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+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:cc6c5a4a0e0adf2cdedcb0781ed844438a49a2dfa38fdca65079fafeb0f6b0cf"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter5:ULTRASONIC"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Eg1:pg-177"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "v=5760   #velocity of propagation of ultrasonic sound wave along X-direction in m/s\n",
+      "t=1.0*10**-3 #thickness of a piezo-electric quartz plate in meter\n",
+      "lamda=2*t #wavelength in meter(since t=lamda/2 corresponding to fundamental frequency)\n",
+      "V=v/lamda #fundamental frequency of the crystal\n",
+      "print\"fundamental frequency of the crystal=\",V/10**6,\"MHz\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "fundamental frequency of the crystal= 2.88 MHz\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Eg2:pg-177"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "Y=7.9*10**10 #Young's modulus in newton/m**2\n",
+      "p=2650       #density for Quartz in Kg/m**3\n",
+      "t=0.005      #thickness of a Quartz crystal in meter\n",
+      "v=sqrt(Y/p)  #velocity for longitudinal vibrations in m/sec\n",
+      "lamda=2*t #wavelength in meter(since t=lamda/2 corresponding to fundamental frequency)\n",
+      "V=v/lamda #fundamental frequency of the crystal\n",
+      "print\"fundamental frequency of the crystal=\",int(round(V/10**3)),\"KHz\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "fundamental frequency of the crystal= 546 KHz\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Eg3:pg-177"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "f=200.*10**3 #frequency of ultrasonic sound in Hz\n",
+      "S_a=340      #speed of sound in air in m/s\n",
+      "S_w=1486     #speed of sound in water in m/s\n",
+      "lamda_r=S_a/f#wavelength of reflected sound in metre\n",
+      "print\"Wavelength of reflected sound=\",\"{:.2e}\".format(lamda_r),\"m\"\n",
+      "lamda_t=S_w/f#wavelength of transmitted sound in metre\n",
+      "print\"Wavelength of transmitted sound=\",\"{:.2e}\".format(lamda_t),\"m\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Wavelength of reflected sound= 1.70e-03 m\n",
+        "Wavelength of transmitted sound= 7.43e-03 m\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [],
+     "language": "python",
+     "metadata": {},
+     "outputs": []
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file