ện thi Đại học 2013
LUYỆN THI ĐẠI HỌC 2013
Ñaúng caáp laø ñaây
*****
ĐỀ THI THI THỬ ĐẠI HỌC NĂM 2013
MÔN: VẬT LÝ
PHẦN CHUNG CHO TẤT CẢ THÍ SINH (40 câu, từ câu 1 đến câu 40):
Câu 1. 
A. !""# $%&'()
B.*% "+ ,"- $.%&"/01)(
C.23"4&$"5
D.67."&6718%(
* Hướng dẫn giải:
99:;<=>9?@%(6"#AB"C8%@;30 56
DE67+(."&67+(8%(F9
3%"1G4&7"#
Câu 2.2(H $"31)IJ1H8)6J7K9H %L7'+('%%H
G"66 6%M
A.!NO"# ( (P6NJ7K (&6
B.!NO"# ( (&6!NJ7K (&6%!"P6Q%"O
RJ
C./"O!NO"# ( (P697'+(."1-'KG"6 3
"O (66
D.!NO"# ( (P6!NJ7K (&6%!"P6Q%"O
RJ
* Hướng dẫn giải:
<=>99:;9?";
S
S S
"%1
hp

RP
P
U
ϕ
= ⇒
U
PO?
hp
P
H 
S
O:%9H %L
7'+(?PE'T (P6FJ(9T.D K"L"1-'K
?&H E'T (&FNJ7K
Câu 3. *%'%$%"#"%B"J9%1+(<M
A.UG"V%K$"%W."#5!
B.UG"V%X5D"'"#"%B"
C.*O1W""#5K$"%W."#5
D. YW""#5K$"%W."#5
* Hướng dẫn giải:
<=>9?5!N$"
α
?G"V%"'&
1
k
mgs
f mg mg
l
α α
= − ≈ − = −


9?
g
l
ω
=

:9?
( )
Z ZZ S
[
"%1
g
a
l
a v s S t
ω
ω ω ϕ

=

⇒


= = = − +

3K$"W. 
Câu 4. 4R'\1G67"#?J5W"@%$%'%$%"
?'&%1+(M
A.@ B.A$O(@%

C.] D.A$O%
* Hướng dẫn giải:
9>9;=:;<9?";
S
S S
S
v
A x
ω
= +
E
9 ;A
ω
3^F
S S S S S S
E F
A x A
v x A y ax b
ω ω
− ≤ ≤

⇒

= − + = +


4R $O%
* Nhận xét:_"&DWD $'%$]?
9A
ω

3^
_*O ;4R"#?J5W"@%$D4R"#?J5W"@%
?J$E $%&`F
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
Câu 5. A$"%B"]8%!a 4 5A"W.b[['%$]D7$
c" 2A0RL"+aHd5 "W.e[[7AE 'L"!(%AF9
1 A'%$D7$
S "  >S "  e "  :S " 
* Hướng dẫn giải: :%A0RL"+a?H5 'L77? 7$"#A ?
? 5W"(1H"#*? ."7$"#K;
f'KR5H%%$.E"&   F9";
( )
( )
8 8
Z
Z Z
Z
M A m M A
k
Mv m M v
M
k
M m
ω ω
ω
ω


= +



= + ⇔ =



=

+



( ) ( )
Z Z S g[ 
k k M
M A m M A A A cm
M m M m M
⇔ = + ⇔ = =
+ +

* Lưu ý:
h2"HA?

k
M
ω
=
h2H 'L%A?
Z


k
M m
ω
=
+
Câu 6. ($"# $5^."#'%$%"TJ9"TO1W>7
$"#'%$i)'%$^.aag[" 9'%$^."πje1%
D'%$i)>7$"#'%$i
b"  >g[" 
g[ "  :g[ " 
* Hướng dẫn giải:
- Cách 1 (dùng công thức):
*";
( )
S S S S S
g S S g S g g S
g
S "%1 Sg[ Sg[  g[ 
e S
A A A A A A A A A AA A cm
π
= + ⇒ = − ⇒ = + − = − ⇒ =
r r r r r r
- Cách 2 (dùng giản đồ véctơ):*@%H4V"J9"
g
OAA∆
 E?
 ""+" $"k[
[
F71(

( )
S g
g[ A A A cm= = =
* Nhận xét:"S9G"0LL%J(7"OH l
."H4V"J
Câu 7. A$"%B"]8%"$"i'%$]7
!` DO1W"g[π'j17 $
[9[k < m[95W""#5a[? 
R )?5'%$B'OD$H 7$1-"?[9[S * O7]8%
36'&
[9[bE1F >gjgbE1F gje[E1F :[9[bkE1F
* Hướng dẫn giải:
hYJ?'%$"#"%B"" ;
[
"%1 x A t
ω
=

h2"] E5'%$]F?RL"+
anE+ '%$F2 ) E5'%$ B
'OF?RL"+a D57>nn
g
="]
n>
o
n
S
*";nn
g
mnn

