{ "metadata": { "name": "", "signature": "sha256:efdc68d7aa35d22a94f64e5e8f01516d21c5f3fcea362a5520b7b1d532197f7c" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 25 Nuclei" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.1 Page no 1312" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "R0=1.2*10**-15 #m\n", "A=208\n", "A1=16\n", "\n", "#calculation\n", "R=R0*A**0.33\n", "R1=R0*A1**0.33\n", "\n", "#Result\n", "print\"Nuclear radius of lead is\", round(R*10**15,1),\"fm\"\n", "print\"Nuclear radius of oxygen is\", round(R1*10**15,0),\"fm\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Nuclear radius of lead is 7.0 fm\n", "Nuclear radius of oxygen is 3.0 fm\n" ] } ], "prompt_number": 17 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.2 page no1312" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "me=9.1*10**-31\n", "c=3*10**8\n", "e=1.6*10**-19\n", "mp=1.673*10**-27\n", "mn=1.675*10**-27\n", "\n", "#Calculation\n", "E=(me*c**2)/e\n", "E1=(mp*c**2)/e\n", "E2=(mn*c**2)/e\n", "\n", "#Result\n", "print\"(i) Equivalent energy of electron is\",round(E*10**-6,2),\"Mev\"\n", "print\"(ii) Equivalent energy of proton is\",round(E1*10**-6,1),\"Mev\"\n", "print\"(iii) Equivalent energy of neutron is\",round(E2*10**-6,1),\"Mev\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Equivalent energy of electron is 0.51 Mev\n", "(ii) Equivalent energy of proton is 941.1 Mev\n", "(iii) Equivalent energy of neutron is 942.2 Mev\n" ] } ], "prompt_number": 27 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.3 Page no 1312" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "m=10**-3 #m\n", "c=3*10**8 #m/s\n", "a=3.6*10**6 #J\n", "\n", "#Calculation\n", "E=(m*c**2)/a\n", "\n", "#Result\n", "print E*10**-7,\"*10**7 KWh\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "2.5 *10**7 KWh\n" ] } ], "prompt_number": 30 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.4 Page no 1313" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Z=17\n", "A=35\n", "Z1=92\n", "A1=235\n", "Z2=4\n", "A2=9\n", "\n", "#Calculation\n", "n=A-Z\n", "n1=A1-Z1\n", "n2=A2-Z2\n", "\n", "#Calculation\n", "print\"Number of neutron in 17Cl35 is\",n\n", "print\"Number of neutron in 92U235 is\",n1\n", "print\"Number of neutron in 4Be9 is\",n2" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Number of neutron in 17Cl35 is 18\n", "Number of neutron in 92U235 is 143\n", "Number of neutron in 4Be9 is 5\n" ] } ], "prompt_number": 33 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.5 Page no 1313" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "A2=235\n", "A1=16.0\n", "R1=3*10**-15 #m\n", "\n", "#Calculation\n", "R=(A2/A1)**0.33\n", "R2=R*R1\n", "\n", "#Result\n", "print\"Nuclear radius is\", round(R2*10**15,3),\"fermi\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Nuclear radius is 7.281 fermi\n" ] } ], "prompt_number": 39 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.6 Page no 1313" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "me=55.85\n", "u=1.66*10**-27 #Kg\n", "R=1.2*10**-15 \n", "\n", "#Calculation\n", "import math\n", "m=me*u\n", "a=(3*u)/(4.0*math.pi*R**3)\n", "\n", "#Result\n", "print\"Nuclear density is\", round(a*10**-17,2)*10**17,\"Kg/m**3\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Nuclear density is 2.29e+17 Kg/m**3\n" ] } ], "prompt_number": 45 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.7 Page no 1317" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "M=4.001509 #a.m.u\n", "N=1.008666\n", "N1=1.007277\n", "a=1.66*10**-27\n", "c=3*10**8\n", "e=1.6*10**-19\n", "n=4.0\n", "\n", "#Calculation\n", "A=2*N1+2*N\n", "M1=A-M\n", "Eb=M1*a*c**2/e\n", "B=Eb/n\n", "\n", "#Result\n", "print\"(i) Mass defect is\",M1,\"a.m.u\"\n", "print\"(ii) Binding energy is\",round(Eb*10**-6,1),\"Mev\"\n", "print\" Binding energy per nucleon is\",round(B*10**-6,2),\"Mev\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Mass defect is 0.030377 a.m.u\n", "(ii) Binding energy is 28.4 Mev\n", " Binding energy per