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Unformatted text preview: . FORMO A woman can see an object clearly when it is held at a distance of at least 30 cm from her
eyes. At least at what distance should she hold a ﬂat mirror in order to see the image of her face clearly? __ E
[A] 12.5 cm [s] 15 em 25 cm [6330 cm [E] 60 cm 4145 Z14 ‘ A ﬁsh swims 1.00 m below the surface of a pond. At what apparent depth does the ﬁsh
' iewed from directly above? The index of refraction of water is 1.33. .75 m [C] 1.00 m [D] 1.33_m [E] 1.50 m appear to swi [A] 0.67 m 16 A crown glass 71 = 1.52) biconvex lens of radii R1 = 24 cm and 12:; = —44 cm has a.
power of: [A] 0.90 D [B] 1.2 D [oi 1.5 D [D] 2.7 D D 4] Light of wavelength A0 in vacuum strikes a lens of index of refraction m = 1.6 which is
coated with a ﬁlm of thickness d and index of refraction n; = 1,4. For which conditicm’ can there be 110 reﬂection at normal incidence? ?\
[A3 20 = A../1.4 [B] 2.1: Ao/1.6 [0] 20! = A0/2 7b); :. ‘ 2d = Au/3.2 kw] A meter stick is found by an observer to be 0.80 m long‘. At what speed relative to the erver is the meter stick moving?
[A] .60 e [B] 0.80 c [C] 0.95 c [D] 1.3 c 2.7 c A particle travels at speed 0.60 c. Determine the ratio of its kinetic energy to its rest 323W .
{290.25 [B] 0.50 {C} 0.50 [DJ 0.64 [E] 0.80
IA A polychromtic narrow beam of X—rays impinges on a crystal at 30° to a set of atomic “U/ planes. What Wavelength will be reﬂected from these planes at the ﬁrst order (m = 1) if
the spacing between them is of 0.10 m? 0.025 nm 0.050 11.111 ..10 mm [D] 0.20 nm 0.40 run
I AF [8] The wavelength of the least energeEf'photon emitted in the Lyman series (n; = 1) of
” atomic hydrogen is: 75 nm [B] 91 nm 97 nm 104 nm [E] 2 11111 C [9] Zinc has a work function of 4.25 eV. The thetshold [requehnfr or photctemjssion is:
 [A] 2.4 x 1014 Hz [13] 8.2 x 101* Hz ' [cf/1.0 x 1015 Hz [D; 4.2 x 1015 Hz 7.5 x 1015 Hz '
41 I 
\ 10] The change in wavelength of photons Compton scattered at 60° is:
\ pm [B] 2.4 pm 8.2 pm 1 24 pm
J'll
I. iiiem —n..—_.,
D [11" A 1.0—c111 high object is placed 30 cm to the left of a. ConVerging lens. of focal length
f1 = 20 cm. A concave mirror of focal length f2 = 15 cm is located 70 cm to the right of
the lens, as shown in the ﬁgure. The lens and the mirror have the same optical axis. (3) Locate the ﬁrst image (due to the lens) with respect to the lens and to the mirror. (b) Locate the ﬁnal image (due to the mirror) with respect to the milton (c) What is the size of the ﬁnal image? Is it real or virtual? Is it upright or inverted with
respect to the initial (LOcm high) object? W?0cm —'=' Si2 = 30 cm to right of mirror ) '0 ()i'ZL/l
’1 "’1' m, iFtFi' {Thl [i‘l its mrra' [12} Light from a sodium lamp has two strong yellow components of wavelengths: A1 =
r 589.59 mm, and A2 = 588.99 mm. This light falls normally On a. transmission grating
that contains 10,000 lines per centimeter, and then on a. screen located 3.0 meters frOm
the grating.
(a) Find the angles 01 and 62 at which the ﬁrst order (m = 1) maxima corresponding to A1
and A; will be found. GiVe your results to ﬁve signiﬁcant ﬁgures.
(b) How far apart will the lines Corresponding to these two ulnarij be found on the screen?
(Note that the small—angle approximation is invalid in this case.) .«M : aimsMW M gggﬂﬂxm'q
f  LQE p chr
"1 Tomol. '3 m/‘ﬂ ~ IMO/W73
(mom
(‘17 \xlb'l’m {I} a 5m r —‘ m) 1 r LEW5W l“ : r6  mow
W? exha :‘ .GBQ5QD /
9'1 :— 0 430102: m) 2 ix 101.9102: 1 (SgboquQﬁj n ’) ‘
7% "7:67 7 “W
ﬁlm/a! a” 9‘3 8 $00 *3” 2. L 25.085 L/ if." I ﬂ
fjﬁﬂy’ﬁ ﬂing? : 2~ [8m m
3 30. 55 1,5’ f “Zelgetlm
an
H o l ( __
.J\ 4/ I I i a (70330 n‘. L/ Ay = 0.00350 rn FORM [13: Two spaceships are travelling in opposite directions along a straight line that intersects t]
Earth and a. spaCe station which is stationary with respect to Earth An observer on t]
space station sees each spaceship to be moving at speed 0.90 c. [3) Determine the relative speed at which the two spaceships are moving with respect to 68.1
other. (13) According to the space station observer, it takes one of these spaceships 10 hours than the path between him anti Earth (moving at the same speed). How long doesr it take 1
cross this path according to observers on that spaceship? Q6047 T37
. " DC 163642 0552567 0% L) __ ' """" ‘:——_..._EH_ I
1577a LNG ‘ Lt 
‘1 Let =_.' Ato / «10.31 I —~— __ 1/I36,000 = Ate/V0.19
 1.
./ ...
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 Fall '09
 KOROTKOVA
 Physics

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