S
*@%H69";
nn
g
mnn
S
m[9[g 
h*@%?l9";
( ) ( )
g g g [ g
"%1 [9[g [9[b"%1 g[ E Fx OO O B OO A OO t t m
ω π
= + = + − = +

h2]8%36'&;
( ) ( ) ( )
g
[ [9[g [9[b"%1 g[ [ ""%1 [9S [9[bk 
g[
x t t s
π
π
= ⇔ + = ⇔ = − ≈
 !"#$%&$'('()*ợi-+ảng trị ,-./0
>n
n
g
n
S


[
>
o



g
>
n
>
o

o
ện thi Đại học 2013
* Lưu ý:_25W"a[<"5NRL7
_$H 7$1gjS"?aSnn
g

Câu 8. A$"%B"J5p"W.  L"0q[.""%L" >
O"%B"'%$'D"'K"/"#"7$"r
[
2"%B""$"[9br
[
?"
'K $ @"J"$"$DsD`i8W'D>6
0sm JP"#"%B"1"'K(^6%M
YH Sbt >*PSbt C*Pb[t :YH b[t
* Hướng dẫn giải:AW6"JP"%B"(^6%?5X"JP"#"%B"1
D""R7 "'K7 G"K;
- Trước khi chịu tác dụng của điện trường:

_JP"%B";
S
[
S
mgl
W
α
=
EgF
_2
S
[
[
e e
u u 
S v v S
đ
mgl
α
α α
= ⇒ = =
- Khi chịu tác dụng của điện trường:
_YW"'K"#"%B""R"'K7 G";
Z S 
qE
g g g
m
= + =
_JP"%B";
S

Z S S S S
[
[ [ [
Z e S e b
Z
S v S S v v S c
đt
mg l mgl mgl mgl
W W W mgl
α
α α α α
= + = + = + =
ESF
h*EgFESF9";
Z
Z b
g9Sb [9Sb Sbt
v
W
W W W
W
= = ⇒ ∆ = − = =
EPSbtF
Câu 9. A$1"J"."(@%Jn8D7$3^S" O1W"π
E'j1F*& 
g
 A"$+ "($@%"'JDW"$πE" j1F?$
& A1 
g
 $%HgjkE1F

hS"  >hg"  S"  :g" 
* Hướng dẫn giải:
- Cách 1 (dùng công thức):YJ?'%$"#1&A;
S 1 E Fu co t cm
π
=
YH69";
( )
g
g g g
g
g
g g
g
g g
g
k
S 1 [ 1 [
b
S
S 
g
k
Z S 1 1
k
b
S
S
k
g b S

S 1 S 1 S 1 S S 1 g 
k k k k e
t
u co t u co t
t k
t k
v u t t
t k
u co t co t co k co cm
π π
π
π
π π
π π
π π π π
π
π π
π π π π
π π π
 
+
 ÷
 

= = < ⇔ <







= − +

⇒ = − +

= = − = ⇔ = − ⇔





= − +



 
       
= + = + = − + + = − = −
 ÷  ÷
 
   
       
 








- Cách 2 (dùng đường tròn lượng giác):
h*&
g
;
( )
S
S
S
S S
[
E j F e 
u
v
v cm s u A cm
v
A u
π
ω
ω


<


 
= ⇒ = − − = −

 ÷
 


 

= +
 ÷

 

h*&
S
m
g
_gjkE1F;Y"0V;

k
t
π
α ω
∆ = ∆ = ⇒
U($;
( )
g u cm= −
* Nhận xét:"SHJ9LL%*(7""&H6""l]]."
Câu 10. A9w9Ie 767 $1.'+( 1'""T7$v" 9'%
$&w"TD'%$&A>6AwmSwImS[" >7$&K1D"1
v" 9v["  >v" 9k["  c" 9v["  :c" 9k[" 
* Hướng dẫn giải:
- Tính bước sóng:*@%?l9";
( )
[ Sb gb k[
S S

MN NP
, x' x cm cm .
λ λ
= + = + = ⇒ =
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
- Tính biên độ: *  "; 
( )
S S b
v c
k[
max max max
x .
A A sin A sin A cm
π π
λ
   
= ⇒ = ⇒ =
 ÷  ÷
   
E%&  
S b
v
k[
max
.
A sin
π
 
− =

 ÷
 
9?"($'JF
* Lưu ý:w66%H"" $ )Q6 nút
O)?7$"# 8"R@%
i"; 
S
max
x
A A sin ;
π
λ
 
=
 ÷
 
"]66%H""
6bụng?7$ 8"R@%i";
S
max
x
A A cos .
π
λ
 
=
 ÷
 
Câu 11. *%L %%1D"94>""gg9e" '%$"T"
D"1S" W "7$"G"&01."7]+ E "#>F

LS9b" 
gg  >SS  g[  :gS 
* Hướng dẫn giải: :% $"G"&"B%&sx& $ ?"B]& E
6"0sxF:% W? 1W "G"7]? 1W "G"7%&
sxK;
hW "G"7sxp y;
g S
g S
EA EB d d FA FB
d d k
λ
− ≤ − ≤ −


− =

g S
g S
b b
S b S b [ g S
S
d d
, k , k : , ,
d d k
− ≤ − ≤

⇔ ⇔ − ≤ ≤ ⇒ ± ±

− =


hz5(7%&sx"b '%$D7$"G"&3" %0s%!"xEL'K s9
";'
g
C'
S
msCs>mhb" 9 
( )
S cm
λ
=
734&$"{p yF71W "G"&
7]bSmg[
- Nhận xét:+(%39(7""&$)("bR"#1((1W
 7]E+37F H 8@  %"T"$"]3y
Câu 12.
*&









>

7

!


