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diff --git a/modern_physics_by_Satish_K._Gupta/chap21.ipynb b/modern_physics_by_Satish_K._Gupta/chap21.ipynb deleted file mode 100755 index 54cafbe9..00000000 --- a/modern_physics_by_Satish_K._Gupta/chap21.ipynb +++ /dev/null @@ -1,1809 +0,0 @@ -{
- "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 |