3.Inthearrangementshowninfigure,anobject(mass:2kg)ishungfromastring
mass of
Jnd of string is tied to a wall ' If
that passes over a light pulley. The another
of the wave on this
string is 0.3 kg and length 6 m. Find the speed
5.oo
string' 5"'l-'
m-------*l
--T--
I.OO
*
m
trffi
2.O0 kg
;l,l
(A) 0.05 m/s
,r
l
+
@) 18.07 m/s
(c)+gtus t4E qn/:
(D) 20=8.mls
i;
-p&.F
i
J
* lr
,-tn
7
1M^D-l
/
-
/i\
tvl
sn
lt
*
l'2-
/'
/2
u
*- /,) )/c
>.
[,1/1"/'oJ
t_4-=
):
U
n r,(,\1"1
stn(h;-t)rc,JJs)-(s-vJ)f I r'1) )
to<
a: U'tt"
: lqJ
amw)
lC.
:1t
.t-n = O-3
LT_
traveling along shing is described by
Y(x,t) = 0'00327 sin(72'Lx-2'72t)'
2'72
units (0'00327 m, 72'l rad/m' and
in which the numerical constants ur" in sI
cm and Fl8'9 s?
rad/s). What is the displacement y atx:225
(A) 0'92 mm
@) 1.75 mm
-/(C) 1.92 mm
(D) 2.98 mm
,/ q. lwave
v
{ f'l
w
I
, t
A
2.00 kg object affached
external force given by
F:
tqB spring moves without friction and is driven by an
AxiilZntl.If the force constant of the spring is 18 N/m,
determine the amplitude of the motion?
(A) 0.049 m
(C) 0.675 m
&;: (D)4"4r-*-
*)'e;gqt
l.-
-ja"
i,
+
v
1)''
r
: (
il I - ,-) -|JJJ /
u't
,/
r
^
2y'
) ,,)
lt t; - 1v
VL
\,
r,l,-lqe'c4 \"
)/ a'n J
d,r,^1,* .16. *f
{
J ''.Jt
'
lr+ Y
I t
r
: r
n
pendulum
has a period of- 2.0 s on earth. What is its length?
v/(t) t.o m
(B) 2.0 m
(C) 6.26 m
(D) 39.2 m
T= i;;
*v
a-
N;
u
lh
,li
r
3
J.
L,
;?
r': t,/td'r
*
-{
u
I
i
,.x tj'l
f
V
o qg
T-'ti
iw1
?/
t-;Ii-rt
f'
{
(.
,kffit 'ji*l
?
l5
{\
-L
I
)
i,.
J'.\rs{
,
'ir ir; [-, f\, i';'
VL-"f/'
.Y,
5. Residents of Hawaii are warned of the approach of a tsunami (tidal wave) by sirens
mounted on the top of towers. Suppose a siren produces a sound that has an intensity
level of 120 dB at a distance of 2.0 m. Treating the siren as a point source of sound,
and ignoring reflections and absorption, find the intensity level heard by an observer
at a distance of 12 m from the siren.
(A) 10.s dB
(B) s2 dB
(c)
118.s dB
t04 dB tc
/(D)
A)
l,u.:-
1o
'1
\.
J.l
,l-. -
I Lrl fVt
{(
r+
towyvr'r^lh*,
d Le'c /
)rt
:
/,,'r tl
/b
rLi
0
L
r
6. A rocket moves at a speed of 242mls directly toward a stationary pole (through
stationaryair) while emitting sound waves at frequency f : 1250 Hz. What frequency
(A) 324sHz
/'(B) 4245H2
(C) s24s Hz
(D) 624s Hz
/t
iti
ltll
,
j
l)
^
)
|
,
od
"20 c
\
{\
\"./
i
a
{':f / v )i l
r
A*r->;tc>=*
-"5i,
{
t
/ i'2 ie.-,n,4.r-5J-Ltt.t
"ll a i f,
'-'T-^
-{
i f
t*-l"-/
T
L)
tv
1,, t,*'
Util'
IL
Z( a,
/
'J"&
/ / f 'ta6t
l0
=)
\ La/
/Jo'
?
a.q
_-
I
v-Us
494x l4t
/
/sso (.f 34i
)+3- aq L]
=
9af + o.6tT)
/
sum of two transverse traveling
7. What is the standing waqe that result from the
wavesgivenby
*h,t\," 'nu-[(trx+qnL) t
(:rx-4rt), I ]ba \ \r ) **
,.u"}:iYj
yi!"
