{
"metadata": {
"name": "",
"signature": "sha256:168ff39597791c08930937d1b2aac6af790d1f198c96130c4b12669d6560fe5b"
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"nbformat": 3,
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 22 Dispersion"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.1 Page no 686"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=60 #Degree\n",
"i=49\n",
"\n",
"#Calculation\n",
"import math\n",
"r=A/2.0\n",
"u=math.sin(i*3.14/180.0)/math.sin(r*3.14/180.0)\n",
"\n",
"#Result\n",
"print \"Refractive index is\",round(u,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Refractive index is 1.51\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.2 Page no 686"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=1.5\n",
"A=60 #Degree\n",
"\n",
"#Calculation\n",
"import math\n",
"a1=A/2.0\n",
"a=u*math.sin(a1*3.14/180.0)\n",
"a2=math.asin(a)*180/3.14\n",
"X=(a2*2)-A\n",
"i=(A+X)/2.0\n",
"\n",
"#Result\n",
"print\"Angle of deviation is\", round(X,1),\"degree\"\n",
"print\"Angle of incidence is\",round(i,1),\"degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of deviation is 37.2 degree\n",
"Angle of incidence is 48.6 degree\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.3 Page no 686"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=60 #Degree\n",
"ug=1.53\n",
"uw=1.33\n",
"\n",
"#Calculation\n",
"import math\n",
"ug1=ug/uw\n",
"a2=A/2.0\n",
"a1=ug1*math.sin(a2*3.14/180.0)\n",
"a2=math.asin(a1)*180/3.14\n",
"d=(a2*2)-A\n",
"\n",
"#Result\n",
"print\"Angle of minimum deviation is\", round(d,1),\"Degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of minimum deviation is 10.2 Degree\n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.4 Page no 686"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"ug=1.6\n",
"uw=1.33\n",
"i=40 #Degree\n",
"A=60\n",
"\n",
"#Calculation\n",
"ug1=ug/uw\n",
"r1=math.asin(math.sin(i*3.14/180.0)/ug1)*180/3.14\n",
"r2=A-r1\n",
"e=math.asin(ug1*math.sin(r2*3.14/180.0))*180/3.14\n",
"d=i+e-A\n",
"\n",
"#Result\n",
"print\"Angle of deviation is\", round(d,0),\"Degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of deviation is 14.0 Degree\n"
]
}
],
"prompt_number": 29
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.5 Page no 686"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=60 #degree\n",
"ur=1.622\n",
"uv=1.663\n",
"\n",
"#Calculation\n",
"a=A*(uv-ur)\n",
"\n",
"#Result\n",
"print\"Angle of dispersion between red and violet color is\",a,\"degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of dispersion between red and violet color is 2.46 degree\n"
]
}
],
"prompt_number": 32
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.6 Page no 686"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=60 #Degree\n",
"ab=53\n",
"ar=51\n",
"a=52.0\n",
"\n",
"#Calculation\n",
"w=(ab-ar)/a\n",
"\n",
"#Result\n",
"print\"Dispersive power is\",round(w,4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dispersive power is 0.0385\n"
]
}
],
"prompt_number": 35
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.7 Page no 686"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"ub=1.522\n",
"ur=1.514\n",
"ub1=1.662\n",
"ur1=1.644\n",
"\n",
"#Calculation\n",
"u=(ub+ur)/2.0\n",
"w=(ub-ur)/(u-1)\n",
"u1=(ub1+ur1)/2.0\n",
"w1=(ub1-ur1)/(u1-1)\n",
"\n",
"#Result\n",
"print\"Dispersive power of crown glass is\",round(w,4)\n",
"print\"Dispersive power of flint galss is\",round(w1,4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dispersive power of crown glass is 0.0154\n",
"Dispersive power of flint galss is 0.0276\n"
]
}
],
"prompt_number": 43
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.8 Page no 687"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"w=0.031\n",
"ur=1.645\n",
"ub=1.665\n",
"\n",
"#Calculation\n",
"u=1+((ub-ur)/w)\n",
"\n",
"#Result\n",
"print\"Refractive index is\",round(u,3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Refractive index is 1.645\n"
]
}
],
"prompt_number": 46
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.9 Page no 687"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"uv=1.523\n",
"ur=1.515\n",
"A=5 #Degree\n",
"uv1=1.688\n",
"ur1=1.650\n",
"\n",
"#Calculation\n",
"u=(uv+ur)/2.0\n",
"u1=(uv1+ur1)/2.0\n",
"A1=-(5*(u-1))/(u1-1)\n",
"\n",
"#Result\n",
"print\"Angle of flint glass prism is\",round(A1,2),\"Degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of flint glass prism is -3.88 Degree\n"
]
}
],
"prompt_number": 49
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.10 Page no 687"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"w=0.021\n",
"u=1.53\n",
"w1=0.045\n",
"u1=1.65\n",
"A1=4.2 #degree\n",
"\n",
"#Calculation\n",
"A=-w1*A1*(u1-1)/(w*(u-1))\n",
"d=-(A*(u-1)+A1*(u1-1))\n",
"\n",
"#Result\n",
"print\"Angle of prism is\", d,\"Degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of prism is 3.12 Degree\n"
]
}
],
"prompt_number": 56
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.11 Page no 687"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=40 #degree\n",
"u=1.54\n",
"\n",
"#Calculation\n",
"import math\n",
"i=math.asin(u*math.sin(A*3.14/180.0))*180/3.14\n",
"\n",
"#Result\n",
"print\"Angle of incidence is\",round(i,2),\"Degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of incidence is 81.72 Degree\n"
]
}
],
"prompt_number": 59
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.12 Page no 687"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=1.524\n",
"A=60 #degree\n",
"C=41 #degree\n",
"\n",
"#calculation\n",
"import math\n",
"C1=1/u\n",
"A1=math.asin(C1)*180/3.14\n",
"r1=A-C\n",
"i=u*math.sin(r1*3.14/180.0)\n",
"A2=math.asin(i)*180/3.14\n",
"\n",
"#Result\n",
"print\"Angle of incidence is\", round(A2,2),\"Degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of incidence is 29.75 Degree\n"
]
}
],
"prompt_number": 84
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 22.13 Page no 688"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=0.015\n",
"w=0.03\n",
"u1=0.022\n",
"w1=0.05\n",
"a=2 #degree\n",
"\n",
"#Calculation\n",
"A=-u1/u\n",
"A1=a/(A/2.0+u1/w1)\n",
"a2=A*A1\n",
"print\"Angle of 1st prism is\", round(A1,2),\"Degree\"\n",
"print\"Angle of 2nd prism is\",a2,\"Degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angle of 1st prism is -6.82 Degree\n",
"Angle of 2nd prism is 10.0 Degree\n"
]
}
],
"prompt_number": 98
}
],
"metadata": {}
}
]
}