{ "metadata": { "name": "", "signature": "sha256:487f66e71ac79d9579f4a8e998f21bc6fadb0986ba14ee5d89b77699b48cadee" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 28 Particle nature of radiation" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.1 Page no 801" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "l=4950.0*10**-10\n", "h=6.6*10**-34 #js\n", "c=3*10**8 #m/s\n", "\n", "#Calculation\n", "E=(h*c/l)/(1.6*10**-19)\n", "\n", "#Result\n", "print\"Energy of each photon is\",E,\"eV\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Energy of each photon is 2.5 eV\n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.2 Page no 801" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "E=6.62 #J\n", "v=10**12 #Hz\n", "h=6.62*10**-34\n", "\n", "#Calculation\n", "E1=h*v\n", "n=E/(h*v)\n", "\n", "#Result\n", "print\"Number of photons is\",n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Number of photons is 1e+22\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.3 Page no 801" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "h=6.62*10**-34 #js\n", "c=3*10**8 #m/s\n", "Iev=1.6*10**-19 #J\n", "V=10**6 #hz\n", "V1=5890*10**-10 #m\n", "L=10.0**-10 #m\n", "\n", "#Calculation\n", "E=h*v\n", "E1=E/Iev\n", "A=(h*c)/V1\n", "A1=A/Iev\n", "B=(h*c)/L\n", "B1=B/Iev\n", "\n", "#Result\n", "print\"(i) The energy of a photon with frequency 1000 Khz is\",round(E1*10**3,2),\"10**-9\",\"ev\" \n", "print\"(ii) The energy of a photon when wavelength is 5890A is\",round(A1,2) ,\"eV\"\n", "print\"(iii) The energy of a photon when wavelength is 1 A is\", B1,\"eV\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) The energy of a photon with frequency 1000 Khz is 4.14 10**-9 ev\n", "(ii) The energy of a photon when wavelength is 5890A is 2.11 eV\n", "(iii) The energy of a photon when wavelength is 1 A is 12412.5 eV\n" ] } ], "prompt_number": 38 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.4 Page no 801" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "l=0.66*10**-10 #m\n", "h=6.62*10**-34 #Js\n", "c=3*10**8 #m/s\n", "\n", "#Calculation\n", "E=((h*c)/l)/(1.6*10**-19)\n", "\n", "#Result\n", "print\"(a) Maximum energy of photon is\",round(E*10**-3,2),\"Kev\"\n", "print\"(b) To produce electrons of energy 18.81 Kev,accelerating potential of 18.81 KV\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a) Maximum energy of photon is 18.81 Kev\n", "(b) To produce electrons of energy 18.81 Kev,accelerating potential of 18.81 KV\n" ] } ], "prompt_number": 45 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.5 Page no 801" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "E=10.2*10**9 #ev\n", "h=6.62*10**-34\n", "c=3*10**8\n", "\n", "#Calculation\n", "E1=(E/2.0)*(1.6*10**-19)\n", "l=(h*c)/E1\n", "\n", "#Result\n", "print\"Wavelength is\",round(l*10**16,3),\"10**-16\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Wavelength is 2.434 10**-16\n" ] } ], "prompt_number": 60 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.6 Page no 802" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "L=3500.0*10**-10 #m\n", "h=6.62*10**-34\n", "c=3*10**8\n", "\n", "#Calculation\n", "Hv=h*c/(L*(1.6*10**-19))\n", "\n", "#Result\n", "print\"Energy of incident light is\", round(Hv,3),\"eV \\nMetal B will yield photoelectrons.\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Energy of incident light is 3.546 eV \n", "Metal B will yield photoelectrons.