D"

"



4

16."T"T7$9

D"
1

λ
%7$3^(>6%H"">mc
λ|p7%H>"%7
 '%$D7$"G"&"TD""4M
} >c g :g}
* Hướng dẫn giải:
- Cách 1::%4"T9"T7$"" $1W"~OD"
171W '%$D7$"G"&"TDS4p y;
S S
AB AB
k
λ λ
− < <
 E6 \  "H  S 4 ? 7 ') •m€  N ') ) ` i"F
v v [9 g9 S9 e;k k⇔ − < < ⇒ = ± ± ±
"} 

- Cách 2: W "G"&7>;
c c [9 g9 S9 e9 };
AB AB
k k k
λ λ
− < < ⇒ − < < ⇒ = ± ± ± ±
"gb E •7
G""} F
A!"9 "#%&`WS4'%$D7$"G"&"TDS4
w%‚ a 7S"G"&%!"S"G"?'%$71W
 '%$"G"&"TDS4eS_gm}
* Lưu ý:W "O? Hp y"G"&9"TDS4
Câu 13.  % &"8%(" ?l7
*%$@ƒ $$@"i $O-;„%!"U
%!"EU9F%!"
[
!%O &" $8%(
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ƒ


>

ện thi Đại học 2013
"
>
mg[[
S
"%1g[[πEzF? @6"/
S

EF"31)7K7 &"Img[[EuF>6
\J
>
m
π
e
g[
e−
ExFIO-%$@ƒR"#
NO=
b[ R
= Ω
 >"$'+(O"H 9
v

b
L H
π
=
K9
v
[
g[
C F
π
−
=
:"$'+(3O"H ;
v
b[ = 

b
r L H
π
= Ω =
* Hướng dẫn giải:
- Xác định các phần tử trong hộp X:*@%H6\J
>
 &"7K1($@ $
"$'+("≠[
- Tính giá trị của các phần tử trong hộp X: 
_*";
( )
( )
S
S
S
g[[
b[
S
P
P rI r
I
= ⇒ = = = Ω

_A!"";
( )
( )
( )
S
S

S
S
S
S
S S
v
b[[[
c[ 
b[[[
b
S[ E%F
L
L
L C
L
L C
U U
Z
Z Z
Z L H
I I
r Z Z
Z
Z r Z Z
ω π


= ⇒ = =
= Ω ⇒ = =
 

⇒ + − = ⇔
 
 
= − Ω
= + −



hz5($@ƒ"i"$'+(E3O"H F"
( ) ( )
v
b[ = 
b
r L H
π
= Ω =
Câu 14. %& &"8%("4 NOe[EΩF B"W
6D"$'+('KNO"$'+(gS[z:]
% &""πjk1%DO%& &""πje1%
DO"$'+(*^N"# &"a
e[ EΩF
>e[EΩF …[EΩF
:k[ EΩF
* Hướng dẫn giải:
- Cách 1 (dùng công thức)::%
'
"E?3"KFπje1%DE
≠
πjSF7"$'+(H
"N%*";

( )
( )
( )
( )
e e
e e
gb 
k e e
e e e e[
gb e 
e e e
e
L
L
L
L
d d L
Z
tg Z R r
r
R r
r r
Z
Z
tg Z r
r
π
ϕ ϕ
π
ϕ ϕ



= ⇔ = ⇒ = ⇔ = +


 = Ω
  
+
⇒ = +
  
= Ω

 

= ⇔ = ⇒ = ⇔ =
 


*^N;
( ) ( )
( )
( )
S
S S
S
e[ gb gb e e[ e 
L
Z R r Z= + + = + + = Ω
- Cách 2 (dùng giản đồ véctơ):U557`R"$'+("*";
_

AMB∆
"+&AE
·
·
[
e[BAM MBA= =
F
( )
gS[ v
R
R d
MB U V I A .
R
⇒ = = = ⇒ = =
U
U
_*%
MEB∆
";
( )
[ [
k[ k[ k[ e
L d
U MB.sin U sin V .= = =
_*%
AEB∆
";
( )
[
gS[ e

e[
L
U
U AB V .
sin
= = =
_*^N;
( )
e[ e
U
Z .
I
= = Ω
* Lưu ý:_w6%3†"$'+(O"H (3?H‡58@ "$'+(O"H
(3O"H 
_? 9"'TR‡"%1"%
AMB∆
Lˆ9
L."{
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
Câu 15. !8%("O1We[[zhb[|‰%O%& &">4 %& &"A
A> B"W6%&A4 NO B"W6D"$"H O9%&A>"/"K
>6'K‚O%& &"A>gv[z']% &"\J
O%& &">ϕ1%"%"%1ϕm[9c'K‚O%& &"A
e[[z >S[[z b[[z :v[[z
* Hướng dẫn giải:z?%"%ϕE"%1ϕm[9cF7'TJH4
V"JK9@%H4V"J";
( )
( ) ( )

