St. Vincent College
PH 241: Optics
Exam 5
11/13/2009
1. Write an expression for the thickness dof a double-convex lens such that its focal length is infinite.
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community
Ask the community for help and clear up your study doubts
University Rankings
Discover the best universities in your country according to Docsity users
Free resources
Our save-the-student-ebooks!
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Double Convex Lens - Optics and Modern Physics - Past Paper, Exams of Physics
This is the Past Paper of Optics and Modern Physics which includes Concave Lens, Radii of Curvature, Location of Image, Permittivity of Free Space, Coulomb Constant etc. Key important points are: Double Convex Lens, Expression for Thickness, Focal Length, Dispersion Relation, Group Velocity, Phase Velocity, Electric Field Waves, Trigonometric Identities, Center of Spherical Lens
Typology: Exams
2012/2013
1 / 5
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Double Convex Lens - Optics and Modern Physics - Past Paper and more Exams Physics in PDF only on Docsity!
St. Vincent College
PH 241: Optics
Exam 5
- Write an expression for the thickness d of a double-convex lens such that its focal length is infinite.
- Given the dispersion relation ω = ak
2 , where a is a constant, show that the group velocity vg is twice
the phase velocity vp, or vg = 2vp. (Hint: Work out both first, then show ...)
- A flower is located 4 m from the center of a spherical lens with n = 1. 4 and diameter 20 cm. Locate
and describe the image.
Possibly Useful Information
Permittivity of Free Space: ǫ 0 = 8. 854 × 10
− 12 C
2 /N · m
2
Coulomb Constant: ke = 8. 99 × 10
9 N · m
2 /C
2
Permeability of Free Space: μ 0 = 4π × 10
− 7 T · m/A
Speed of light in vacuum: c = 2. 99792458 × 10
8 m/s
1 inch = 2.54 cm, exactly.
A × (
B ×
C) =
B(
A ·
C) −
C(
A ·
B)
A ×
B) ×
C =
B(
A ·
C) −
A(
B ·
C)
A ×
B) · (
C ×
D) = (
A ·
C)(
B ·
D) − (
A ·
D)(
B ·
C)
A ×
B) × (
C ×
D) =
C{
A · (
B ×
D)} −
D{
A · (
B ×
C)}
sin(A ± B) = sin A cos B ± cos A sin B
cos(A ± B) = cos A cos B ∓ sin A sin B
cos A + cos B = 2 cos
[
(A + B)
]
cos
[
(A − B)
]
cos A − cos B = 2 sin
[
(A + B)
]
sin
[
(B − A)
]
f
= (n − 1)
[
R
1
R
2
(n − 1)d
nR 1
R
2
]
h 1
f (n − 1)d
nR 2
h 2 = −
f (n − 1)d
nR 1
T =
1 L
R =
1
R
[
n 1
n 2
]
n 1
n 2
M =
2
R