{
"metadata": {
"name": "",
"signature": "sha256:07c4b928a455230c9db333bb0062ec9efe3c0f7899f2ff1857d420b5212b1285"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 21 Refraction Of Light"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.1 Page no 650"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"U=1.5\n",
"c=3.0*10**8 #m s**-1\n",
"\n",
"#Calculation\n",
"v=c/U\n",
"\n",
"#Result\n",
"print\" Speed of light in glass is\",v*10**-8,\"10**8\",\"m s**-1\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Speed of light in glass is 2.0 10**8 m s**-1\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.2 Page no 650"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=1.33\n",
"Lu=589*10**-9 #m\n",
"c=3*10**8\n",
"\n",
"#Calculation\n",
"v=c/Lu\n",
"v1=c/u\n",
"Lw=v1/v\n",
"\n",
"#Result\n",
"print\"(a) Wavelenght of light after reflection is\",Lu*10**9,\"10**-9\"\n",
"print\" Velocity of light after reflection is\",c*10**-8,\"10**8\",\"m s**-1\"\n",
"print\" Frqequency of light after reflection is\",round(v*10**-14,4),\"10**14\",\"Hz\"\n",
"print\"(b) Frequency of light after refraction is\",round(v*10**-14,4),\"10**14\",\"Hz\"\n",
"print\" Velocity of light after refraction is\",round(v1*10**-8,3),\"10**8\",\"m s**-1\"\n",
"print\" Wavelength of light after refraction is\",round(Lw*10**9,2),\"nm\" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(a) Wavelenght of light after reflection is 589.0 10**-9\n",
" Velocity of light after reflection is 3.0 10**8 m s**-1\n",
" Frqequency of light after reflection is 5.0934 10**14 Hz\n",
"(b) Frequency of light after refraction is 5.0934 10**14 Hz\n",
" Velocity of light after refraction is 2.256 10**8 m s**-1\n",
" Wavelength of light after refraction is 442.86 nm\n"
]
}
],
"prompt_number": 35
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.3 Page no 651"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"i=60\n",
"u=1.5\n",
"t=0.1 #m\n",
"\n",
"#Calculation\n",
"import math\n",
"r=(math.sin(60*3.14/180.0))/u\n",
"a=math.asin(r)*180/3.14\n",
"d=t/math.cos(r*3.14/180.0)*(math.sin(24*3.14/180.0))\n",
"\n",
"#Result\n",
"print\"The lateral shift produced is\",round(d,4),\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The lateral shift produced is 0.0407 m\n"
]
}
],
"prompt_number": 48
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.4 Page no 651"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=4/3.0\n",
"A1=3/2.0\n",
"I=30\n",
"\n",
"#Calculation\n",
"import math\n",
"S=A1/A\n",
"R=math.sin(30*3.16/180.0)/S\n",
"A=math.asin(R)*180/3.14\n",
"\n",
"#Result\n",
"print\"The angle of refraction is\",round(A,0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The angle of refraction is 27.0\n"
]
}
],
"prompt_number": 59
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.5 Page no 651"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"t=15\n",
"u=1.5\n",
"\n",
"#Calculation\n",
"d=t*(1-(1/u))\n",
"\n",
"#Result\n",
"print\" Real thickness of glass slab is\",d,\"cm\"\n",
"print\" The answer does not depend upon the location of the slab\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Real thickness of glass slab is 5.0 cm\n",
" The answer does not depend upon the location of the slab\n"
]
}
],
"prompt_number": 67
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.6 Page no 651"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"c=3*10**8 #m s**-1\n",
"v=2.0*10**8 #m s**-1\n",
"t=6.0 #cm\n",
"\n",
"#Calculation\n",
"u=c/v\n",
"d=t*(1-(1/u))\n",
"\n",
"#Result\n",
"print\"An ink dot appear to be rasied\",d,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"An ink dot appear to be rasied 2.0 cm\n"
]
}
],
"prompt_number": 73
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.7 Page no 651"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"d=12.5 #cm\n",
"a=9.4 #cm\n",
"u=1.63\n",
"\n",
"#Calculation\n",
"S=d/a\n",
"S1=d/u\n",
"S3=a-S1\n",
"\n",
"#Result\n",
"print\"The refractive index of water is\",round(S,2)\n",
"print\"The refractive index of liquid is\",round(S1,2),\"cm\"\n",
"print\"Distance is\",round(S3,2),\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The refractive index of water is 1.33\n",
"The refractive index of liquid is 7.67 cm\n",
"Distance is 1.73 cm\n"
]
}
],
"prompt_number": 84
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.8 Page no 651"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=4/3.0\n",
