lopez (anl973) – Homework 8 – spurlock – (42004)
This print-out should have 19 questions.
Multiple-choice questions may continue on
the next column or page – find all choices
before answering. f2 f1 f2 p1
10 m
0 5 15 f12 f2 10 m
0 5 8.09 m
10 15 20 At what distance is the first image from the
first lens?
Answer in units of m.
006 (part 2 of 4) 10.0 points
What is the magnification of the first image?
007 (part 3 of 4) 10.0 points
At what distance is the second image from the
second lens?
Answer in units of m. 7.23 m
10 f2 =
−2.6 m p1 An object is placed 10 m before a convex
lens with focal length 5.5 m . Another convex
lens is placed 7.23 m behind the first lens with
a focal length 5.6 m (see the figure below).
Note: Make a ray diagram sketch in order
to check your numerical answer.
f1 =
f2 =
5.5 m
5.6 m f1 f1 =
5.4 m f1 001 (part 1 of 4) 10.0 points 1 20 At what distance is the first image from the
first lens?
Answer in units of m.
002 (part 2 of 4) 10.0 points
What is the magnification of the first image?
003 (part 3 of 4) 10.0 points
At what distance is the second image from the
second lens?
Answer in units of m.
004 (part 4 of 4) 10.0 points
What is the magnification of the final image,
when compared to the initial object? 008 (part 4 of 4) 10.0 points
What is the magnification of the final image,
when compared to the initial object?
009 (part 1 of 2) 10.0 points
A double slit with a spacing of 0.0396 mm
between the slits is 2.49 m from a screen.
If yellow light of wavelength 578 nm strikes
the double slit, what is the separation between
the zeroth- and first-order maxima on the
screen?
Answer in units of m. 005 (part 1 of 4) 10.0 points 010 (part 2 of 2) 10.0 points
If blue light of wavelength 408 nm strikes the
double slit, what is the separation between
the second- and fourth-order maxima?
Answer in units of m. An object is placed 10 m before a convex
lens with focal length 5.4 m . Another concave
lens is placed 8.09 m behind the first lens with
a focal length −2.6 m (see the figure below).
Note: Make a ray diagram sketch in order
to check your numerical answer. 011 (part 1 of 2) 10.0 points
A pair of narrow, parallel slits separated by
0.142 mm are illuminated by green light of
wavelength 546 nm. An interference pattern
is observed on a screen 1.17 m away from the
plane of the slits. 012 (part 2 of 2) 10.0 points
Calculate the distance between the first and
second dark bands. Answer in mm.
Answer in units of mm.
013 10.0 points
A possible means for making an airplane invisible to radar is to coat the plane with an
anti-reflective polymer. The radar waves have
a wavelength of 2.04 cm and the index of refraction of the polymer is 1.63. What is the
minimum thickness required to make the coating? Assume that the plane is made of metal,
so electromagnetic waves will have a π phase
change upon reflection from the plane’s surface.
Answer in units of cm.
014 10.0 points
A thin film of cryolite ( nc = 1.3 ) is applied
to a camera lens ( ng = 1.53 ). The coating
is designed to reflect wavelengths at the blue
end of the spectrum and transmit wavelengths
in the near infrared.
What minimum thickness gives high transmission at λ = 1024 nm?
Answer in units of nm.
015 10.0 points
The light reflected from a soap bubble of index
1.42 appears red (λ = 662 nm) at its center.
What is the minimum thickness?
Answer in units of nm.
016 (part 1 of 2) 10.0 points
Light of wavelength 875.6 nm illuminates a
single slit of width 0.89 mm. 1.59 mm S1 2 θ S2 L viewing
screen Calculate the distance from the central
maximum to the first bright region on either side of the central maximum. Answer in
mm.
Answer in units of mm. 0.89 mm lopez (anl973) – Homework 8 – spurlock – (42004) At what distance L from the slit should a
screen be placed if the first minimum in the
diffraction pattern is to be 1.59 mm from the
central maximum?
Answer in units of m.
017 (part 2 of 2) 10.0 points
What is the width of the central maximum?
Answer in units of mm.
018 10.0 points
Helium-neon laser light of wavelength
597.3 nm is sent through a 0.426 mm wide
single slit.
What is the width of the central maximum
on a screen 1.12 m from the slit?
Answer in units of mm.
019 10.0 points
Potassium iodide has an interplanar spacing
of 0.438 nm. A monochromatic x-ray beam
shows a first-order diffraction maximum when
the angle of incidence is 11.4â—¦ .
Calculate the x-ray wavelength.
Answer in units of nm.

 

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