.'
Yr:2.0sin
x}l."
J;:;::l"tffiTi],
and t is in
seconds
(A) 1'0sin (nx)cos(4nt)
(nx)cos(4nt)
(C) 4'0cos (zrx)sin(4rt)
Y,
(B) 2.0sin
-rpl
4.0si n (rx)cos(4nt)
v +''
i*
= .r
:.?.,
or,:o
l]*',,
Ento, hrr,(^la
3;' T'' ( v'+ Y')
+\, ' ')^ *i rrx (t"'* * e i
*
-t ",o (rt ( tnt 1
rAtr$u+tr1 )
&fr+Tt
2) ,
Ll :lrn (rrx)
cof
a standing
g. A string, fixed at both ends vibrates at a frequency of 12 Hz with
standing
the
if
needed
iioop. What frequency is
transverse wave pattern containing
wave Pattern is to contain 4 looPs?
(A) 48llz
(B) 36 Hz
,{C) r6Hz
(D) rztlz
-)i _i_
-cr(/
n
-2
:1t,t )id /)L ^J,
/t
-
^
/',
3
-A1
t - 4,1
4
/La*L4 rn
4
1t
o --{
i-
/^,/
')c)
)
-2
)'t
/L-
U--
,'' ///
tt-
-i-
-,
lI
ta /
e'/{\
rJ/a )k = , i ;11/t'o(/
rn-
* o)
;:;: : +::,#, *'u^r" ]ti1')""fri [I'o^'
+ sYn'ffx
X-
(*,.1h1.,q,
t" lrt \ - a-F
tu
!Jl7:
ltt
ta,/1
\r5
/
,
t
=.
)l
L l1-t
H*q
9. Consider a wave function
Y(x,t) = O.Smmsin2n(
t)
28.Ocm
0.036s.J'
Please find amplitude, wavelength, frequency and velocify, respectivery.
,>.(A) 0.0065 m, 0.28 m, 27.78 Hz, 7.7 B m/s
(B) 0.0065 m,0.036 m,27.78H2, 1.0m/s
(C)6.5 m,28 m, O.O36tlz,1.0 m/s
(D) 6.5 m,28 m, 36H2,1.0 m/s
q = n 5,ndf
l\
t.\+l
LI
1
Att
^al
l
I
trlli);
!'-)'
ta_./)il)
I
I
rO. e
with a stesl structurey-Gsf mhigh on a winter day when the
temperature is -17.
er (in cm) is the building when it is 37.78'C? (The
linear expansion coeffi cient
is l1 x 10-6 ("C)-t.)
(A) 71
(B) 36
\.
{(c)
1L
\-.
----- .\
-:
.,-)
/
4L,Lt -'41YrJ')(t5u)t
(-) Zq n
I
/+ U C ^v,rt
n
-,
ulri'e A
2.7
"7t+11"\f )
at the same
I 1. Two bodies can be in thermal equilibrium with one anoth-egwlen they are
if they
ture even lt
temperature
n-n
(A) absorb di{Qrent quantities of therr2gLdrgy from their surroundings in equal
they
--n-'
time intervals.
(B) have different
(C) have different
Aol
'\*. :r t
have any
-=:-
is 0oC' The
12. A super-insulated house is at a temperature of 20oC' The temperature outside
energy
much
how
surface area of the house is 200 m2, and the emissivity is 1. Approximut-ely
is radiated (in \M) per second? (Stefan-Boltzn1rnn constant, o 5.7r10*W
,
:
lmzKa1
C,-tJr'!-- J1\
T^
'4"'4 =
-{ -- .Ar + J'13t **">
8.,t,no0
(B)2000 AJcl o
-/(A)2OOOO
(C)200- &-oy
(D)20l-
t-
&Y
;-Znto-r"l
)
c'v
-- tt)( l
q
xFtr)r&()o)
w
(
t\
?^
a )-)
nA
a-r\
a1-
d
c{ I ,
t
I
)
lL
lC
An ideal'gas in a chamber passes through the cycle shown below. The process C
A is an isothermal process. Determine the efficiency of the system.