( )
( )
S
S
S S S S
e[[ Sv[
g e[[ g [ c gc[
Sv[ gc[ eS[
Sv[ eS[ v[[
R
LC
L LC C
AM R L
U Ucos cos V .
U U sin U cos , V .
U U U V .
U U U V .
ϕ ϕ
ϕ ϕ

= = =


= = − = − =


= + = + =


= + = + =



Câu 16. *7%& &"8%("3+"W @%
<iG9A9w>Y‚ A"/""$"H O9‚
 Aw"/"NO9‚S w>"/"K
7%&w"'Ke[[z"D7w>bŠjk
>i"7%&w>
w>
mb[ "%1Eg[[ŠhSŠjeFzi"
7%&A>

A>
mg[[ "%1Eg[[ŠhbŠjgSFz
>
A>
mg[[√S"%1Eg[[ŠhŠjSFz

A>
mb[ "%1Eg[[ŠhbŠjgSFz :
A>
mg[[ "%1Eg[[ŠhŠjeFz
* Hướng dẫn giải: :%
S
b[ k "%1 g[[
e
NB C
u u t V
π
π
 

= = −
 ÷
 
7
[ [
S
"%1 g[[ "%1 g[[ 
e S k
i I t I t A
π π π
π π
   
= − + = −
 ÷  ÷
   
A!";
( )
( ) ( )
( )
9
b
S
9 "%1 gb[ 
b
k S e e
9 9
k
NB R
AN R R AN
AN NB AN C

U U
U U U U V
U U U U
π
π π π π
π

=


 
⇒ = − = ⇒ = =

 ÷
 

= =


r r
r r
r r r r
hY""‚ 
R
U
r
  
MB
U
r

; 
( ) ( )
b[ e e
9 9 
gb[ e k
C
R MB R MB
R
U
tg U U U U
U
π
= = = ⇒ =
r r r r
(""‚
MB
U
r

C
U
r
;

e
MB
π
ϕ
=
A!";

[
[
b[ k
g[[ k 
[9b
1
k
C
MB
U
U V
π
= = =
 
 ÷
 
hz5(i"i"7%&A>;
S
g[[ k "%1 g[[ g[[ k "%1 g[[ 
e e e
MB
u t t V
π π π
π π
   
= − + = −
 ÷  ÷
   
Câu 17. A&"8%(">W6"/4 ""O-NO9"$"H K
%& &">4 %& &"AA> B"W6%&A4  $NOgb[Ω B"W

6D $K"'
b[ e
Ω>6i"7%&A7%&A>O.

A
m…["%1g[[ŠEzF
A>
m…["%1Eg[[Š_SŠjeFEzF|1W"31)"#%& &">
[9…} >[9c} [9…b :[9……
* Hướng dẫn giải: ? 1W"31)
"%1
ϕ
"? „
&"
{
&"
E
"%1
mach
mach
R
Z
ϕ
=
F9(7""('']?%& &"A>"6"i
O-%%:%9? 
"%1
ϕ
9? 
ϕ

941)(
"%1
ϕ
K;
- Tìm biểu thức u
AB
:
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
:%
OMN
∆
7
( )
[ [ [
[ [
…[
9
e
AB AM MB
AM MB
U U U V
U U
π
= = =


⇒

=



r r

…["%1 g[[ 
e
AB AM MB
u u u t V
π
π
 
= + = +
 ÷
 
- Tìm biểu thức i:Y"""#
AM
u

i
;
b[ e e

gb[ e k
C
AM AM
Z
tg
R
π
ϕ ϕ

= − = − = − ⇒ = −
:%"
"#i:
[
"%1 g[[ 
k
i I t A
π
π
 
= +
 ÷
 
⇒
"""#
AB
u

;i

k
u i
π
ϕ ϕ ϕ
= − = ⇒
1W"31)"# &">;
"%1 "%1 [9c}
k
π
ϕ

 
= ≈
 ÷
 
Câu 18. A$ (8%(" $" $"!"G"9 &"%."WD $ &"„U
W64 "$O"H "$G"H Um[9vjπ|9KN„2 (0(DW"
$}b[]j<?']'K0 &" = (0(DW"$gb[[]j<
?% &"""$N']'K0 &"vYR"#NO„K
O.
„mSb‹=mgjESbπF x >„me[‹=mgjπ x
„mgb‹=mSjπ x :„me[b‹=m[9vjπ x
* Hướng dẫn giải:
- Khi máy quay với tốc độ n = 750 vòng/phút = 12,5 vòng/giây:
( )
( ) ( )
S
S
S
S
[
gS b S Sb
k[
g[
S S g[
g g
Sb
S
S
L
C

C
L C
np
f , f ( rad / s ).
Z L .
E
I E R Z V .
Z .
R Z Z
C C
N f
E .
ω π π
ω
ω π
π

= = ⇒ = =


= = Ω


⇒ = = ⇒ = + −

= =

+ −

Φ


=


-
Khi máy quay với tốc độ n
’
= 2n = 25 vòng/giây (mạch cộng hưởng):
( ) ( ) ( )
( )
( )
e
S
S
g g g
S S g[ v[ g[
S S Sb c[
S S g[
S
v e[
' '
C C
L C L C
C
Z Z
Z Z Z . Z C . F mF .
.
. R Z
E
I ' R .