nucleon is 7.09 Mev\n" ] } ], "prompt_number": 61 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.8 Page no 1317" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "ma=1.00893\n", "m1=1.00813\n", "m2=2.01473\n", "a=931.5\n", "a1=4.00389\n", "\n", "#Calculation\n", "m=ma+m1-m2\n", "Eb=m*a\n", "m3=2*ma+2*m1-a1\n", "Eb1=m3*a\n", "\n", "#Result\n", "print\"(i) Binding energy when one neutron and one proton combined together is\", round(Eb,2),\"Mev\"\n", "print\"(ii) Binding energy when two neutrons and two protons are combined is\",round(Eb1,1) ,\"Mev\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Binding energy when one neutron and one proton combined together is 2.17 Mev\n", "(ii) Binding eergy when two neutrons and two protons are combined is 28.2 Mev\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.10 Page no 1318" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=1.66*10**-27 #Kg\n", "c=3*10**8\n", "mp=1.00727\n", "mn=1.00866\n", "mo=15.99053\n", "\n", "#Calculation\n", "E=(a*c**2)/1.6*10**-19\n", "m1=8*mp+8*mn-mo\n", "a1=m1*E\n", "\n", "#Result\n", "print\"Energy equivalent of one atomic mass unit is\", round(a1*10**32,1),\"Mev/c**2\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Energy equivalent of one atomic mass unit is 127.8 Mev/c**2\n" ] } ], "prompt_number": 14 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.11 Page no 1318" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "mp=1.007825\n", "mn=1.008665\n", "m=39.962589\n", "a2=931.5\n", "Z=40.0\n", "\n", "#Calculation\n", "E=20*mp+20*mn\n", "m1=E-m\n", "Eb=m1*a2\n", "B=Eb/Z\n", "\n", "#Result\n", "print\"Binding energy per nucleon is\", round(B,3),\"Mev/nucleon\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Binding energy per nucleon is 8.551 Mev/nucleon\n" ] } ], "prompt_number": 21 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.12 Page no 1330" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "t=5000 #Days\n", "t1=2000.0\n", "a=0.693 \n", "\n", "#Calculation\n", "import math\n", "dt=(a*t)/t1\n", "N=math.log10(dt)\n", "l=a*N/(t1)\n", "\n", "#Result\n", "print\"(i) The fraction remaining after 5000 days is\", round(N,3)\n", "print\"(ii) The activity of sample after 5000 days is\",round(l*10**5,1),\"*10**8 Bq\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) The fraction remaining after 5000 days is 0.239\n", "(ii) The activity of sample after 5000 days is 8.3 *10**8 Bq\n" ] } ], "prompt_number": 42 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.13 Page no 1330" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "N=3.67*10**10 #dis/second\n", "r=226.0\n", "A=6.023*10**23\n", "\n", "#Calculation\n", "n=A/r\n", "l=N/n\n", "D=0.693/l\n", "a=D/(3600.0*24.0*365.0)\n", "\n", "#Result\n", "print\" Half life of radium is\",round(a,0),\"years\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Half life of radium is 1596.0 years\n" ] } ], "prompt_number": 48 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.14 page no 1330" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "N0=475\n", "N=270.0\n", "t=5.0\n", "\n", "#Calculation\n", "import math\n", "a=N0/N\n", "l=math.log(a)/t\n", "T=1/l\n", "T1=0.693/l\n", "\n", "#Result\n", "print\"(i) The decay constant is\",round(l,3),\"/minute\"\n", "print\"(ii) Mean life is\",round(T,2),\"minute\"\n", "print\"(iii) Half life is\",round(T1,2),\"minute\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) The decay constant is 0.113 /minute\n", "(ii) Mean life is 8.85 minute\n", "(iii) Half life is 6.13 minute\n" ] } ], "prompt_number": 55 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.15 page no 1331" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "t=1500\n", "N=0.01\n", "N0=0.999\n", "\n", "#Calculation\n", "import math\n", "T=t*math.log(N)/math.log(0.5)\n", "T1=t*math.log(N0)/math.log(0.5)\n", "\n", "#Result\n", "print\"(i) Years will reduce to 1 centigram is\",round(T,1),\"years\"\n", "print\"(ii) Years will lose 1 mg is\",round(T1,2),\"years\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Years