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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 10: Nuclear Detectors"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 1, Page number 284"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "average current is 1.33 *10**-10 amp\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "c=500; #counting rate(counts/min)\n",
+ "n=10**8; #number of electrons per discharge\n",
+ "e=1.6*10**-19; #charge(coul)\n",
+ "\n",
+ "#Calculations\n",
+ "tn=n*c*e; #total number of electrons collected(coul/min)\n",
+ "q=tn/60; #average current(amp)\n",
+ "\n",
+ "#Result\n",
+ "print \"average current is\",round(q*10**10,2),\"*10**-10 amp\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 2, Page number 284"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "counting rate per min is 500\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "q=1.333*10**-18; #current(amp)\n",
+ "e=1.6*10**-19; #charge(coul)\n",
+ "\n",
+ "#Calculations\n",
+ "n=q*60/e; #counting rate per min\n",
+ "\n",
+ "#Result\n",
+ "print \"counting rate per min is\",int(round(n))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 3, Page number 284"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "maximum permissible voltage fluctuations is 3.3 volt\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "cr=3; #change in count rate(%)\n",
+ "cv=100; #change in working volt(V)\n",
+ "crl=0.1; #count rate limit(%)\n",
+ "\n",
+ "#Calculations\n",
+ "V=crl*cv/cr; #maximum permissible voltage fluctuations(volt)\n",
+ "\n",
+ "#Result\n",
+ "print \"maximum permissible voltage fluctuations is\",round(V,1),\"volt\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 4, Page number 285"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "radial field at the centre is 9.45 *10**3 V/m\n",
+ "answer for radial field given in the book is wrong\n",
+ "counter will last for 3.7 years\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "V=1000; #voltage(V)\n",
+ "r=0.02; #radius(m)\n",
+ "b=2*10**-2; \n",
+ "a=10**-4; \n",
+ "lt=10**9; #life time(counts)\n",
+ "x=2.7*10**8; \n",
+ "\n",
+ "#Calculations\n",
+ "Emax=V/(r*(2.3*math.log10(b/a))); #radial field at the centre(V/m)\n",
+ "N=lt/x; #counter will last for(years)\n",
+ "\n",
+ "#Result\n",
+ "print \"radial field at the centre is\",round(Emax/10**3,2),\"*10**3 V/m\"\n",
+ "print \"answer for radial field given in the book is wrong\"\n",
+ "print \"counter will last for\",round(N,1),\"years\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.11"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}