R R
π π π
−

= ⇔ = ⇔ = ⇔ = Ω ⇔ = = =



+ −

= = = ⇒ = Ω


Câu 19. A$ (6"†W8i4 "/"."0)"$'+(
2 B" $"$'+(%8%("?""1i"'%13R%%
."""%"]&2 B""$gE"g[[[]F%'Kk[z?N"$S
E"S[[[]FN"'K
gbz >kz k[z :v[z
* Hướng dẫn giải::%1i"3R%%."""%S"$"]&7"$g
B"%ˆ
g
mk[z?1W1i"8(70 •]"#"$g)SO1W1i"8(7
0 •]"#"$SA!"93‚0"$'+(X5DO"$'+(7
";
( )
Z
S S S S
S
Z
g g g

S[[[
k[ 
k[ g[[[S
U N U
U V
U N
Φ
= ⇒ = ⇒ =
Φ
Câu 20. $"J34$e B"?1%9$"J%&$?NS[[z
?"31)7K"#$"JagkS[ u1W"31)[9…"% •IO"#']
N"""$'+(g9SeO.[9SπjehSπjez% ']Ng"$"R a  
g
me P?']N"$SeJia
g9bbe >hb9c[g9bb g9bbhb9c[ :ehk
* Hướng dẫn giải:
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
h:%$""e7;
( )
[
gkS[ S
e "%1 e S k 
e "%1 eS[[[9…
P
P UI I A I A
U
ϕ
ϕ
= ⇒ = = = ⇒ =

:%i"
"$']0 •"'&;
( )
g [
S [
e [
"%1 
S
"%1 
e
S
"%1 
e
i I t A
i I t A
i I t A
ω
π
ω
π
ω


=


 
= +

 ÷

 


 
= −

 ÷
 

h2
( ) ( )
g
k"%1 e Si t A
ω
= =
P7;
v
t
π
ω
= −
E?lF2;
( )
( )
S
e
S S
k"%1 k"%1 g9bb 
e v e
S S

k"%1 k"%1 b9c[ 
e v e
i t A
i t A
π π π
ω
π π π
ω

   
= + = − + ≈
 ÷  ÷

    
⇒

   

= − = − − ≈ −
 ÷  ÷

   

- Lưu ý:31)7K"#$"J34$e%.HW8iaeO
"31)"# •
Câu 21. %& &">4 "$"H OW6DK!48%(""O1W"ω
%O>?K"'g[[Œ9"$"H ""H b[ŒwB9>p4
P$G"H "#"$"H  $.[9b|4W> &"L?O1W"'%$7"#
&"g[[E'j1F*O1W"•"#']8%("!%SO9>
c[π'j1 >b[π'j1

g[['j1 :b['j1
* Hướng dẫn giải:
h2"P$G"H U;
b[
b[ 
g g
g[[ 
g[[
L
C
Z L L
Z C
C
ω
ω
ω ω

= = Ω ⇒ =




= = Ω ⇒ =


h2PU $.
L∆
m[9b|;
( ) ( )
Z

S v S
[
g g b[ g g g g g g g
 [9b [ g[[ j 
g[ g[[ g[[ S S[[ g[[[[
LC L L C rad s
ω
ω ω ω ω ω ω
= = + ∆ ⇔ = + ⇔ + − = ⇒ =
Câu 22. A&"'%$ULN4 ;"$'+("$G"H SbE |F $$K4 K"
'a[9bE xF B"1%1%:]% &""i";m[9[[g1ωEFA&"
%&$?N m[9[[SbπE1F% $K%|6"G"&‚
O"$"H 
[9[[b EzF >[9gS EzF
[9gSEzF :[9[[bEzF
* Hướng dẫn giải:
h2 &"4 K;
( )
( )
e
g S
e
g S
Z [9bg[ 
g
g[ S[[E j F
C C C F
C C C F rad s
LC
ω

−
−

= = =


= + = ⇒ = =


h2% $K%;*"9&m[9[[SbπE1F?
[
[9[[g1S[[[9[[Sbi I
π
= =
E%$P.
"# &"5N"$'+(9K3L"Ž(P.F:%;
g
u [ uZ u
C
= ⇒ =
E
u
9
u Z
P
."# &"D"1%KF
S S
[ [
[
Z Z

Z [9[[b SE F
S S
C U LI
U V⇔ = ⇔ =
- Lưu ý:wP.5NK9P.5N"$'+(
Câu 23. w6WO%& &"4 "$"H OU B"W6DNO„mgΩ%
"G""#4 $""1)$3^N%mgΩ?% &""']
3^"$g9b:T4(&"% $K"'mgµx2
L"7K&R"G"&9BKp44WKD"$"H OU $
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
&"'&%$?% &""'%$G'%DO1W"g[
k
'j1"$']"G"&
a
[
YR
[

g9b >S [9b :e
* Hướng dẫn giải:
h2W4 $"D„;
( )
g b e
g g
E E
I , E V
r R
= ⇒ = ⇒ =
+ +

