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STUDENT NUNIBER: K . CENTRE: OKANAGAN UNIVERSITY COLLEGE DEPARTLIENT OF PHYSICS AND ASTRONOMY Physics 122  All Sections  All Centres
FINAL EWATION
Friday, 27 April, 2001 Time: 9:00 12:00 am.
This exam contains pages numbered 1 through 16 and a diagram ongraph paper. Instructors: D. Kay, C. Melin, D.D’Brien, T.Wrzesnjewski lustrugtions: 9 Not: Use: I: = 9.1}Dx1ﬂ T e = l.6leﬂ"°C ,u" = dearth?"T T—m
C Calculators and a two sided formats sheet can be used. Answer the questions in the space provided. You ma}.r use the backs of pages for calculations if necessary. You must clearly: show your metth to
receive Ell credit. If you cannot solve a part of a question and the result of that question is needed to do
the remainder of that question, you may invent an answer for that question part, (and clearly state, that the
answer is invented) and proceed with the remainder of that question. am _‘ #11 . Total Pl'IYSlES '22, Final Examination 2m“ Fag:  Part 1: Multiple choice questions.
Circle the letter corresponding to the correct answer. There is only' one correct answer for
each question. Each question is worth one mark 1. Atmospheric pressure varies from day to day. What happens to a ship on a lake if
atmospheric pressure increases? a} it ﬂoats higher in the water compared to a low pressure day. It ﬂoats lower in the water compared to a low pressure day.
it stays submerged to the same level compared to a low pressure day. d) It depends on the shape of the ship. 2, Mark ruhs a piece of for on altard rubber rod. giving the rod a negative charge. What
happens? Protons are removed from the rod.
Electrons are transferred to the rod. c) The for is also charged negatively.
d) The ﬂu is left neutral. 3. The electric ﬁeld at the surface of a positiver charged conductor has a direction characterized by which of the following? T
a} Tangent to the surface. (—1
b} Perpendicular inward towards the charge. 4' A. At 45° to the surface away from the charge.
Perpendicular outward and away from the charge. 4. If the distance between two point charges is tripled, the mutual force between them will he changed by what factor“?
a) 9.0
b) 3.0 a 5. A parallelplate capacitor is connected to a battery. The distance between the plates of
the charged capacitor is now doubled while the capacitor remains connected to the battery. Winch statement is correct? 8 ad
6‘ 0 a) The charge on capacitor remains the same but the potential difference doubles.
b] The charge on the capacitor is doubled and its capacitance is doubled. The charge on the capacitor is doubled and the potential difference stays the same. L ._ The charge on the capacitor is halved and its capacitance is halved. k V J b Physics 122 ., Final Examination 2001 Page 2 l. The graph below shows the potential difference across a resistor as a function of the
current through the resistor. The slope of the graph represents: a power if
resistance , c} ernf
d) charge
c) work per unit charge 1.. 2. A wire is lying horizontally in the Ydirection and a horizontal magnetic ﬁeld is in
the X—direction. There is a current] in the wire in the negative Y direction. The
direction of the magnetic force on the wire wil! be: Y
a} in the Xditection l
b) in the negative Y direction X
down, into the page 5 0
up. out of the page. T e) there will be no magnetic force acting on the wire. 3. A bar magnet is falling through a loop of wire with constant velocity. The north pole
enters ﬁrst. As the south poie leaves the loop of wire, the induced current (as viewed from the above) will be:
0” clockwise 5 h} counterciockwise
c} zero
d) along the length of the magnet. 4. When light from air hits a smooth piece of glass with the ta},r perpendicular to the
glass surface. the part of the light passing into the glass: E will not change its speed __L will not change its ﬁ'equency
c) will not change its wavelength
d) will not change its intensity. 5. Which of the following effects is the result of the fact that the index of refraction of
material will vary with wavelength? a) Spherical aberration, 13 Virtual images (:3) Chrornatic aberration
{1} Light scattering
c) Mirages. Final Examination 2001 Physics l22 . Page 3 PART 2: Solve the following problems: 1. A large piece of cork weighs 0.285 N in air. When held submerged under water by a
spring scale as in the picture below, the spring scaie reads 0.355 N. The density of
water is 1.00 x 103 kgimi. a) Draw a FED showing all the forces acting on the cork. [‘2] 1)) Find the buoyant force acting on the cork. [1] [Sb : 0.285 r 0.853.: I. III/d c] Find the volume of the cork. [2] 4/, = 1.199
€320 _ : Iério'im?’
