Download 1oo - Ryerson Mechanical Engineering Course Union (MECU)

Obtained fromPage
Ryerson's
Mechanical
Engineering
Course
(MECU)
• Read this Instructions
and
SIGN
IT near
theUnion
bottom.
(No mark will be given without a signature)
•
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This is a closed-book test. A formula sheet is attached at the end o(the exam booklet. Please detach this page for use during the Examination. No other page(s) in the exam booklet can be detached. No other aids are permitted. You are allowed to use ONLY the formula sheet provided
with the examination. In particular, the preliminwy formula sheet posted in Blackboard is not
allowed during the examination.
The only calculators allowed are either the Sharp EL-546 or Casio FX-991.
This Term Test consists of fourteen questions. All questions are of the same weight. The fourteen '
questions will be added to form the final tally. An extra optional question is given for additional
marks. Marks will not be deducted if you do not answer this optional question.
You have I hour and 30 minutes (90 minutes) to answer ALL questions.
All the questions are multiple-choice.
For each question:
o Write the correct choice (A, B, C, D or E) in the assigned frame.
o IMPORT ANT: In the space available below each question, yoy]yfUST_IIT.Qvide a derivation_
of the answer to the problem. 'Fl'l.e derivation must be correct and must match the multiplechoice answer that you chose. If no work or correct argument is shown, the resultant mark
·
may be zero, even if the answer in the bubble sheet is conect.
o You must transfer your choices to the bubble sheet. Transfer your choices to the bubble sheet
Q!!]y_wh~!l}'ou: re sure ofthem.
You have at your disposal two empty Utility Pages at the end of the examination booklet. You
can use these for derivations or for rough work. If the derivation of the answer to a question is in
one of these extra pages, please make sure to write a note to that effect under the question, as these pages will not be considered otherwise.
Sharing of pens, erasers and calculators is not pennitted.
Talking to another student or glancing over another student's paper is not permitted and may result in a charge of academic misconduct.
All cell phones and pagers must be switched off and placed in the bags in the front of the room.
Place your Ryerson photo ID on the desk.
Do not detach any pages. (except theformula sheet) Make sure that you have all pages with alliS
questions before you start. Inform the invigilator if your booklet is missing pages.
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Test Mark
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MECU
Page 1 of 9
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PCS 213 - Physics: Light and Modern Physics
1)
An optic fiber is made of clear plastic with index of refraction of 1.50, surrounded by air. For
what angles ofObtained
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A 4.0-cm tall object is placed 60 em away from a converging lens of focal length of magnitude
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30 em. What are the nature and location of the image? The image is
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. real, 2.5 em tall, and 30 em from the lens on the same side as the object.
/'lK virtual, 2.0 em tall, and 15 em from the lens on the side opposite the object.
d. real, 4.0 em tall, and 60 em from the lens on the side opposite the object.
yK virtual, 4.0 em tall, and 60 em from the lens on the same side as the object.
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3)
Light from a monochromatic source shines through a double slit onto a screen 5.00 m away.
The slits are 0.180
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be 1.70 em apart.
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What is the wavelength of the incident light?
612nm
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A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency
of 5. 75 x 1014 Hz that is incident normally on the pane. If the material has an index of
refraction of 1.375 and the glass has an index of refraction of 1.537, what is the minimum
thickness the coating should have?
a. 60.0 nm
b. 65.2 nm
c. 80.1 nm
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5)
A single slit forms a diffraction pattern, with the first minimum at an angle of 40.0° from the
490-nm
wavelength.
What is the width of the
central maximum,
monochromatic
light of Course
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slit?
a. 700nm
b.
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If an x-ray beam of wavelength 1.4 x 10-10 m makes an angle of 30° with a set of planes in a
crystal causing first order constructive interference, what is the plane spacing?
a. 0.28 nm
0.14 nm
c. 0.070 nm
d. 0.16 nm
e. 0.32 nm
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Page 4 of 9
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7)
An object 4.0 em in height is placed 8.0 em in front of a concave spherical mirror with a focal
length of magnitude 10.0 em. What is the position of its image in relation to the mirror, and
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what are the characteristics of the image?
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b.
c.
40.0 em on the other side of mirror, real, 6.0 times bigger
10.0 em on the other side of mirror, virtual, 10.0 times bigger
40.0 em on the other side of mirror, virtual, 5.0 times bigger
-~"""' 18.0 em on the same side of mirror, virtual, 2.25 times bigger
.JY. I 0.0 em on the same side of mirror, real, 6.0 times bigger
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A slit of width 0.010 mm has light of frequency 5.0 x 1014 Hz passing through it onto a screen
60 em away. How wide is the central maximum?
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Page 5 of 9
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9)
A double-convex thin lens is made of glass with an index of refraction of 1.52. The
of the radii
of curvature of the faces of the lens are 60 em and 72 em. What is the
magnitudes Obtained
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focal length of the lens?
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10) At most, how many bright fringes can be formed on each side of the central bright fringe (not
counting the central bright fringe) when light of 625 nm falls on a double slit whose spacing is
1.97 x 10-6 m?
a. 1
b. 2
e. 5
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Page 6 of 9
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11) The speed of light in a material is 0.50 c. What is the critical angle of a light ray at the
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interface between
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12) The spherical side mirror on a car is convex and has a radius of curvature of magnitude 25 em.
Another car is following, 20 m behind the mirror. If the height of the car is 1.6 m, how tall is
its image?
a. 2.0 em
b. 3.0 em
c. 5.0 em
d. 4.0 em
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Page 7 of 9
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,. 13) An oil layer that is 5.0 em thick is spread smoothly and evenly over the surface of water on a
windless day. What is the angle of refraction in the water for a ray of light that has an angle of
Obtained from Ryerson's Mechanical Engineering Course Union (MECU)
www.ryemecu.com
incidence of 45° as it enters the oil from the air above? (The index of refraction for the oil is
1.15, and for water it is 1.33.)
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14) A fisherman in a stream 39 em deep looks downward into the water and sees a rock on the
stream bed. How deep does the stream appear to the fisherman? The index of refraction of the
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water is 1.33.
a. 52 em
b. 45 em
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Page 8 of 9
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Optional Question
For
extra marks
Obtained from Ryerson's Mechanical
Engineering
Course Union (MECU)
www.ryemecu.com
15) A double-concave lens has equal radii of curvature of 15.1 em. An object placed 14.2 em from
the lens forms a virtual image 5.29 em from the lens. What is the index of refraction ofthe lens
material?
a.
b.
c.
1.82
1.77
1.98
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