ER53 "%% &"F
h2'T4 $"&"%K;
( )
k k
[ [ [
g[ g[ e eI q CU CE . . A .
ω ω ω
−
= = = = =
Câu 24. A&"'%$4 "$"H O"$G"H S9bE |F$K`3L4
g…)  %&!1%1%8@:L"W'‚) e9gvE"
S
F%H""‚
) 76g *W"$(1eg[
c
E j1F>D"1"$ND &""
R
e}E F >kvE F …vSE F :bSE F
* Hướng dẫn giải:
hi)  &!O"% $K`9 "g…)  %&!8@ l71l"gcK
  `  V  W  6    :%      '  "#  $  K  ;
( )
v
ge
… … e
g g ge9gvg[
  g9bvSg[ 
gc …g[ v gc …g[ v g[
b
C S

C F
n d
ε
π π
−
−
−
= = = ≈
h>D"1"$N;
( )
c
k g[ e} 
b
LC m
λ π
= ≈
- Nhận xét:U‡""VK
Câu 25. :%$%'D+(8H(% $ &"'%$""P.H 'O
@%
A. :%$"•i" B.$N'%$ C.:%$7 D.:%$'(?
* Hướng dẫn giải:
9>9:;=;<9?'%$7'%$ "?"/K$"!"L"#93K$"
(6W7%EP."H 'O@%F9"]e%&'%$"]&%!""P.
3^E'%$:F%!"P7$$E'%$>F
Câu 26. A$ &">4  $K9 $"$"H UO"H  $6N„."
B"W6!%O &" $68%("mgS[ "%1gS[πEzF>6ai
DR"#6N;„
g
mgcΩ„
S

meSΩ?"31)7K7>31)"#
%& &">không5R
A.Im}Su B.ImSccu C.Imgvvu D.Imb}ku
* Hướng dẫn giải: 
h31)p7 &";
( )
S
S
S
S
L C
U R
P I R
R Z Z
= =
+ −
( )
S
S
S
[
L C
U
R R Z Z
P
⇒ − + − =
;+(J?
5"S@%„9 
g
R

9
S
R
*@%R‡zV9";
( )
S
g Sg S
S
g S
g S
L C
b
R R Z Zx x
a
U
c
R R
x .x
P
a


= −+ = −

 
⇒
 
+ =
 
=




E•F
- Tính P
max
:
_*";
( ) ( ) ( )
( )
S
S S
S
SS S
S
S
S
S
max
L CL C L C
L C
U
P P .
U R U R
P I R
Z Z
R Z Z Z Z
R
R R Z Z .
R

R

= =


= = = ⇒

−
+ − −

+
= ⇔ = −


_26.DE•F9";
( )
S
g S
S S S
g S
gS[
e[[
S
S S gc eS
max
R R R
U U
P W .
R
R R .


=


= = = =


hz5("31)"#%& &"3DJe[[u7;<
* Nhận xét:
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
h6"31)"#%& &"35R%"L"31)"G"&"# &"
h:%„(^9 "SR"#„"31)iDSR„7.‡"<'T
R‡zV
hD"3i";
( )
g g
g S
S
S S
g S
S
S
max
R : P
P P
R : P
R R R
U
R : P P

R


=




⇒ =


= =



Câu 27. *%?9<"@96%!"BE"%‘W"`&F
@)(6•8d€%|y(""+HL"<%‚"+HL"1
A. :%5"3B"9'] &"%"$
B. :%5"3B"9N% &"H $$
C. :%5"3B"9']0'%(^$$
D. :%5"3B"98) $•81€ƒ1("$%@"# (&%7
68d% (
* Hướng dẫn giải: 
29B &" '](^$$
→
81E1F"$%@
→
\
1
→

@68d% (E:;<F
Câu 28. A$%& &"8%("3+>4 ;NO„9"$'+(O
"H UK:T36E36F"N)D9O.%6NO%&
&"9OKO"$'+(?1W"/"#36Jiˆ9ˆ

9ˆ
U
>6ˆmˆ

mSˆ
U
|
1W"31)"# &"
A."%1ϕmg B. "%1ϕm[9b
C."%1ϕm[9b  D."%1ϕm[9b 
* Hướng dẫn giải:|1W"31)"# &";
( )
S
S
e
S
L C
R
U U U
UR
cos .
Z U U
ϕ
− −
= = = =

Câu 29. A$") '%$]7%&I’mS[" 95I6’[9b
1Yn9s9xO. "#I’9nIn’*W"$?"#") 7%&sx
g9S j1 >[9c j1 [9k j1 :[9v j1
* Hướng dẫn giải:
h*";
S[9b gE F
g[E F
S
T s
PQ
A cm
= =



= =


h*W"$?;
g[
k[E j F [9kE j F
g
k k
tb
S EF
v cm s m s
T
t
= = = = =
   

 ÷  ÷
   
Câu 30. YD&0"#"" %&&"949l 93 a %Ti"8&%M
A.f1?)( B.*4%&
C.*-%& D.HTi"8&y
* Hướng dẫn giải:;<9?;
h*-%&;
[9[[g [9ec m m
µ λ µ
≤ ≤
h>&"949l 93 ;
[
[9Sk [9ek m m
µ λ µ
≤ ≤
Câu 31. f1không"L")1M
A.5W"D3& B.(%"+3
C.(% 35") D. @%P.
* Hướng dẫn giải:;<9?W"$1%"+3D)a"meg[
c
 j1
Câu 32. w!" "#-%&9""+*-%&
A.%1WWDX9D" B.R)KNO3‰3"#L0(*)
C. 0 $1W") D. %%3L
* Hướng dẫn giải:
9?-%&RD"#()K &E%1WWD&"F
>99:;<?""L")"#-%&
Câu 33. A$54%&% 380H"$
A.7[
[

