PAT2 . 53 ˘ˇ 1 : ˝˛˛˚˜ 4 #blog.eduzones.com/images/blog/exam/file_2016100470638.pdf˘ˇˆ˙...
Transcript of PAT2 . 53 ˘ˇ 1 : ˝˛˛˚˜ 4 #blog.eduzones.com/images/blog/exam/file_2016100470638.pdf˘ˇˆ˙...
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PAT2 . 53
1 : 4 "#
$% 56 ' 72 (*+," 17 $%) $%. 3.0 . "0 51 . +,1231%4,
g = 9.8 m/s2
h = 6.6 × 10-34 J@s
c = 3.0 × 108 m/s
kB = 1.38 × 10-23 J/K
R = 8.31 J/K.mol
NA = 6.02 × 1023 IJ,
√ = 1.414 √ = 1.732 √ = 2.236 √ = 2.646 ln 2 = 0.693
e = 1.6 x 10-19 C
G = 6.67 x 10-11 m3/(kg.s2)
= 3.14
2,"P12$%Q2%*, R
http://www.onetresult.niets.or.th/ExamGATPAT/
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56. #R,#"R " [ 2 )*+*,
- . ./0- 1 230,45678()2-4) 2-1*6
23 = ½ (6+2)x3 + (-½ x2x1) = 11 m
- . D) 1 8 0-2 ) 60.44 (3-0)/(2-0) = 1.5 m/s2 )66782-
8 4-6 ) 60.44 (0-3)/(6-4) = -1.5 m/s2 )046782-
- . D) 160.82--45 )43)04670-)4060.*
82-4)67)82-
$% 1.
57.
#RR.\,# " [ 2 /04*I
)*+48 m1
* ∑F = ma *1 F = m1a1
F = 8m1 ---(1)
)*+48 m2
* s = ut + ½ at2
F m1
a1 = 8 m/s2
t = 2 s
s = 48 m
m2 / m1 = ? F m2 m2
u = 0 a2
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48 = 0 + ½ a2(2)2
a2 = 24 m/s2
* ∑F = ma *1 F = m2a2
F = 24m2 ---(2)
(1) = (2) , 8m1 = 24m2
=
$% 3.
58.
#RR, .] RR,
" [ 2
)*+/04*I Q)4+-8/ *)4 4.R/+1104RR 1104RR F 67 0.5 cos30 663-R F , W = F x 0.5 cos30
W = 40 x 0.5 √
W = 17.3 J $% 2.
30° F = 40 N
0.5 m
0.5 cos30
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59.
#RJ,]#21I4
" [ 2
/04*I
* 4-/86Q-6 E =
E = /∆/
Q8 A EA = /
∆/ ---- (1)
Q8 B EB = /
∆/ ---- (2)
(1) / (2) , = /
∆/ / /
∆/
= /
∆ / /
∆ (L0A = L0B)
=
∆ /
∆
= 2
(
∆ /
∆
= 2)
= 2 (EB = 2EA)
AA = 4 AB
dA2 = 4( dB
2)
dA2 = 4 dB
2
ΔL
F F
L0 A *I\ ∆
/ ∆
= 2
L0A = L0A
R81 EB = 2EA
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dA = 2 dB $% 3.
60.
#RR.\,#
" [ 2
/04*I QR R81)4+-8/
*/42- )*+ 4R1\ 2 R 2-3\6 R81R]))) 238),0I1\67 82-R) * ∑F = ma N - W = ma N = W + ma - 1 , 2 R813 D) 1 77N 67 W *13-/674 a ^-*4_ + , - 2- 0 5 - 4 ./0- 1R))1\67 238),0I467R]))) 238),0I1\67 04]82-- 3 -)06 $% 4
N
a W
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61.
#R#
" [ 2
)*+/04*I
*/0\R782(*Q\) 82- 1 -7867 0.4 )
663118282-8 0.4 )67 = 8 m -605-82 * v = v = !".
v = 20 m/s $% 2
62.
#RJ,]02I
" [ 2
)*+/ Q)4+-8/
L/2 W
B L/4
A L/3
W
()
12 m
()
t = 0 s
t = 0.4 s
t = 0.2 s
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)*+Q48-
∑M = W(L/2) = WL/2
∑M04 = W(L/6) = WL/6
∑M > ∑M04 6634-/Q48 - 1. D)
0- )4 ∑M04 67 WL/2 - WL/6 = WL/3 2--/Q48
- 4 ./0- ∑M04 )4367 (4/3)W(L/4) = WL/3
$% 4
63.