"d=0.015 #m\n",
"\n",
"#Calculatiom\n",
"t=d/(1-(1/A))\n",
"\n",
"#Result\n",
"print\"The height upto which water must be poured into the beaker is\",t,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The height upto which water must be poured into the beaker is 0.06 m\n"
]
}
],
"prompt_number": 91
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.9 Page no 652"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=3/2.0\n",
"A1=4/3.0\n",
"t1=6\n",
"t2=4\n",
"\n",
"#Calculation\n",
"d1=t1*(1-(1/A))\n",
"d2=t2*(1-(1/A1))\n",
"d3=d1+d2\n",
"\n",
"#Result\n",
"print\"The apparent position of an object is\",d3,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The apparent position of an object is 3.0 cm\n"
]
}
],
"prompt_number": 102
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.10 Page no 652"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"S=1.5\n",
"W=1.33\n",
"\n",
"#Calculation\n",
"import math\n",
"A=S/W\n",
"C=1/A\n",
"Q=math.asin(C)*180/3.14\n",
"\n",
"#Result\n",
"print\"The critical angle for a glass water interface is\",round(Q,0),\"degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The critical angle for a glass water interface is 62.0 degree\n"
]
}
],
"prompt_number": 124
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.11 Page no 652"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"I=40 #degree\n",
"A=15 #degree\n",
"\n",
"#Calculation\n",
"import math\n",
"r=I-A\n",
"u=(math.sin(40*3.14/180.0))/(math.sin(25*3.14/180.0))\n",
"c=1/u\n",
"A=math.asin(c)*180/3.14\n",
"\n",
"#Result\n",
"print\"The critical angle is\",round(A,1),\"degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The critical angle is 41.1 degree\n"
]
}
],
"prompt_number": 123
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.12 Page no 652"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=1.5\n",
"h=20\n",
"\n",
"#Calculation\n",
"import math\n",
"C=1/u\n",
"A=math.asin(C)*180/3.14\n",
"r=h*math.tan(A*3.14/180.0)\n",
"D=math.pi*r**2\n",
"\n",
"#Result \n",
"print\"The required surface area is\",round(D,1),\"cm**2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The required surface area is 1005.3 cm**2\n"
]
}
],
"prompt_number": 138
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.13 Page no 653"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=60 #degree\n",
"B=1.45\n",
"\n",
"#Calculation\n",
"import math\n",
"I=1/(math.sin(A*3.14/180.0))\n",
"Z=B/I\n",
"\n",
"#Result\n",
"print\"The refractive index of the liquid is\",round(Z,3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The refractive index of the liquid is 1.255\n"
]
}
],
"prompt_number": 143
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.14 Page no 653"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"A=1.68\n",
"A1=1.44\n",
"A2=90 #degree\n",
"\n",
"#Calculation\n",
"import math\n",
"K=A/A1\n",
"C=1/K\n",
"Q=math.asin(C)*180/3.14\n",
"r=A2-Q\n",
"I=A*math.sin(r*3.14/180.0)\n",
"Q1=math.asin(I)*180/3.14\n",
"\n",
"#Result\n",
"print\"Refraction index of glass fibre is\",round(Q1,0),\"degree\"\n",
"print\"All rays having angle of incidence between 0 degree to 60 degree will suffer total internal reflection\" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Refraction index of glass fibre is 60.0 degree\n",
"All rays having angle of incidence between 0 degree to 60 degree will suffer total internal reflection\n"
]
}
],
"prompt_number": 161
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.15 Page no 653"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u1=1\n",
"u2=1.5\n",
"u=-10.0 #cm\n",
"v=-40.0 #cm\n",
"\n",
"#Calculation\n",
"R=(u2-u1)/((-u1/u)+(u2/v))\n",
"\n",
"#Result\n",
"print\"Radius of curvature is\", R,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Radius of curvature is 8.0 cm\n"
]
}
],
"prompt_number": 178
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.16 Page no 653"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=-60.0 #cm\n",
"R=25.0 #cm\n",
"u1=1\n",
"u2=1.5\n",
"R1=0.25\n",
"\n",
"#Calculation\n",
"v=u2/(((u2-u1)/R)+(u1/u))\n",
"P=(u2-u1)/R1\n",
"\n",
"#Result\n",
"print\"Position of the image is\", v,\"cm\"\n",
"print\"Power of refracting surface is\",P,\"dioptre\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Position of the image is 450.0 cm\n",
"Power of refracting surface is 2.0 dioptre\n"
]
}