 B.7[
[
2
C.7g[[
[
 D."%J$ 3
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
* Hướng dẫn giải:z‡(69 5"$"%J[E2F4%&A3"Ž
"$"%J[E2F7"Ž4%&:%9."4%&'% 3
?5H"$"%J 3
Câu 34. *%L %%+9%H""‚@g 9%H""@6 
g Y%%G"D1J1B"[9vµ w! $H#("'([9SEµ F"
"61)g9bD"@
g
zRL%1+($"#+Wig
8mh[9e  >8mh[9g  8mS9cc  :8mS 
* Hướng dẫn giải:
h2!H pD"
g
?%$+1l
'R""(L
g
 $%Hnn
o
*& 
7    "        "#  S  1;
( ) ( )
S g g
g

'
ax
d d d e ne n e.
D
 
− = − + = − −
 
h*&+W;

( ) ( ) ( )
S g
[ b g [ b
'
ax
d d k , n e k , .
D
λ λ
− = + ⇔ − − = +
hzRL+WigEm[9mhgF;

( )
( )
( )
( )
( )
( )
e
k k
e
k k

g [ b [ g b g [ S g[ [ b [ v g[
[ e
g
[ g
g [ b g
g b g [ S g[ [ b [ v g[
g
ax 10 .x
n e , ( k ) , . , . , . , .
x , mm .
D
ax
x , mm .
10 .x
n e , ( k )
, . , . , . , .
D
λ
λ
−
− −
−
− −


− − = = − − =



=


⇔ ⇒


= −




− − = − = −
− − = −




Câu 35. *% $L %%1h+'T41J1B""
D"1λ
g
mkkb E pF1J1B""D"1λ
S
E K"F

*7 01
)(‚&"1"T D&"1+ 76"k+ K"b+ pYR
"#λ
S
a
bS[  >bb[  v…b  :b}[ 
* Hướng dẫn giải:
*6++ 3+15"["# 1

J1B":%+16"T D++ ?
RLT6@%"#S+1"#Si"8& :%
‚+1"k+1 K"b+1  p
7RLTRL"#+15"}WD  K"
5"kWD p:%;
( )
S g S
kkkb
} k b}[ 
}
nm
λ λ λ
= ⇒ = =
Câu 36. >B&α%&+Jwgvi(798H(Hi&% $&+%8 $
&%%>6a&1"V"J5W"9HiP.g9SgEA@zF%W
."#""&+p y;
n

α
m[9SgE
n
_

F
S



α
m[9[gSE

n
_

F
S
$P&α
g9bbbA@z >g9kbkA@z g9…bcA@z :S9bb…A@z
* Hướng dẫn giải:IJ?Hi;
gv
N p O
α
+ → +

h*";
( )
( )
( )
( )
S
S
S
S
[9Sg [9Sg
[9[gS [9[gS
O
O O p
O p
p
p O p
O p

m m
m m m m
m m
m m
m m m m
m m
α
α
α
α

= + ⇒ =

+



= + ⇒ =

+

hf'KR5H%%$.R5H%%P.;
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
( )
( )
( )
S
S
S

S
S
u u [9Sgu 
S
u u u u u u u u [9[gSu 
S
g9SgE F
u g9 Sg [9Sgu [9[gSu u g9bbbE F
O O O
O
O p
O O p p O p
O p
p p p
O p O p p
O p
N O p
m v m m
m
m m
m v m v m v v v v
m m
m v m m
E E
m m
E m m m m c MeV
MeV
α
α α
α

α α α
α
α α α α
α
α α α α

= = =


+
= + ⇒ = = 

+



+ ∆ = + ⇒ = −∆ + + ⇒ = = =
 
+

∆ = + − − = −

= + + ⇒ =


r r r r r r







Câu 37. A$.•.4 4RD1W.&+O4Ri)
""?yS9v(94Ri""?yv[(
g
?"c}9}bt1W&
+%•.R+y91
S
?"}bt1W&+"#•.R+y*/1W
g
j
S

S >[9b v :[9Sb
* Hướng dẫn giải:
hY 
[
N
 1W&O"# •4R= 
g S
=N N
 1W&"]&"# •4RN E
g
g [
S =
t
T
N N
−
=

