{
"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": {}
}
]
}