13.
to
--'t'":
?a tl
P(x10a
a
,:
ir
,n
il
.'l-\'
,n')
IN
,'(g)
(c)
p)
%
15.62%
18.e8 %
20.30 %
I::
""-A-=
np
-
w'-l= d iCl (n J
- tlrt. -TU
- ) - *:: ,-,*,/^
( 't,Yt: "rrq-a4r]ro.,)=/q7rso -f
6 Cu
/s
bC
.
\lv
--
Cal
o',u,
PY-('"[a] )
*. (":)'
oi
6 5 f l' {n l
- (o rn,i-u yJ )-'
t}.tt
,
- ^
L-n
:
;ff F(
6sqt.61 s
/-\
rfP ( /a-t,A )
Clt " :
{}
rl
t^
JYg
,4
n=-/tl=
t {"t:
prt-?-
tl
/
(
6
A.r{l4to )t=Dl
L
t
Gin
t,..
-- /
u-b'i)
I
J
-
tACo0.i
/- / q -/
/).o1-/-
--
ideal monatomic gases are in thermal equilibrium with each other.
ts
lecules with mass mwhile gas B is composed of mol
with mass
4m.The ratio of
molecular speeds v1/v s is:
A) U4
B) U2
c)1
D)2
I
-l
I
w
'b1 /A =
)u
T
q- lt--
6\
I
4 v-\tr- = 2tnn I
d
od
\-
/tt
lll
r-"
Ij
/
.7
---)l'i 4^&, V^
r)
:/
+
17. Determine the change in entropy (in J/K) when 5.00 moles of an ideal gas at OoC are
compressed isothermally from an initial volume of 100 cm3 to a final volume of 20 cm3.
-67
-. <A)
(B) -82
(c) -101
(D) -l l5
!'-,, / J*r"-''
;'
b-.- )liJv=
{
'-
1,
k'U
,
l'{
tt
=
/
/
-
.{ /
.npT/yfV, )_-f, lrit,r)){;:*tj)jnLlu
'fr
Y '
Jri,),:tT _/v:
vl
-- '-i - lv
Q=\rl
/
rv : -l?,)t,)
--r,
t"t'
G_
"-1I
18. Some species of whales can dive to depths of one kilometer. What is the total pressure
they experience at this depth? (p""u: I O2Okglm3 and 1.01 x lOs N/m2: 1 ATM.)
(A) 80 ATM
(B) 90 ATM
/'(C)
100
(D) 110
ATM
ATM
c:
"1
,.4L)
tl1l I r
I
:4-/ '
P--+J
rr,)(.
,'4
1E
\
*_ c,
r
i/--f,i_'r.1G__-()c
, tt,frJ
{-.ro
v'
'la
n
P
:
'') + 'i"
11
"
1
:.i
,,
- '--.r- ,"-/t
tt
P : lJ-r3Vn
I
/.at x l|t- + /oJaxq t x looo
1_
=- lo"Oqn\l]b
= 4C
/ /" C1
t t r\r,.'tA^
/ln
r loo ATw)
,trr"',
10
shown is used to transfer liquid from a higher
level to a lower level. If
t ' the
l' fluid
In:.t]olon
is drawn up and is continuous through
the tube, determine the velocity of
flow of gasoline if the vertical distance from
the liquid surface to the outlet is 1.0 m.
(A) 2.2 rn/s
(B) 3.3 m/s
7(C)
4.4 m/s
(D) 5.5
m/s
.
6
i - ., :,4
,),/^ : p,; +,/J:,, ,/,;
*./J'lt
J'-"v''
.,il-rD''''
0: 9'4 - /€'t'
-L d'r','
..r
\
c,
_
I
VJ
L
\uY
-i*!
- ::t
v,
-(a
=
Ja{o )(t)
4 4- 'w/"
20. A cube of water ice (p:0.917 x tO3
kg/mr; is placed in mercury
@: 13.6x 103 kglm3),
which is liquid at 0o Celsius. If we ignore
any possrble melting of the ice cube and problems
with the surface tension of mercury,"the
fraction of the ice cub"e that floats above the surface
of the mercury is
,161o.stl
(B) 0.e01
o.gzs
(D)o'652
4rr*_F_o
(ci
--tr
/=+'
a
-
- hr,*ri
r_
F
e i, {
v
t:w {.
'^-./ /:4
"/C_L (/
h
* C/-*
\rrjtq.V.
,F n.r,
U't z r
o q,,//'7 {'l;
7T, , ry'
fL
.. ./t4
vcUb./1
L
/-) Lr^
*
I
1-
O
A
o{7q = o.j3Z