n",
+ "\n",
+ "print\"(i) Refractive index is\",U\n",
+ "print\"(ii) Radius of curvature is\",R,\"m\"\n",
+ "print\"(iii) Focal length is\",f,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(i) Refractive index is 1.5\n",
+ "(ii) Radius of curvature is -0.08 m\n",
+ "(iii) Focal length is -0.16 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 53
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.46 Page no 661"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "OI=90.0 #cm\n",
+ "O1O2=20\n",
+ "x=35 #cm\n",
+ "\n",
+ "#Calculation\n",
+ "f=(OI-x)*x/((OI-x)+x)\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length of the lens is\", round(f,1),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length of the lens is 21.4 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 71
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.47 Page no 662"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=-4\n",
+ "a=1.5\n",
+ "u=0.3\n",
+ "\n",
+ "#Calculation\n",
+ "x=a/(-m+1)\n",
+ "v=a-u\n",
+ "f=1/(1/u+1/v)\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length of the lens is\", f,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length of the lens is 0.24 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 61
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.48 Page no 662"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "P1=8.0 #dioptre\n",
+ "P2=2.0\n",
+ "\n",
+ "#Calculation\n",
+ "f1=1/P1\n",
+ "f2=1/P2\n",
+ "\n",
+ "#Result\n",
+ "print\"Focal length of lens 1 is\",f1,\"m\"\n",
+ "print\"Focal length of lens 2 is\",f2,\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Focal length of lens 1 is 0.125 m\n",
+ "Focal length of lens 2 is 0.5 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 66
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |