Michelson Interferometer
Michelson Interferometer
INTERFEROMETER
Michelson Interferometer
Albert Abraham Michelson
(1852-1931)
Experimental set up
Effective arrangement of the interferometer
Circular fringes
SPK
Longitudinal section Circular fringes
P
rn
Chapter 6
9. The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.60 m and 1.02 m,
respectively. The respective rotational speeds are 450 rev/min and 4138 rev/min. Calculate the speeds
of the tips of both rotors. Compare thes
Chapter 8
1. A block of mass m = 0.60 kg attached to a spring with force constant 130 N/m is free to move on a
frictionless, horizontal surface as in Figure P13.1. The block is released from rest after the spring is
stretched a distance A 5 0.13 m. At tha
Chapter 7
9. A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 x 104 m2, and Youngs
modulus 8.00 x 1010 N/m2. What is its increase in length?
Ans : 4.90 mm
16. A high-speed lifting mechanism supports an 800-kg object with a stee
Chapter 9
41. The sinusoidal wave shown in Figure P13.41 is traveling in the positive x-direction and has a
frequency of 18.0 Hz.
Find the (a) amplitude, (b) wavelength, (c) period, and (d) speed of the wave.
Ans : (a) 4.13 cm
(b) 10.4 cm
(c) 5.56 x 10-2
ADDITIONAL TUTORIAL.
CHAPTER 1
1. Suppose that the displacement of an object is related to time according to the expression = 2 .
(a)What are the dimensions of B? (b) A displacement is related to time as x 5 A sin (2pft), where A and
f are constants. Find
ADDITIONAL TUTORIAL
CHAPTER 5
1.
A 0.280-kg volleyball approaches a player horizontally with a speed
of 15.0 m/s. The player strikes the ball with her fist and causes the
ball to move in the opposite direction with a speed of 22.0 m/s. (a)
What impulse is
ADDITIONAL TUTORIAL.
CHAPTER 3
1. One or more external forces are exerted on each object enclosed in a dashed box shown in
Figure below. Identify the reaction to each of these forces.
ANS: discuss with your lecturer
2. (a) Find the tension in each cable s
ADDITIONAL TUTORIAL.
CHAPTER 2
1. A person travels by car from one city to another with different constant speeds between pairs of
cities. She drives for 30.0 min at 80.0 km/h, 12.0 min at 100 km/h, and 45.0 min at 40.0 km/h and
spends 15.0 min eating lun
Score
PHYS 115L: Experiment 3
Motion Studies
Name:
Partner:
I. Tabulated data and calculated results 38 points
This section should contain your 7 graphs with all information for those graphs.
Displacement Match 1 Score must be <0.100
Displacement Match 2
Fringes of equal thickness
When the thickness d is not constant and the faces of the slab
form a wedge. The interfering rays are not parallel but meet at
points (real or virtual) near the wedge. The resulting interference
fringes are localized near the we
Multiple Beam Interference
Multiple Beam Interference
Optical Reversibility and Phase
Changes on Reflection
G.G. Stokes used the principle of optical
reversibility to investigate the reflection of
light at an interface between two media.
The reversibility
EARLY 19TH CENTURY
Plancks theory of Black body radiation (1900)
Photoelectric effect by Einstein (1904)
Compton effect by Compton (1920)
PHOTONS AND PLANCKS CONSTANT
PHOTOELECTRIC EFFECT AND COMPTON EFFECT
BLACKBODY RADIATION
Quantum energy of photon
E h
Michelson Interferometer
Michelson Interferometer
INTERFEROMETER
Michelson Interferometer
Albert Abraham Michelson
(1852-1931)
Experimental set up
Effective arrangement of the interferometer
Circular fringes
Longitudinal section Circular fringes
P
rn
N
S
Fabry-Perot Interferometer
o
30
I0
IR/I
IT/I
Transmitted intensity
d/ = 10 , f = 8
d/ = 10 , f = 1
30
o
d/ = 1000 , f = 7
d/ = 10 , f = 2
3o
Fabry-Perot
fringes
Michelson
fringes
Full width at half maximum
m
Resolved wavelengths
Unresolved wavelengths
Bar
Fabry-Perot Interferometer
o
30
The conditions of interference are precisely those discussed earlier.
With =1, the bright fringes are given by:
2d cos m= m
(you can see that this is similar to the situation prevailing in the M.I.)
The radii of the rings a
Electromagnetic waves
Dipole moment
Charge q oscillating as y(t) produces the
same electric field as q/2 moving as y(t)
and q/2 moving as y(t)
The latter is an oscillating dipole
d y ( t ) qy( t ) d 0 cos( t )
q
d 0 2 y0
2
Electric field in terms of dipol
Two Source Interference
Two Source Interference
Interference
For electromagnetic wave[Maxwells equation in free space]
2
2
2
2
y y y
1 y
+ 2 + 2 = 2 2
2
x
y
z
c t
y =( Ex , E y , Ez , Bx , By , Bz )
1
8
c=
3 10 m/sec
e 0 m0
Optical Interference
Optical i
Chapter 10
1. A laser beam is incident on two slits with a separation of 0.200 mm, and a screen is placed 5.00 m
from the slits. If the bright interference fringes on the screen are separated by 1.58 cm, what is the
wavelength of the laser light?
Ans : 63