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diff --git a/Engineering_Physics_by_Uma_Mukherji/Chapter4.ipynb b/Engineering_Physics_by_Uma_Mukherji/Chapter4.ipynb
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+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:e2b842be083bc61cf1d1d9ada89de2502dedfb3d340e5f3b6d0b51d6c790688a"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "4: Ultrasonic"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example number 4.1, Page number 84"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#importing modules\n",
+      "import math\n",
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration\n",
+      "V1=343;     #velocity of air(m/s)\n",
+      "V2=1372;    #velocity f water(m/s)\n",
+      "dt=3;       #time difference(s)\n",
+      "\n",
+      "\n",
+      "#Calculation\n",
+      "S=((V1*V2)*(dt))/(V2-V1);     #distance between two ships(m)\n",
+      "\n",
+      "#Result\n",
+      "print \"distance between two ships is\",S,\"m\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "distance between two ships is 1372.0 m\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example number 4.2, Page number 84"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#importing modules\n",
+      "import math\n",
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration\n",
+      "V=1700;     #velocity of sound(m/s)\n",
+      "t=0.65;     #time(s)\n",
+      "n=0.07*10**6;     #frequency of source(Hz)\n",
+      "\n",
+      "\n",
+      "#Calculation\n",
+      "d=(V*t)/2;      #depth of sea(m)\n",
+      "lamda=V/n;      #wavelength of pulse(m)\n",
+      "\n",
+      "#Result\n",
+      "print \"depth of sea is\",d,\"m\"\n",
+      "print \"wavelength of pulse is\",round(lamda,4),\"m\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "depth of sea is 552.5 m\n",
+        "wavelength of pulse is 0.0243 m\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example number 4.3, Page number 84"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#importing modules\n",
+      "import math\n",
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration\n",
+      "P=1;     \n",
+      "l=40*10**-3;    #length of pure rod(m)\n",
+      "E=115*10**9;    #Young's modulus(N/m**2)\n",
+      "D=7.25*10**3;   #density of pure iron(kg/m**3)\n",
+      "\n",
+      "#Calculation\n",
+      "n=(P/(2*l))*math.sqrt(E/D);    #natural frequency of pure rod(Hz) \n",
+      "\n",
+      "#Result\n",
+      "print \"natural frequency of pure rod is\",round(n/10**3,1),\"kHz\"\n",
+      "print \"answer given in the book is wrong\"\n",
+      "print \"frequency of rod is more than audible range, rod can be used in magnetostriction oscillator\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "natural frequency of pure rod is 49.8 kHz\n",
+        "answer given in the book is wrong\n",
+        "frequency of rod is more than audible range, rod can be used in magnetostriction oscillator\n"
+       ]
+      }
+     ],
+     "prompt_number": 8
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file