From d36fc3b8f88cc3108ffff6151e376b619b9abb01 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- modern_physics_by_Satish_K._Gupta/chap21.ipynb | 1809 ------------------------ 1 file changed, 1809 deletions(-) delete mode 100755 modern_physics_by_Satish_K._Gupta/chap21.ipynb (limited to 'modern_physics_by_Satish_K._Gupta/chap21.ipynb') 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 -- cgit