#RR
" [ 2
/04*I Q)4+-8/
*/Q6 --Q)Q663 1 R8163 4 411-8\-67 3λ/2 * v = f λ 340 = 400 λ λ = 0.85 m
663 3λ/2 = 3(0.85)/2 3λ/2 = 3(0.85)/2 3λ/2 = 1.275 m = 127.5 cm
f = 400 Hz
v = 340
m/s 663 1
λ/4 λ/2
663 2 663 3 663 4
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$% 2
64.
#R$RQ1
" [ 2
/04*I Q)4+-8/
*]- Q68 ) = *
+, =
*+-
-
, = *
-
, = .""/0.!
0
-
, = 100 -, = 10 $% 2
65.
#R$RQ1
" [ 2
/04*I Q)4+-8/
F = 49 N . A
64 R
W = 500x9.8 N
. a
64 r
-, = ?
R
r
V
v
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*)4 ,,Q1 (Av) --8 + 0\Ri8-8406Q4-
Q440-2- A1v1 = A2v2
1R2V = 1r2v R2V = r2v
$% 3
66.
#R",0%
" [ 2
/04*I Q)4+-8/
* ∆Q = ∆U + ∆W ∆Q = nR∆T + 0 2493 = x5x8.31x∆T ∆T = 40 (-+n/4)-RoQ )43) $% 4
67.
#R#041_Q`,
" [ 2
Q_8204 4Q4.\)] 8^6
∆Q = 2493 J
n = 5 mol
∆W = 0 ∆T = ?
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$% 1
68.
#RQ`, .041_ 2
" [ 2
/04*I Q)4+-8/
+14-0-I644 41RQ8*67 I1
*/ E = I1r + I1R
12 = I1x1 + I1x3
I1 = 3 A
+14-0-I4 41RQ8*67 I = 2 A R811RQ,,q686767 I2
* I = I1 I2
2 = 3 I2
I2 = 1 A
R82-,,q6867-4-0-I V2
* V2 = I2(R+r)
V2 = 1x4
V2 = 4 V
$% 3
R = 3 Ω
E = 12 V
r = 1 Ω
M
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69.
#RQ`, a
" [ 2 )*+/ R810682-\0-7 *15D84406I,,q-406571* C1 , C2 (= C3) ,
C4 460-67406I,,q 12 V \0-7- 1 R81- 3 *D)
0*Q-7\0-7*\+
06571* C2 R81 C3 0-67R77 R80--467 C1 R81 C4
4*4- C2 R81 C3
0- C23 = C2 + C3
C23 = 2 + 4
C23 = 6 3F
4*4-63*
0- 44
= 4 +
45 + 46
44 = +
7 +
44 =
C4 = 3F
1*634 Q4 * C = 89
Q4 = C4V4
Q4 = x 12
Q4 = 16 3C Q4 = Q1 = (Q2+ Q3) = Q4
406I-406571*R08106 * C = 89 2- V = 84
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V1 = 84
V1 = 7 ;4 ;
V1 = 4 V
V4 = 8646
V4 = 7 ;4 ;
V4 = 5.3 V
R81 V2 = V3 = 12 - (V1 + V4)
V2 = V3 = 12 - (4 + 5.3)
V2 = V3 = 2.7 V
$% 4
70.
#RQ`, .041_ 1
" [ 2
)*+/04*I _*R77Q07)*I
0*Q-7 --5 = -
-6
" =
.
0.4 = 0.4
_*7)*IQ48 441RQ8D060 20 Ω
6 V
R3=10 Ω 20 Ω
R2=2 Ω R1= 4 Ω
A R4= 5 Ω
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40 R1 0--467 R2
404 R12 = R1 + R2
R12 = 4 + 2
R12 = 6 Ω 40 R3 0--467 R4
404 R34 = R3 + R4
R34 = 10 + 5
R34 = 15 Ω 40 R12 0-67 R34
404 -4
= -
+ -56
-4
= 7 + .
-4
= <"
R4 = "< Ω
1RQ,,q8* I
* V = IR
I = 9- 4
I = 75=
I = 1.4 A $% 1
71.
#RQ`, .041_ 2
" [ 2 )*+/04*I
VR *1 )4342-1RQ,,q* I )43 (* VR = IR)
1RQ,,q* I *1 )4342-404 Z 88 (* I = 9> )
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84.-,,q1RQQ8674D8\40*)0n -4\ XL 88 (*
XL = ?L = 21fL) R81404 Z 88 (Z = @R B X)
$% 1
72.