W 1.00n03ﬁ3'19175‘
d] Find the u'ﬂmlsitj.r of the cork. [2]
m : 59355;
3 ' v av
14'
§ ' we?“ Llérto  4/ _ Physics 122 . Final Examination EDGE Page 4 2. A Utuhe open at both sides is panime ﬁlled with water. (pm, = LOG x 19’ kgimﬁ.
on [pmI = “:50 kgz‘m3) is man poured mm the right arm unhe Utuhe and fauna a
column L = 5.00 cm high. Determine. the difference, 11 . in the heights of the two iiquid surfaces. [4] Physics 122 , Final Examination 2001 Page 5 3. Three charges ql, qz and q3 are located as shown in the accompanying diagram. q1 = +9.00 mC at (0.00, 000m
q;“—“ 4500 Inc at (4.00, 0.00)m
q3= 2.00 Inc at (0.00,—3.00)m a) Calculate the magnitude and the direction of the electric ﬁeld E at the location of the
charge q; due to the charges q; and qzl [4] —5 q’m99 “’0)— (Max/05 if
I 32 $20
—7 3) E  ELL" 62m , mm c . W
23/ ~ 52 9’ 360 h‘ V
0 6 —, .6
E _ E can; = 12mm ﬂ/ 9— 52¢
2x 2 C
F E ' a : [(06%
“.23 = 25cm '5: 0 , ‘7..00)y106% 51(0))(10‘5’5 _ { 7.20 / 'Ziwjx/O —’7 EM! b) Calculate the magnitude and the direction of the electric force F ' on q; due to the
charges (:11 and Q2. [2] lﬁlwﬁh W'O" "' 6% E: 3707/0 4;” d "2&1"
Q : igo°—20.0  '5 F: 1.0/x109Nmf/531,” Physics 122 , Final Examination 2001 Page 6 c) Calculate the absolute electric potential V at the location of q; due to the
charges q] and q2. [2] NW JM) :léqu
V T l 71 z)
4_ (ta0" [001% ~25’x103) S :1.
Vzmrw l/ d) If charge q; is released at rest from its position at (0.00 , 3.00) m, calculate its Speed
at an inﬁnite distance from the origin. The mass of q; is equal to 2.00 kg. [2] A +A?E :0
 =7
’EY—Z _— (2.00 no )(«Wqu
2
' 1
V2: W2 mm; 3.6,! 2.00 2
Speed: Physics 122 , Final Examination 2001 Page 7 e) Calculate the total electric potential energy of the group of charges q1, q2 and Q3 in
their conﬁguration in the diagram, (Hint: How much work would an external agent
have to do in order to assemble the group?) [4] (PE = What w12+ (4113 k ‘r'
= 0+ 12 7?? + q5(—/.9<10*)  x q 4’ “3) " + ?E . (25:10)(q'0 "9 W: m +(o2.01!03)//.?x/Uﬂ LI.1 x [0? H 506;: (0g + 0.36110" : S, Energygmup= " Ll ’1 Z Physics 122 , Final Examination 2001 Page 3 1:1 1, I} 4. A hair dryer is rated at 1260 W for 120 V . The uniform wire ﬁlament breaks near one
end, and the owner repairs it by removing one section near the break. and simplyr
reconnecting it. The ﬁlament is then 10.0% shorter than its original length“ What
would be the netsr power output of the heater ? ( Hint: think about how the power
depends on resistance when the voltage source is ﬁxed.). [4] .a 'r Physics l22. Final Examination 2001
5. Consider the circuit presented below. to“:
10.0.
a) Find the currents I j ,1; and [3 in the circuit. [5].
1:.
ﬂ.
1.0a a.“ H.041 1:: i ’  . I2: ' {a ‘3} r.) , [3= 1)) Calculate the potential difference hehveen pains a and b. [2]. lavaii = E) State clearly wiiieh point has me higher potential. [1] Page 9 Physics 122 . Final Examination 2001 Page 10
6. A singlyr ionized E‘Mf ion (mass 3.933 x H} '25 kg) iniﬁaliy produced at rest in a ﬁzmance is accelerated through a 2.5043? potential difference before entering the
magnetic ﬁeld B of 553‘r mT in a mass spectrometer. ﬁeld [3] V= “95 “V5 13) Find the radius of the curvature of the orbit for the ion. [2] Mk. 3&5 R
and)”
f5 I]
“S Q : ‘I
I
K
H
I
N
I
l
x Physics 122 , Final Examination 200] Page 1! '3. Two long parallel wires, 15 cm apart, catty currents l; = SﬂDA and [2 = 10.01) A as ShOWTL :1) Find the magnitude and the direction ofthc magnetic ﬁeld at half the distance between the “rims. [it] _ _ ﬂoIl
G 5' 17rd; 11d
6> 152 ~. MI?