],
"prompt_number": 191
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.17 Page no 654 "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"U1=1.5\n",
"U2=1\n",
"\n",
"\n",
"#Calculation\n",
"x=(U1+U2)/(U1-U2)\n",
"\n",
"#Result\n",
"print\"Distance of the object is\",x,\"R\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Distance of the object is 5.0 R\n"
]
}
],
"prompt_number": 194
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.18 Page no 654"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u1=1\n",
"u2=1.5\n",
"u=-10.0 #cm\n",
"R=-5.0 \n",
"\n",
"#Calculation\n",
"v=u1/((u1-u2)/R+(u2/u))\n",
"\n",
"#Result\n",
"print\"Position of the image is\",v,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Position of the image is -20.0 cm\n"
]
}
],
"prompt_number": 196
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.19 Page no 654"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=1.5\n",
"R=-5.0 #cm\n",
"OC=2\n",
"\n",
"#Calculation\n",
"u1=R+OC\n",
"v=1/((1-u)/R+(u/u1))\n",
"\n",
"#Result\n",
"print\"Apparent position of the bubble is\", v,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Apparent position of the bubble is -2.5 cm\n"
]
}
],
"prompt_number": 202
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.20 Page no 654"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"R=-0.02 #m\n",
"u=1.54\n",
"v=-0.01 #m\n",
"\n",
"#calculation\n",
"u1=-u/((1-u)/R-(1/v))\n",
"\n",
"#Result\n",
"print\"Real depth of bubble is\", round(u1,4),\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Real depth of bubble is -0.0121 m\n"
]
}
],
"prompt_number": 206
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.21 Page no 655"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"R=7.5 #cm\n",
"u=4/3.0\n",
"\n",
"#Calculation\n",
"v=1/((1-u)/R)\n",
"\n",
"#Result\n",
"print\"It get focussed at\",v,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"It get focussed at -22.5 cm\n"
]
}
],
"prompt_number": 213
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.22 Page no 655"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#given\n",
"u=1.55\n",
"f=20 #cm\n",
"\n",
"#Calculation\n",
"R=(u-1)*2*f\n",
"\n",
"#Result\n",
"print\"Radius of curvature is,\",R,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Radius of curvature is, 22.0 cm\n"
]
}
],
"prompt_number": 215
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.23 Page no 655"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=1.5\n",
"f=0.3\n",
"\n",
"#Calculation\n",
"R=(u-1)*f\n",
"\n",
"#Result\n",
"print\"Radius of curvature is\", R,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Radius of curvature is 0.15 m\n"
]
}
],
"prompt_number": 218
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.24 Page no 655"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"a=2.0\n",
"\n",
"#Calculation\n",
"u=(a+1)/a\n",
"\n",
"#Result\n",
"print\"Refractive index is\",u"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Refractive index is 1.5\n"
]
}
],
"prompt_number": 219
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.25 Page no 655"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"ug=1.5\n",
"uc=1.63\n",
"R1=20.0 #cm\n",
"R2=-20.0\n",
"\n",
"#Calculation\n",
"fair=1/((ug-1)*(1/R1-1/R2))\n",
"ug1=ug/uc\n",
"fc=1/((ug1-1)*(1/R1-1/R2))\n",
"\n",
"#Result\n",
"print\"Focal length of the lens is\",round(fc,1),\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length of the lens is -125.4 cm\n"
]
}
],
"prompt_number": 225
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.26 Page no 656"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"fair=0.2 #m\n",
"ug=1.50\n",
"uw=1.33\n",
"\n",
"#Calculation\n",
"R=1/(fair*(ug-1))\n",
"ug1=ug/uw\n",
"fw=1/((ug1-1)*R)\n",
"f=fw-fair\n",
"\n",
"#Result\n",
"print\"Change in focal length is\", round(f,2),\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Change in focal length is 0.58 m\n"
]
}
],
"prompt_number": 234
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.27 Page no 656"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u1=1.2\n",
"u2=1.3\n",
"a=13.0\n",
"\n",
"#Calculation\n",
"u=u1/u2\n",
"f=1/((-1/a)*(1/(u1-1)))\n",
"\n",
"#Result\n",
"print\"Focal length is\", f,\"f\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length is -2.6 f\n"
]
}
],
"prompt_number": 237
