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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:b9d3600de62f2e313ebd68d87880d0cad19ed95bdfc9a86e635db985c6359259"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "UNIT-1:Waves & Vibrations"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.1,Page no:11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "n=512 #frequency in Hz\n",
+ "l=67 #wavelength in cm\n",
+ "\n",
+ "#Calculation\n",
+ "v=n*l #calculating velocity\n",
+ "\n",
+ "#Result\n",
+ "print\"Velocity = \",v,\" cm/sec\" \n",
+ "print\"NOTE:Calculation mistake in book\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity = 34304 cm/sec\n",
+ "NOTE:Calculation mistake in book\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.2,Page no:11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "v=340 #velocity in m/sec\n",
+ "l=0.68 #wavelength in m\n",
+ "\n",
+ "#Calculation\n",
+ "n=v/l #calculating frequency\n",
+ "\n",
+ "#Result\n",
+ "print\"Frequency\",n,\"Hz\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Frequency 500.0 Hz\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.3,Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "v=3*10**8 #velocity in m/sec\n",
+ "n=500*10**3 #frequency in Hz\n",
+ "\n",
+ "#Calculation\n",
+ "l=v/n #calculating wavelength\n",
+ "\n",
+ "#Result\n",
+ "print\"Wavelength=\",l,\"m\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Wavelength= 600 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.4,Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "v=330 #velocity in m/sec\n",
+ "n=560.0 #frequency in Hz\n",
+ "\n",
+ "#Calculation\n",
+ "lamda=v/n #calculating wavelength\n",
+ "\n",
+ "#Result\n",
+ "print\"lambda=\",round(lamda,3),\"m\"\n",
+ "print\"Distance travelled in 30 vibrations in m = \",round(lamda*30,2),\"m\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "lambda= 0.589 m\n",
+ "Distance travelled in 30 vibrations in m = 17.68 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.5,Page no:12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "import math \n",
+ "\n",
+ "#Variable declaration\n",
+ "s=90.0 #distance in m\n",
+ "u=0 #initial velocity in m/sec\n",
+ "\n",
+ "#Calculation\n",
+ "t=math.sqrt(90/4.9) #calculating time using kinematical equation\n",
+ "later=4.56 #Time after which sound is heard\n",
+ "t1=later-t #calculating time taken by sound to travel\n",
+ "t1=round(t1,2)\n",
+ "v=s/t1 #calculating velocity\n",
+ "\n",
+ "#Result\n",
+ "print\"Velocity in m/sec = \",round(v,2),\"m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in m/sec = 333.33 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.6,Page no:13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "l1=1.5 #wavelength in m\n",
+ "l2=2 #wavelength in m\n",
+ "v1=120 #velocity in m/sec\n",
+ "\n",
+ "#Calculation\n",
+ "n=v1/l1 #calculating frequency\n",
+ "v2=n*l2 #calculating velocity\n",
+ "\n",
+ "#Result\n",
+ "print\"Velocity in m/sec = \",v2,\"m/sec\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity in m/sec = 160.0 m/sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.7,Page no:14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "l=5641*10**-10 #wavelength in m\n",
+ "c=3*10**8 #velocity in m/sec\n",
+ "u=1.58 #refractive index of glass\n",
+ "\n",
+ "#Calculation\n",
+ "n=c/l #calculating frequency\n",
+ "cg=c/u #calculating velocity of light in glass\n",
+ "l1=cg/n #calculating wavelegth in glass\n",
+ "\n",
+ "#Result\n",
+ "print\"Wavelength in glass in Angstrom =\",l1*10**10,\"Angstrom\" \n",
+ "print\"\\n\\nNOTE:Calculation ambiguity in book,value of cg is taken as 1.9*10**8 ,Therefore final answer is changed\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Wavelength in glass in Angstrom = 3570.25316456 Angstrom\n",
+ "\n",
+ "\n",
+ "NOTE:Calculation ambiguity in book,value of cg is taken as 1.9*10**8 ,Therefore final answer is changed\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.8,Page no:15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "n=12*10**6 #frequency in Hz\n",
+ "v=3*10**8 #velocity in m/sec\n",
+ "\n",
+ "#Calculation\n",
+ "l=v/n #calculating wavelength\n",
+ "\n",
+ "#Result\n",
+ "print\"Wavelength in m = \",l,\"m\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Wavelength in m = 25 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 18
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.9,Page no:15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "n=400 #frequency in Hz\n",
+ "v=300.0 #velocity in m/sec\n",
+ "\n",
+ "#Calculation\n",
+ "l=v/n #calculating wavelength\n",
+ "\n",
+ "#Result\n",
+ "print\"Wavelength=\",l,\"m\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Wavelength= 0.75 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.10,Page no:22"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "import math \n",
+ "\n",
+ "#Variable declaration\n",
+ "a=20 #amplitude in cm\n",
+ "n=6 #frequency per second\n",
+ "\n",
+ "#Calculation\n",
+ "w=2*(math.pi)*n #omega in radians/sec\n",
+ "\n",
+ "#Result\n",
+ "print\"Omega in radians/sec = \",round(w,1),\"rad/sec\" \n",
+ "print\"y=\",a,\"sin\",round(w,1),\"t\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Omega in radians/sec = 37.7 rad/sec\n",
+ "y= 20 sin 37.7 t\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.11,Page no:23"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "\n",
+ "#Variable declaration\n",
+ "a=6 #amplitude in cm\n",
+ "n=9 #frequency in Hz.\n",
+ "\n",
+ "#Calculation\n",
+ "vmax=2*(math.pi)*n*6 #calculating velocity in cm/sec\n",
+ "acc=-((18*(math.pi))**2)*6 #calculating acc. in m/sec square\n",
+ "\n",
+ "#Result\n",
+ "print\"Maximum velocity in cm/sec = \",round(vmax,2),\"cm/sec\" \n",
+ "print\"Velocity at extreme position = 0\" \n",
+ "print\"Accelaration at mean position = 0\" \n",
+ "print\"Accelaration at extreme position = \",round(acc,1),\"m/sec^2\" \n",
+ "print\"\\n\\nNOTE:Calculation mistake in book\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Maximum velocity in cm/sec = 339.29 cm/sec\n",
+ "Velocity at extreme position = 0\n",
+ "Accelaration at mean position = 0\n",
+ "Accelaration at extreme position = -19186.5 m/sec^2\n",
+ "\n",
+ "\n",
+ "NOTE:Calculation mistake in book\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example no:1.12,Page no:26"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "\n",
+ "#Variable declaration\n",
+ "g=9.8 #gravitational constant\n",
+ "m=50 #mass in kg\n",
+ "l=0.2 #length in m\n",
+ "T=0.6 #time period\n",
+ "\n",
+ "#Calculation\n",
+ "k=(m*g)/l #calculating constant\n",
+ "m=2450*((T/(2*(math.pi)))**2) #calcualting mass using given time period\n",
+ "\n",
+ "#Result\n",
+ "print\"Mass of body= \",round(m,2),\"kg\" \n",
+ "print\"Weight of suspended body=\",round(m,2)*g,\"N\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mass of body= 22.34 kg\n",
+ "Weight of suspended body= 218.932 N\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-20 16:43:01 +0000