Ed 1:} Determine the position where the magnetic ﬁeld is zero. [2] X' l.':*" i! r i
3i x lrar
i L .5: 1.9L.
I. i I " '“"
1' gﬂpg):l01’
. of _ n
3‘23? ﬁsh’jx ,
. _. 1.3:,— m
if ""—'' {05) . [gang's—7‘ Q ‘Ido +94!
' We Physics 122 , Final Examination 2001 Page l2 3. A single leap, 1.5t) m by 2.110 In, is placed in the plane of the paper. it is connected to a
20 ﬂ resistor. There is a Lutiferm magnetic ﬁeld B = 5.00 x 10‘2 T directed into the
paper, as shown in the diagram below. x :w.
k. '5:
i $1}: 14:: .941
_ '>t w
‘3' a) Calculate the magnetic ﬂux through the loop. [I] b} The leap collapses, at} that its cross sectional area is zero, in LSD 5. What is the
magnitude of the average induced emf in the loop? {2} emf = c} Calculate the magnitude of the average induced currentl in the resistor R . [1] (1} Show the direction OH in the diagram alrever [l] Physics [22 , Final Examination 2001 Page 13 13;, K 9. An 11115 AC voltage of sow is applied to a circuit containing a resistor of 25:1. 3.) Find the maximum voltage applied. [1] 1:) Find the maximum current passing through tile resistor. [l] c) Find the rms milrent passing through the resistor. [11 :1) Find the average power dissipated in the resistor. [1] 1 e) If an equation for the voltage across the resistor as a ﬁmotion of time t is: Wt) = 80.0 sin 12m (volts), what is the frequency of the appiied voltage? [I] i0. Physics I22. Fina} Examination 200] Page [4 10. A beam nfrecl light is incident on an equilateral glass prism, as shown. The angle nf
incidence is 30.0”. The index ofrefraetion of red light in the prism is L40. 3) Find the angle of reﬂection 6'1 . {2] b) Find the angle of refraction 9: . [2} 1 3"] 'l  c) At what angle El; does the beam emerge fmm the other face of the prism? [i] Z Physics [22, Final Emuinetiorl 2601 Page t5 1 l. A compound microscope consists of two converging lenses: an objective lens and an
eyepiece lens, as shown in the accompanying graph paper. The objective lens has a focal length fa = 15.0 mm , and the eyepiece lens has a focal length i], = 25.0 mm . The
lenses are placed at a distance of 61.0 mm apart and the object is placed 24.0 mm from the objective lens. ( see the diagram on graph paper). a] Using the thin lens equation, calculate the position c1U of the image 10. [2] i= i i
J:— J." i.L if Wm“
t5” 2” ti” WM b} 0n the accompanying sheet of graph paper, draw a ray trace to ﬁnd the position of
the image from the objective lens. Label it la. [2] —7 Pitta“ c] Circle all the words that describe the image: [1]
@ erect, (magniﬁed) virtual , @ diminished . d) Calculate the magniﬁcation M, of the objective lens. [1]. Ho: " F's"la: “36.;
E at: run:  21;? e} Using the thin lens equation, calculate the position of of the image 11' relative to the
eyepiece lens. Give your answer with respect to the objective lens, State, whether the ﬁnal image is to the left or to the right from the objective lens. [2] 13? 6t—hor2ihe. 15’ lie“ii J—eJﬁL— 25' 2—! #
J ..ui. : J? qr: "'SLSMM 2: at .f —— Physics {22, Final Examination 2001 Page It? E) State whether the final image is to the left or right of the objective lens. [II we, MM . Circle all the words that describe the image If. [1] an I!& W W“:
orbs“ a r— e cw .
real , erect; _ magniﬁed  , inverted . diminished "r h) Now complete the ray trace to ﬁnd the position of the ﬁnal image and Eahel it Ir. {2] i) Calculate the total magniﬁcation of the two lenses. [1] __ 45L'5: 4.. MWW'H‘ H" 2*) 11m» p1“: Qt.61)(6.2r):—t0‘4 “W
i
Mﬂ= "l0 E1
j) If an object were 0.5 mm in diameter, how large would it appear to be using this
microscope? [1] QS‘x'O‘t = 52”“ diametermm = Q “"1? . _,._______.
" ...
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 Winter '08
 Wrzesneski
 Physics

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