will reduce to 1 centigram is 9965.8 years\n", "(ii) Years will lose 1 mg is 2.17 years\n" ] } ], "prompt_number": 61 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.16 page no 1331" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=2*10**12\n", "b=9.0*10**12\n", "T=80\n", "\n", "#Calculation\n", "import math\n", "c=math.log(a/b)\n", "t=-(c*T)/0.693\n", "\n", "#Result\n", "print\"Time required is\",round(t,0),\"second\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Time required is 174.0 second\n" ] } ], "prompt_number": 66 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.17 page no 1332" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "T=6.0\n", "A=6.023*10**23\n", "W=99.0\n", "\n", "#Calculation\n", "import math\n", "l=0.693/T\n", "N0=A*10**-12/W\n", "A0=l*N0\n", "N=N0*(1/math.log10(l))\n", "A1=-(l*N)\n", "\n", "\n", "#Result\n", "print\" Activity in the beginning and after one hour\",round(A1*10**-8,3),\"/h\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Activity in the beginning and after one hour 7.496 /h\n" ] } ], "prompt_number": 80 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.18 page no 1332" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "T=30.0\n", "\n", "#Calculation\n", "import math\n", "l=0.693/T\n", "T1=1/l\n", "t=math.log(4)/l\n", "t1=math.log(8)/l\n", "\n", "#Result\n", "print\"(i) average life is\",round(l,4),\"/day\"\n", "print\"(ii) The time taken for 3/4 of the original no. to disintegrate is\",round(T1,2),\"days\"\n", "print\"(iii) Time taken is\",round(t,0),\"days\"\n", "print\"(iv) Time taken is\",round(t1,0),\"days\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) average life is 0.0231 /day\n", "(ii) The time taken for 3/4 of the original no. to disintegrate is 43.29 days\n", "(iii) Time taken is 60.0 days\n", "(iv) Time taken is 90.0 days\n" ] } ], "prompt_number": 93 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.19 page no 1332" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "l=1620.0\n", "l1=405.0\n", "\n", "#Calculation\n", "import math\n", "T=(1/l)+(1/l1)\n", "t=math.log(4)/T\n", "\n", "#Result\n", "print\"The time during which three-fourths of a sample will decay is\",round(t,0),\"years\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The time during which three-fourths of a sample will decay is 449.0 years\n" ] } ], "prompt_number": 99 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.20 page no 1333" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C=3.7*10**10 #disintegrations/s\n", "A=6.02*10**23\n", "B=234\n", "\n", "#Calculation\n", "D=(C*B)/A\n", "\n", "#Result \n", "print\"Mass ofuranium atoms disintegrated per second is\",round(D*10**11,3)*10**-11,\"g\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Mass ofuranium atoms disintegrated per second is 1.438e-11 g\n" ] } ], "prompt_number": 105 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.21 page no 1333" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "M=0.075 #kg /mol\n", "m=1.2*10**-6 #kg\n", "A=6.0*10**23 #/mol\n", "t=9.6*10**18\n", "N=170\n", "\n", "#Calculation\n", "n=(A*m)/M\n", "l=N/t\n", "T=0.693/l\n", "\n", "#Result\n", "print\"Number of K-40 atoms in the sample is\", n\n", "print\"Half life of K-40 is\", round(T/(24.0*3600.0*365)*10**-9,3),\"*10**9 years\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Number of K-40 atoms in the sample is 9.6e+18\n", "Half life of K-40 is 1.241 *10**9 years\n" ] } ], "prompt_number": 122 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.22 Page no 1337" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "mp=232.03714\n", "mn=228.02873\n", "m0=4.002603\n", "a=931.5\n", "A=232.0\n", "e=1.6*10**-19\n", "m=1.66*10**-27\n", "\n", "#Calculation\n", "M=mp-mn-m0\n", "Q=M*a\n", "K=(A-4)*Q/A\n", "S=math.sqrt((2*K*e)/(4.0*m))\n", "\n", "#Result\n", "print\"(i) Kinetic energy is\", round(K,1),\"Mev\"\n", "print\"(ii) Speed of particle is\", round(S*10**-4,1),\"*10**7 