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.28 Page no 656"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"f=20.0 #cm\\\n",
"u=12.0\n",
"f1=-20.0\n",
"\n",
"#Calculation\n",
"v=1/(1/f+1/u)\n",
"v1=1/(1/f1+1/u)\n",
"\n",
"#Result\n",
"print\"(a) Beam will converge at a point of distant\",v,\"cm\"\n",
"print\"(b) Beam will converge at a point of distant\",v1,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(a) Beam will converge at a point of distant 7.5 cm\n",
"(b) Beam will converge at a point of distant 30.0 cm\n"
]
}
],
"prompt_number": 244
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.29 Page no 656"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"f=-0.2 #m\n",
"v=0.3 #m\n",
"\n",
"#Calculation\n",
"u=1/(1/v-1/f)\n",
"\n",
"#Result\n",
"print\"The position of the point is\",u,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The position of the point is 0.12 m\n"
]
}
],
"prompt_number": 249
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.30 Page no 656"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"f=10.0 #cm\n",
"c=20 #cm\n",
"o=5.0\n",
"\n",
"#Calculation\n",
"u=-(c-o)\n",
"u1=-(c+o)\n",
"v1=1/((1/f)+(1/u))\n",
"v2=1/((1/f)+(1/u1))\n",
"v=v1-v2\n",
"\n",
"#Result\n",
"print\"Length of image of needle is\", round(v,2),\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Length of image of needle is 13.33 cm\n"
]
}
],
"prompt_number": 273
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.31 Page no 657"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=-30.0\n",
"v=20.0\n",
"R1=10.0\n",
"R2=-15.0\n",
"ug1=1.33\n",
"\n",
"#Calculation\n",
"f=1/(-1/u+1/v)\n",
"ug=(1/f+1/6.0)*6.0\n",
"fw=1/(((ug/ug1)-1)*(1/R1-1/R2))\n",
"\n",
"#Result\n",
"print\"Focal length of the lens is\", f,\"cm\"\n",
"print\"Focal length of the lens is\",round(fw,2),\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length of the lens is 12.0 cm\n",
"Focal length of the lens is 46.94 cm\n"
]
}
],
"prompt_number": 289
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.32 Page no 657"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"f=0.12\n",
"m=-3.0\n",
"\n",
"#Calculation\n",
"u=(f/m)-f\n",
"\n",
"#Result\n",
"print\"Distance between object and lens is\", u,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Distance between object and lens is -0.16 m\n"
]
}
],
"prompt_number": 292
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.33 Page no 657"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"m=-19.0\n",
"v=10\n",
"\n",
"#Calculation\n",
"f=v/(-m+1)\n",
"\n",
"#Result\n",
"print\"Focal length of the lens is\",f,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length of the lens is 0.5 m\n"
]
}
],
"prompt_number": 296
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.34 Page no 657"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"m=4\n",
"f=20\n",
"\n",
"#Calculation\n",
"u=m+1-f\n",
"v=f-(m*f)\n",
"\n",
"#Result\n",
"print\"Object is at\", u,\"cm\"\n",
"print\"Image is at\",v,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Object is at -15 cm\n",
"Image is at -60 cm\n"
]
}
],
"prompt_number": 301
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.35 Page no 657"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"O=5 #cm\n",
"u=-45.0 #cm\n",
"v=90.0\n",
"\n",
"#Calculation\n",
"f=-1/(1/u-1/v)\n",
"I=v*O/u\n",
"\n",
"#Result\n",
"print\"Focal length is\", f,\"cm\"\n",
"print\"size of the image is\",I,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length is 30.0 cm\n",
"size of the image is -10.0 cm\n"
]
}
],
"prompt_number": 309
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.36 Page no 658"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"O=3 #cm\n",
"u=-14.0\n",
"f=-21.0\n",
"\n",
"#Calculation\n",
"v=1/(1/f+1/u)\n",
"I=O*v/u\n",
"\n",
"#Result\n",
"print\"Image produced by the lens is\",I,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Image produced by the lens is 1.8 cm\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.37 Page no 658"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"R1=0.20\n",
"R2=-0.2\n",
"u=1.5\n",
"u1=1.25\n",
"\n",
"#Calculation\n",
"P1=(u-1)*(1/R1-1/R2)\n",
"u2=u/u1\n",
"P2=(u2-1)*(-1/R2-1/R2)\n",
"P=P1/P2\n",
"\n",
"#Result\n",
"print\"Ratio of power of lens is\", P"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Ratio of power of lens is 2.5\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.38 Page no 658"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"f1=15.0 #cm\n",
