Download Homework for “Standing Waves on a String” Lab

KFUPM-Physics Department
December 31, 2003
1-
Phys211
Major 2
Id #
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Name # :
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The light from a 110-W lamp spreads uniformly in all directions.
Find the irradiance of these optical electromagnetic waves and the
amplitude of the E field at a distance 5 m from the lamp. Assume
that 5% of the lamp energy is converted to light.
2- Sketch to scale a phasor diagram of the following sinusoidal waves
and find the result of their superposition
E1 = 2 sin( t+/2), E2 = 2 2 cos( t+/4), and E1 = 4 sin( t-/2).
3- Two harmonic light waves with amplitudes of 1.6 and 2.8 interfere
at some point on a screen. What fringe contrast results there if their
electric field vectors are parallel and if they are perpendicular?
4- A thin film of MgF2 (n = 1.38) is deposited on glass so that it is
antireflecting at a wavelength of 500 nm under normal incidence.
What wavelength is minimally reflected when the light is incident
instead at 45º?
5- A thin sheet of fluorite of index 1.434 is inserted normally into one
beam of a Michelson interferometer. Using light of wavelength of
589 nm, the fringe pattern is found to shift by 70 fringes. What is
the thickness of the sheet?
6- The separation of a certain doublet is 0.0055 nm at a wavelength of
490 nm. A variable spaced Fabry-Perot interferometer is used to
examine the doublet. At what spacing does the mth order of one
component coincide with the (m+1)th order of the other?
7- A pinhole of diameter 0.5 mm is used infont of a sodium lamp (589
nm) as a source in a Young interference experiment. The distance
form pinhole to slits is 1 m. What is the maximum slit space insuring
interference fringes that are just visible.
8- Sketch an experimental setup for making an off-axis hologram like
that discussed in your textbook. If the incident angle of the
reference beam on the film is 20º, sketch another setup for observing
the hologram on the developed film. Indicate on your figure the
zero-order beam, your eye location, and the angles of the real and
imaginary images.
9- Write the normalized Jones vector for the following wave and
describe its state of polarization:
E=i E0 cos(kz-t) + j E0 cos(kz-t- /4))
10- Determine the state of polarization of a linearly polarized light
initially polarized along 45º after it passes though HWP with SA
horizontal and then QWP with SA vertical.
Bonus Problem
11- Newton’s Rings are formed between a spherical lens surface and an
optical flat. If the tenth bright ring of the green light (546.1 nm) is
7.89 nm in diameter, what is the radius of curvature of the lens
surface?
KFUPM-Physics Department
December 31, 2003
Phys211
Major 2
Id #
:
Name # :
Formulae
 cos 2 
cos  sin  


2
 cos  sin 
sin  


l s  1.22

  2n f t cos 

 
S   0c 2 E  B
E  cB

Er  S 
 0  8..85 10 12 C 2 s 2 /( kg.m 3 )
c  3 108 m / s
1
T

1  F sin 2 ( )
2
 e ix 0 


 0 e iy 


c
lt 
f
V  1

0
ls 
R



2
m F
4r 2
F
(1  r 2 ) 2
1
0 
f
.
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