m/s\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Kinetic energy is 5.3 Mev\n", "(ii) Speed of particle is 1.6 *10**7 m/s\n" ] } ], "prompt_number": 139 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.23 Page no 1337" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "b=238\n", "c=206\n", "d=92\n", "e=82\n", "\n", "#Calculation\n", "a=(b-c)/4.0\n", "A=-d+(2*a)+e\n", "\n", "#Result\n", "print\"(i) The emission of alpha particle will reduce the mass number by 4a and charge number by 2a\"\n", "print\"(ii) Number of alpha particle is\", a\n", "print\"Number of beta particle is\",A" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) The emission of alpha particle will reduce the mass number by 4a and charge number by 2a\n", "(ii) Number of alpha particle is 8.0\n", "Number of beta particle is 6.0\n" ] } ], "prompt_number": 145 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.24 Page no 1338" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=218\n", "b=84\n", "\n", "#Calculation\n", "A=a-4\n", "Z=b-2\n", "\n", "#Result\n", "print\"Atomic number of new element formed is\", A\n", "print\"Mass number of new element formed is\",Z" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Atomic number of new element formed is 214\n", "Mass number of new element formed is 82\n" ] } ], "prompt_number": 148 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.27 Page no 1340" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "mp=10.016125\n", "mn=4.003874\n", "mp1=13.007490\n", "mn1=1.008146\n", "a=931.5\n", "\n", "#Calculation\n", "Mr=mp+mn\n", "Mp=mp1+mn1\n", "Md=Mr-Mp\n", "A=a*Md\n", "\n", "#Result\n", "print\"Energy released in the reaction is\",round(A,3),\"Mev\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Energy released in the reaction is 4.064 Mev\n" ] } ], "prompt_number": 154 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.28 Page no 1345" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=10**6 #J/s\n", "E=200*10**6*1.6*10**-19\n", "\n", "#Calculation\n", "N=a/E\n", "\n", "#Result\n", "print\"Number of fission per second is\", round(N*10**-16,2)*10**16" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Number of fission per second is 3.13e+16\n" ] } ], "prompt_number": 159 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.29 Page no 1345" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "P=3*10**8 #W\n", "E=200*10**6*1.6*10**-19\n", "a=235\n", "m=6.023*10**23\n", "\n", "#Calculation\n", "E1=P*3600\n", "N=E1/E\n", "M1=(a*N)/m\n", "\n", "#Result\n", "print\"Mass of uranium fissioned per hour is\", round(M1,2),\"g\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Mass of uranium fissioned per hour is 13.17 g\n" ] } ], "prompt_number": 166 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.30 Page no 1345" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "m=6.023*10**26\n", "a=235.0\n", "t=30 #Days\n", "E=200*10**6*1.6*10**-19\n", "\n", "#Calculation\n", "N=(2/a)*m\n", "A=N/(t*24*60.0*60.0)\n", "P=E*A\n", "\n", "#Result\n", "print\"Power output is\", round(P*10**-6,1),\"Mev\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Power output is 63.3 Mev\n" ] } ], "prompt_number": 173 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.31 Page no 1348" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "m=1.0076\n", "mp=4.0039\n", "a=931.5*10**6 #ev\n", "\n", "#Calculation\n", "Mr=4*m\n", "Md=Mr-mp\n", "E=Md*a*1.6*10**-19\n", "\n", "#Result\n", "print\"Energy released is\", round(E*10**13,2)*10**-13,\"J\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Energy released is 3.95e-12 J\n" ] } ], "prompt_number": 181 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 25.32 Page no 1349" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=6*10**-3 #Kg\n", "c=3*10**8\n", "\n", "#Calculation\n", "E=a*c**2\n", "\n", "#Result\n", "print\"Energy liberated is\", E,\"J\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Energy liberated is 5.4e+14 J\n" ] } ], "prompt_number": 184 } ], "metadata": {} } ] }