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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 5: Elements of Statistical Mechanics"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5.1, Page number 129"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "temperature is 5959 K\n",
+ "answer in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "b=2.92*10**-3; #value of b(mK)\n",
+ "lamda=4900*10**-10; #wavelength(m)\n",
+ "\n",
+ "#Calculations\n",
+ "T=b/lamda; #temperature(K)\n",
+ "\n",
+ "#Result\n",
+ "print \"temperature is\",int(T),\"K\"\n",
+ "print \"answer in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5.2, Page number 129"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "temperature is 5454 K\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "T=1500; #temperature(K)\n",
+ "lamda=5500; #wavelength(m)\n",
+ "lamda_m=20000; #wavelength(m)\n",
+ "\n",
+ "#Calculations\n",
+ "T_dash=lamda_m*T/lamda; #temperature of sun(K)\n",
+ "\n",
+ "#Result\n",
+ "print \"temperature is\",int(T_dash),\"K\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5.3, Page number 130"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "wavelength is 48283 angstrom\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "T=327+273; #temperature(K)\n",
+ "b=2.897*10**-3; #value of b(mK)\n",
+ "\n",
+ "#Calculations\n",
+ "lamda_m=b/T; #wavelength(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"wavelength is\",int(lamda_m*10**10),\"angstrom\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5.4, Page number 130"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "wavelength is 2.92 angstrom\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "T=10**7; #temperature(K)\n",
+ "b=0.292; #value of b(cmK)\n",
+ "\n",
+ "#Calculations\n",
+ "lamda_m=b/T; #wavelength(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"wavelength is\",lamda_m*10**8,\"angstrom\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5.5, Page number 130"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "temperature of moon is 200 K\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "T=1127+273; #temperature(K)\n",
+ "lamda_m=2*10**-6; #wavelength(m)\n",
+ "lamda=14*10**-6; #wavelength(m)\n",
+ "\n",
+ "#Calculations\n",
+ "Tm=lamda_m*T/lamda; #temperature of moon(K)\n",
+ "\n",
+ "#Result\n",
+ "print \"temperature of moon is\",int(Tm),\"K\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5.6, Page number 131"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "temperature of sun is 6097 K\n",
+ "temperature of moon is 207 K\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "lamda_m=4753*10**-10; #wavelength(m)\n",
+ "lamda=14*10**-6; #wavelength(m)\n",
+ "b=0.2898*10**-2; #value of constant(mK)\n",
+ "\n",
+ "#Calculations\n",
+ "Ts=b/lamda_m; #temperature of sun(K) \n",
+ "Tm=b/lamda; #temperature of moon(K)\n",
+ "\n",
+ "#Result\n",
+ "print \"temperature of sun is\",int(Ts),\"K\"\n",
+ "print \"temperature of moon is\",int(Tm),\"K\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5.7, Page number 140"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "maximum kinetic energy is 6.48 *10**4 K\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "e=1.6*10**-19; #charge(coulomb)\n",
+ "m=9*10**-31; #mass(kg)\n",
+ "h=6.624*10**-34; #plank's constant(Js)\n",
+ "n=5.86*10**28; #density(electrons/m**3)\n",
+ "k=8.6*10**-5;\n",
+ "\n",
+ "#Calculations\n",
+ "ef=(h**2/(8*m))*(3*n/math.pi)**(2/3); #energy(J)\n",
+ "ef=ef/e; #energy(eV)\n",
+ "theta_f=ef/k; #maximum kinetic energy(K)\n",
+ "\n",
+ "#Result\n",
+ "print \"maximum kinetic energy is\",round(theta_f/10**4,2),\"*10**4 K\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5.8, Page number 140"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "fermi energy is 3.187 eV\n",
+ "answer varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "e=1.6*10**-19; #charge(coulomb)\n",
+ "m=9*10**-31; #mass(kg)\n",
+ "h=6.62*10**-34; #plank's constant(Js)\n",
+ "rho=970; #density(kg/m**3)\n",
+ "N0=6.02*10**26; #avagadro number\n",
+ "A=23; #atomic weight\n",
+ "\n",
+ "#Calculations\n",
+ "n=rho*N0/A; #concentration(electrons/m**3)\n",
+ "ef=(h**2/(8*m))*(3*n/math.pi)**(2/3); #fermi energy(J)\n",
+ "ef=ef/e; #fermi energy(eV)\n",
+ "\n",
+ "#Result\n",
+ "print \"fermi energy is\",round(ef,3),\"eV\"\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ }
+ ],
+ "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
+}
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