#R "
" [ 2
06Q8 467-Q8/0v*1R04Q .8/0v4 6 R04Q 1 = 7 R04Q 2 = 7 R04Q 3 = 7 R04Q n = D7
*14Q64 6wI-06Q8 67*\R04Q n 2- = D7 42-,4Q64 6wI1 67 n *1,Q0446_767 7 (767Q4Q0 y = mx + c *1 E y , n E x , m E 7 R81 c = 0)
$% 2
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2 :
$% 98 ' 103 (*+," 6 $%) $%. 4.0 . "0 24 . .,+,+,"bQ2%R3.2,c+, 31%.2adR e 0 2 ,14R
10,1I: a%,e 0+,14R,00,"4,1#4, 5 31%f2$dg a%,e 0+,14R,0
%"4, 5 31%f2 gR
"4,R: 1.414 × 2 = 2.828 31%h 2.83
1.414 × 3 = 4.242 31%h 4.24
9.8 × 5 = 49.0 31%h 49.00
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98.
#RR.\,
" [ 2
/04*I QR6341\6760. 8/
)*+82--60.R67 23-
+60. 4*182-8
42-60.-/Qn1Q48
*1 F + f = mg sin60
F = mg sin60 f
F = mg sin60 3(mg cos60) F = 5x9.8x√
0.3(5x9.8x )
F = 35.09 N Ans +60. 4*182-3
42-60.-/Qn1Q48
*1 F = mg sin60 + f
F = mg sin60 + 3(mg cos60) F = 5x9.8x√
+ 0.3(5x9.8x )
F = 49.79 N Ans
F
f 3 = 0.3
N
mg cos60 mg
0.1 m
60°
m = 5 kg
mg sin60
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99.
#R,#P]*Q
" [ 2
/04*I Q)4+-8/
)*+82-R) 42-8/7-8084 238 t = 2 )
* sy = uyt + ½ ayt2
0 = uyt + ½(-g)t2
t = FGH ---(1)
118/7-83Q/Q h
* vy2 = uy
2 + 2ays
0 = uy2+ 2(-g)h
uy = @2gh ---(2) R uy = @2gh * (2) 8 (1) *1 t = 2@HK
H
t = L!KH
t2 = !KH
22 = !K0.! h = 4.90 m Ans
u
θ ux uy
t = 2 s
h
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100.
#R",0%
" [ 2
/04*I Q)4+634-8/
*]-RoQ PV = nRT
2-* V R81 n
*1 NO = N
O
""" = N"
P 2 = 256.00 kPa Ans 101.
#RR . eIb
" [ 2
/04*I Q)4+634-8/
V1
P1 = 240 kPa
T1 = 273+27 = 300 K
V2 = V1
P2 = ?
T2 = 300+20 = 320 K
s s = 20 cm
C F O
f = 8 cm
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* P = +
Q
R ! = " +
Q
s = 13.33
s + s = 20 + 13.33 = 33.33 cm Ans 102.
#RQ`,a
" [ 2
/04*I
42-\06\84 A 67 B R016*1).1* 1*,,q4-.671*
,,q486.2- 360 4/8-47I A ^464_ 4 - B \ A 41*_ 4
- B
R11* * F = R88,
+ r 6**/I884 F = 0/ "S/!!/ "TU/</ "TU
F = 46.66 N Ans (_RD86 11*)6)
+ r 6*D)84 F = 0/ "S/!!/ "TU/</ "TU
. .
F = 40.37 N Ans
QA = 360 3C
aA = 12 cm
QB = 0
aB = 3 cm
QAB = 360 3C
F F
QA = 288 3C QB = 72 3C
r = 200 cm
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103.
#R .0
" [ 2 /04*I Q)4+634-8/
482-7-8I = KV
*1 mv = KW v = K
W
v = / "TX/Y/ "Z[
"../ "U/"./ "TS (c = 3x108 m/s)
v = 1.8x106 m/s
* hf = EKmax + W
*1 hf = ½ mv2 + W
4x10-15x4x1015 = ½ x0.5x106x Y\ "Z[ x(1.8x10
6)2 + W
W = 7.00 eV Ans
42-8\RQ17D)81R8\-)80--818
--4 04-6I 86 868-*RQ hf
*1467 86*8IQ/Q--)80- EKmax 467
86-)80-2-,I6 W
hf = EKmax + W
e-
hf EKmax + W
W = ?
= 0.4 nm f = 4x1015 Hz
h = 4x10-15 eVs
me = 0.5 MeV/c2
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$%* R PAT2 i 2552 1,2jQ2%
*,j40# "P*$% PAT2
P2 .* k I.. 0",R3%,l_2 B2S .ej1 R# "Q
1 R#.+,