\n" ] } ], "prompt_number": 75 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.7 Page no 802" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "l=6000.0*10**-10 #m\n", "h=6.62*10**-34 #Js\n", "e=1.6*10**-19\n", "c=3*10**8\n", "\n", "#Calculation\n", "v0=c/l\n", "w=(h*v0)/e\n", "\n", "#Result\n", "print\"(i) Threshold frequency is\", v0,\"Hz\"\n", "print\"(ii) Work function is\",round(w,3),\"eV\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Threshold frequency is 5e+14 Hz\n", "(ii) Work function is 2.069 eV\n" ] } ], "prompt_number": 83 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.8 Page no 802" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "w=1.2*1.6*10**-19\n", "l=5000.0*10**-10\n", "c=3*10**8\n", "h=6.62*10**-34\n", "e=1.6*10**-19\n", "\n", "#Calculation\n", "A=((h*c)/l)-w\n", "V0=A/e\n", "\n", "#Result\n", "print\"Stopping potential is\", round(V0,2),\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Stopping potential is 1.28 V\n" ] } ], "prompt_number": 90 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.9 Page no 802" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "h=6.6*10**-34 #Js\n", "e=1.6*10**-19\n", "l=500.0*10**-9 #m\n", "\n", "#Calculation\n", "w=2*e\n", "l0=(h*c)/w\n", "E=((h*c)/l)-w\n", "v0=E/e\n", "\n", "#Result\n", "print\"(i) The threshold wavelength is\", l0*10**9,\"nm\"\n", "print\"(ii) Maximum energy is\",E*10**19,\"*10**-19 J\"\n", "print\"(iii) The stopping potential is\",v0,\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) The threshold wavelength is 618.75 nm\n", "(ii) Maximum energy is 0.76 *10**-19 J\n", "(iii) The stopping potential is 0.475 V\n" ] } ], "prompt_number": 104 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.10 Page no 802" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "V0=1.3\n", "l=2271*10**-10\n", "h=6.62*10**-34\n", "e=1.6*10**-19\n", "c=3*10**8\n", "\n", "#Calculation\n", "w=(h*c/l)-(V0*e)\n", "l0=(h*c)/w\n", "\n", "#Result\n", "print\"Work function of metal is\", round(l0*10**10,0),\"A\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Work function of metal is 2980.0 A\n" ] } ], "prompt_number": 109 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.11 Page no 803" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "h=6.62*10**-34\n", "c=3*10**8\n", "l=640.2*10**-9\n", "e=1.6*10**-19\n", "V0=0.54\n", "l1=427.2*10**-9\n", "\n", "#Calculation\n", "w=(h*c/l)-(e*V0)\n", "v0=(((h*c)/l1)-w)/e\n", "\n", "#Result\n", "print\"New stopping voltage is\", round(v0,3),\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "New stopping voltage is 1.507 V\n" ] } ], "prompt_number": 115 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.12 Page no 803" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "l=5600.0*10**-10 #m\n", "h=6.625*10**-34\n", "c=3*10**8\n", "a=5\n", "\n", "#Calculation\n", "E=h*c/l\n", "n=a/E\n", "\n", "#Result\n", "print\"Number of visible light photon is\", round(n*10**-19,2)*10**-19" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Number of visible light photon is 1.41e-19\n" ] } ], "prompt_number": 121 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.13 Page no 803" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "E=10**4 #W\n", "l=500.0 #m\n", "h=6.62*10**-34\n", "A=0.4*10**-14 #m**2\n", "i=10**-10 #W/m**2\n", "v=6*10**14\n", "\n", "#Calculation\n", "E1=E*l/(h*c)\n", "E2=h*v\n", "n=A/E2\n", "\n", "#Result\n", "print\"(i) Number of photons emitted is\",round(E1*10**-31,3)*10**31\n", "print\"(ii) Number of photons is\", round(n*10**-4,0),\"*10**4\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Number of photons emitted is 2.518e+31\n", "(ii) Number of photons is 1.0 *10**4\n" ] } ], "prompt_number": 132 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 28.14 Page no 803" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "A=2*10**-4 #m**2\n", "An=10.0**-20\n", "n1=5\n", "i=10**-5 #W/m**2\n", "\n", "#Calculation\n", "n=(A*n1)/An\n", "E=i*A\n", "E1=(E/n)/e\n", "t=2/E1\n", "\n", "#Result\n", "print\"Time required for the photoelectric emission is\",t*10**-7,\"*10**7 S\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Time required for the photoelectric emission is 1.6 *10**7 S\n" ] } ], "prompt_number": 145 } ], "metadata": {} } ] }