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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 5: Nuclear Physics"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.1: Mass_defect_of_He.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex5.1 :: Page-5.2 (2009)\n",
+"clc;clear;\n",
+"m_p = 1.007826; // Mass of a proton, amu\n",
+"m_n = 1.008665; // Mass of a neutron, amu\n",
+"M_He = 4.002604; // Measured mass of He nucleuc, amu\n",
+"delta_m = 2*m_p+2*m_n - M_He; // Mass defect of He, amu\n",
+"printf('\nThe mass defect of He = %f amu', delta_m);\n",
+"\n",
+"// Result\n",
+"// The mass defect of He = 0.030378 amu "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.3: Maximum_energy_of_proton_in_a_cyclotron.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex5.3 :: Page-5.16 (2009)\n",
+"clc;clear;\n",
+"B = 0.70; // Magnetic field of cyclotron, weber/metre square\n",
+"q = 1.6e-019; // Charge of the proton, C\n",
+"R = 3; // Radius of Dee's, m\n",
+"m = 1.67e-027; // Mass of the proton, kg\n",
+"E_max = B^2*q^2*R^2/(2*m); // Maximum energy of the proton in the cyclotron, joule\n",
+"printf('\nThe maximum energy of the proton in the cyclotron = %4.2e MeV', E_max/1.6e-013);\n",
+"\n",
+"// Result\n",
+"// The maximum energy of the proton in the cyclotron = 2.11e+02 MeV \n",
+"// The unit has been given wrong in the textbook. It should be MeV instead of eV"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.4: Energy_of_an_electron_in_a_betatron.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex5.4 :: Page-5.20 (2009)\n",
+"clc;clear;\n",
+"f = 1e+06; // Frequency of revolution of electron, Hz\n",
+"rate_phi_B = 25; // Rate of change of magnetic flux, wb/s\n",
+"E = f*rate_phi_B; // Energy of 'f' revolutios, eV\n",
+"printf('\nThe energy of the electron in Betatron after %g revolutions = %3.1e eV', f, E);\n",
+"\n",
+"// Result\n",
+"// The energy of the electron in Betatron after 1e+06 revolutions = 2.5e+07 eV "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.5: Final_energy_gained_by_electrons_in_a_betatron.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex5.5 :: Page-5.20 (2009)\n",
+"clc;clear;\n",
+"e = 1.6e-019; // Charge on an electron, C\n",
+"D = 2.0; // Diameter of the stable orbit in betatron, m\n",
+"R = D/2; // Radius of the stable orbit in betatron, m\n",
+"B = 0.5; // Magnetic field of betatron, wb/metre square\n",
+"c = 3e+08; // final speed of electron in betatron, m/s\n",
+"E = B*e*R*c; // Final energy gained by electrons in a betatron, eV\n",
+"printf('\nThe final energy gained by electrons in the betatron = %3.1e eV', E/e);\n",
+"\n",
+"// Result\n",
+"// The final energy gained by electrons in the betatron = 1.5e+08 eV "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.6: Energy_produced_in_fission_of_U235.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex5.6 :: Page-5.27 (2009)\n",
+"clc;clear;\n",
+"e = 1.6e-019; // Energy equivalent of 1 eV, J/eV\n",
+"A = 235; // Atomic weight of uranium, gm/mol\n",
+"N_A = 6.023e+026; // No. of atoms present in 235 kg of uranium\n",
+"N = N_A/(A*1000); // No. of nuceli of uranium per gram\n",
+"E = N*200; // Energy produced by 1 g of U-235, MeV\n",
+"printf('\nThe energy produced by 1 g of U-235 = %3.1e joule', E*e*1e+06);\n",
+"\n",
+"// Result\n",
+"// The energy produced by 1 g of U-235 = 8.2e+10 joule "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.7: Power_output_of_nuclear_reactor.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex5.7 :: Page-5.32 (2009)\n",
+"clc;clear;\n",
+"A = 235; // Atomic weight of uranium, gm/mol\n",
+"N_A = 6.023e+026; // No. of atoms present in 235 kg of uranium-235\n",
+"N = N_A*5/A; // No. of nuceli of uranium in 5 kg of U-235\n",
+"E = N*200; // Energy released in the fission of 5 kg of U-235, MeV\n",
+"t = 24*3600; // Time taken to consume 5 kg of U-235, sec\n",
+"P = E/t; // Total power output of the nuclear reactor, MeV per second\n",
+"printf('\nThe total power output of the nuclear reactor = %4.2e MeV per second', P);\n",
+"\n",
+"// Result\n",
+"// The total power output of the nuclear reactor = 2.97e+22 MeV per second "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.8: Average_current_in_the_GM_counter_circuit.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex5.8 :: Page-5.34 (2009)\n",
+"clc;clear;\n",
+"e = 1.6e-019; // Electronic charge, C\n",
+"f = 450; // Count rate of GM counter, counts/min\n",
+"N = f*1e+08; // Total number of electrons collected per min\n",
+"Q = N*e; // Charge collected per min, C\n",
+"I = Q/60; // Averge current in the GM counter, A\n",
+"printf('\nThe averge current in the GM counter= %3.1e A', I);\n",
+"\n",
+"// Result\n",
+"// The averge current in the GM counter= 1.2e-10 A "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.9: Energy_needed_to_remove_a_neutron_from_Ca_nucleus.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex5.9 :: Page-5.39 (2009)\n",
+"clc;clear;\n",
+"m_Ca_41 = 40.962278; // Mass of one Ca-41 nuclei, amu\n",
+"m_Ca_42 = 41.958618; // Mass of one Ca-41 nuclei, amu\n",
+"m_n = 1.008665; // Mass of a neutron, amu\n",
+"delta_m = m_Ca_42 - (m_Ca_41 + m_n); // Difference in the mass of Ca-42 and Ca_41 nuclei, amu\n",
+"E = delta_m*(931.49); // Binding energy of the missing neutron, MeV\n",
+"printf('\nThe energy needed to remove a neutron from Ca-42 nucleus = %5.2f MeV', abs(E));\n",
+"\n",
+"// Result\n",
+"// The energy needed to remove a neutron from Ca-42 nucleus = 11.48 MeV "
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}