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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 9 : Special Theory of Relativity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 1 , Page number 284"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Change in length in diameter= 6.37 *10**-2 m\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"l=2*6371 #Diameter of earth\n",
"v=30 #velocity\n",
"c=3*10**5 #velocity of light\n",
"\n",
"#Calculations\n",
"dell=(l*v**2)/(2*c**2)/10**-5\n",
"\n",
"#Result\n",
"print\"Change in length in diameter=\",round(dell,2),\"*10**-2 m\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 2 , Page number 284"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The minimum speed v= 0.99999996247 c\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"delt=10 #time duration at earth\n",
"delt1=1/365 \n",
"\n",
"#Calculations\n",
"v=math.sqrt(1-(delt1/delt)**2)\n",
"\n",
"#Result\n",
"print\"The minimum speed v= \",v,\"c\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 3 , Page number 285"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1) The time taken on earth (t) = 21.05 year\n",
"(2) The time taken on spaceship (t1) = 6.53 year\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"L0=20 #The distance of the star\n",
"v=0.95 #velocity\n",
"\n",
"#Calculations\n",
"t=L0/v\n",
"L=L0*math.sqrt(1-v**2)\n",
"L=round(L,1)\n",
"t1=(L*3*10**8)/(v*3*10**8)\n",
"\n",
"#Result\n",
"print\"(1) The time taken on earth (t) = \",round(t,2),\"year\"\n",
"print\"(2) The time taken on spaceship (t1) = \",round(t1,2),\"year\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 4 , Page number 285"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1) The height will be same and the length(L0) = 6.25 m\n",
"(2) The time elapsed on his friend's watch(t1) = 8.0 sec\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"L=5 #Lenth\n",
"v=0.6 #velocity\n",
"t=10 #time\n",
"\n",
"#Calculations\n",
"L0=L/math.sqrt(1-v**2)\n",
"t1=t*math.sqrt(1-v**2)\n",
"\n",
"#Result\n",
"print\"(1) The height will be same and the length(L0) = \",L0,\"m\"\n",
"print\"(2) The time elapsed on his friend's watch(t1) = \",t1,\"sec\""
]
}
],
"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": "2.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