"f2=30.0\n",
"\n",
"#Calculation\n",
"f=1/(1/f1+1/f2)\n",
"P=1/f\n",
"\n",
"#Result\n",
"print\"Power is\",f*10**-2,\"m\"\n",
"print\"Focal length is\",P*10**2,\"D\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Power is 0.1 m\n",
"Focal length is 10.0 D\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.39 Page no 658"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"P1=-1.5 #D\n",
"P2=2.75\n",
"\n",
"#Calculation\n",
"P=P1+P2\n",
"f=1/P\n",
"\n",
"#Result\n",
"print\"Focal length is\",f,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length is 0.8 m\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.40 Page no 659"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"a=0.11\n",
"a1=0.07\n",
"\n",
"#Calculation\n",
"x=a-a1\n",
"u=(a1-0.01)/x\n",
"\n",
"#Result\n",
"print\"Refractive index is\",u"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Refractive index is 1.5\n"
]
}
],
"prompt_number": 24
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.41 Page no 659"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"a=70 #Degree\n",
"\n",
"#Calculation\n",
"import math\n",
"a=1/(math.sin(a*3.14/180.0))\n",
"a1=math.atan(a)*180/3.14\n",
"u=1/math.sin(a1*3.14/180.0)\n",
"\n",
"#Result\n",
"print\"Critical angle is\", round(u,3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Critical angle is 1.372\n"
]
}
],
"prompt_number": 29
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.42 Page no 659"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"a=180 #degree\n",
"b=90\n",
"c=45\n",
"\n",
"#Calculation\n",
"import math\n",
"r=a-(b+c)\n",
"A=1.352*math.sin(r*3.14/180.0)\n",
"A1=math.asin(A)*180/3.14\n",
"\n",
"#Result\n",
"print\"(a) Angle of incidence is sin-1[(math.sqrt(u**2-u1**2)-u1)/math.sqrt(2)]\"\n",
"print\"(b) Angle of incidence at face AB is\",round(A1,0),\"Degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(a) Angle of incidence is sin-1[(math.sqrt(u**2-u1**2)-u1)/math.sqrt(2)]\n",
"(b) Angle of incidence at face AB is 73.0 Degree\n"
]
}
],
"prompt_number": 34
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.43 Page no 660"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"u=40.0 #cm\n",
"R=10.0\n",
"u1=1\n",
"u2=1.5\n",
"\n",
"\n",
"#Calculation\n",
"v=u2/(((u2-u1)/R)+(u1/u))\n",
"\n",
"#Result\n",
"print\"Position of the image is\", v,\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Position of the image is 20.0 cm\n"
]
}
],
"prompt_number": 38
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.44 Page no 660"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"x=0.04\n",
"y=8/300.0\n",
"u=-0.04\n",
"v=-16/500.0\n",
"\n",
"#Calculation\n",
"U=x/y\n",
"R=(1-U)/(-U/u+1/v)\n",
"f=1/((U-1)/R)\n",
"\n",
"print\"(i) Refractive index is\",U\n",
"print\"(ii) Radius of curvature is\",R,\"m\"\n",
"print\"(iii) Focal length is\",f,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(i) Refractive index is 1.5\n",
"(ii) Radius of curvature is -0.08 m\n",
"(iii) Focal length is -0.16 m\n"
]
}
],
"prompt_number": 53
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.46 Page no 661"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"OI=90.0 #cm\n",
"O1O2=20\n",
"x=35 #cm\n",
"\n",
"#Calculation\n",
"f=(OI-x)*x/((OI-x)+x)\n",
"\n",
"#Result\n",
"print\"Focal length of the lens is\", round(f,1),\"cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length of the lens is 21.4 cm\n"
]
}
],
"prompt_number": 71
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.47 Page no 662"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"m=-4\n",
"a=1.5\n",
"u=0.3\n",
"\n",
"#Calculation\n",
"x=a/(-m+1)\n",
"v=a-u\n",
"f=1/(1/u+1/v)\n",
"\n",
"#Result\n",
"print\"Focal length of the lens is\", f,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length of the lens is 0.24 m\n"
]
}
],
"prompt_number": 61
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.48 Page no 662"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"P1=8.0 #dioptre\n",
"P2=2.0\n",
"\n",
"#Calculation\n",
"f1=1/P1\n",
"f2=1/P2\n",
"\n",
"#Result\n",
"print\"Focal length of lens 1 is\",f1,\"m\"\n",
"print\"Focal length of lens 2 is\",f2,\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Focal length of lens 1 is 0.125 m\n",
"Focal length of lens 2 is 0.5 m\n"
]
}
],
"prompt_number": 66
}
],
"metadata": {}
}
]
}