S
S [
S
t
T
N N
−
=
F
⇒
1W&"]&"#•.N ;
g S
g S
[
[9b S S
S
t t
T T
N N
N
N
− −
 
+
= = +
 ÷
 ÷
 
_*&
g

;
g S
g
[9b S S Eg [9c}}bF [9gSSb cg9gkbcbE F
t t
T T
t s
− −
 
+ = − = ⇒ =
 ÷
 ÷
 
EgF
_*&
S
;
g S
S
[9b S S Eg [9}bF [9Sb v[9[[ggE F
t t
T T
t s
− −
 
+ = − = ⇒ =
 ÷
 ÷
 
ESF

h*EgFESF";
g
S
S
t
t
=
* Lưu ý:>%"%1W&"]&"#•."i3H"%1W&"]&"# •4R
Câu 38. %"T d""@@"%0"W"$g[
k
E j1F('"@%1i"% $
""$…9gEzj F1%"%D"#5W"."DD*L0y
(."1g[[[1>6W.L""#7@"%O.…9gg[
heg

hg9kg[
hg…

g9kE F >g9cE F [9SE F :S9bE F
* Hướng dẫn giải:
hz?@@"%('"@%1i".""1i"7@@"%1l"($`'O
D$DW"
gS S
g9kg[ E j F
e E
F
a m s
m m
= = =
h  ’H    @@"%  (  ."  %  g[[[1  m  g[

hk
1  ;
( )
S
S k … gS …
[
g g
g[ g[[[g[ g9kg[  g[[[g[ g9cE F
S S
S v t at m
− −
= + = + =
Câu 39. |H %&>`$9!1%1%9W'"" $%H'!
%> $6ˆ
>
mˆ
g
q[91"6%+ "#) > $"T 1?)(8)
""0@@"%(L) *? LD)"#T7 !W"@@"%5%
>6a<"(6!%> $6<ˆ
>
mhˆ
S
“[?3"]@@"%%6
."

g
S
S
U

R d
U
=

>
g
S
S
U
R d
U
=
 
S
g
S
U
R d
U
=

:
S
g
S
U
R d
U
=


* Hướng dẫn giải:
hK"%8(?lY"<"@@"%BO"($LH'JEWF
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
h*";
g
S
S
[
[
[
S
S
S
S
h
e U
F
a
m md
e U
mv
e U v
m
x v t
at
y




= =



= ⇒ =



=





=





h2@@"% 5%W?;
S
S
S
g
[
g g
[
S S 
S

S 
S
 S 
at d d md
y d d t
y d
e U
Ud md
a e U
R v t d
x R
m e U U
R v t

= ⇔ = ⇔ = =
=


⇔ ⇒ = = =
 
=


=


* Lưu ý:>LD)WD@@"%"($D5W"O
o
v
r

3"D
E
r
@@"%
5%W
Câu 40. 6 $i"8&"i"1[9eS” "%"# $6%0"
"3%@@"%e9cc@z%a1WIPk9kSbg[
hev
•19W"$1%"+3eg[
c
 j1
W."#7@"%…9gg[
heg
z5W"O"G"&"#0@@"%
e9}bg[
b
 j1 >[9Sbg[
b
 j1 k9Sg[
k
 j1 :e9}b j1
* Hướng dẫn giải:*";
S
ev c
g… b
[ 8
[ 8
eg k
S S k9kSbg[ eg[
e9ccg9kg[ [9Sbg[ j 

S …9gg[ [9eSg[
mv
hc hc
A v A m s
m
λ λ
−
−
− −
 
 
= + ⇒ = − = − ≈
 ÷
 ÷
 
 
PHẦN RIÊNG __________ Thí sinh chỉ được làm 1 trong 2 phần: phần I hoặc phần II __________
Phần I. Theo chương trình CƠ BẢN (10 câu, từ câu 41 đến câu 50):
Câu 41. %Hi&+;:_:→
S
|@
e
_
[

g
*LP.76"#&+
S
|@
e

>6$
KW"#:[9[[Sv^P./"#""&D"HiJ^P./
"#""&1Hie9SbEA@zF9g"
S
m…egEA@zF
}9}gc}EA@zF >}9}gccEA@zF }9}gc…EA@zF :}9}gckEA@zF
* Hướng dẫn giải:*";
( ) ( )
S S
[
S
E F
S
E F E F E F E F E F
S e9 Sb
u S }9}gccE F
u u Su u S Eu [F
D He n
lk He D
lk He lk n lk D lk He D lk n
E m m c m m m c MeV
E m c MeV
E m c

∆ = − = − − =

⇒ = ∆ + ∆ =

∆ = + − = − ∆ =



* Lưu ý:wP.66P.767"#J%E3%Fa[
Câu 42. *L %%1h+%H""@mg 9%H""@D
:mS Y%%G"4Di"8&"D"1λ
g
mv[[ λ
S
me[[ W&"
101."7%&>mgv9v W8i0++ "# 
vv&"1 >g…&"1 vS&"1 :e}&"1
* Hướng dẫn giải:
hYw
g
;^1W+1"#i"8&λ
g
=w
S
;^1W+1"#i"8&λ
S
=
–w;
1W+1T
"#Si"8&
h*^1W5101."7 ;wmw
g
_w
S
h
–w
+ Tìm N

1
:W+1"#λ
g
p y;
g
g g g
}9SE F }9SE F … … [= g= S== … ;
D
mm k mm k k
a
λ
− ≤ ≤ ⇔ − ≤ ≤ ⇒ = ± ± ±
"g…R
⇒
w
g
mg…
+ Tìm N
2
:W+1"#λ
S
p y;
S
S S g
}9SE F }9SE F gS9k gS9k [= g= S== gS;
D
mm k mm k k
a
λ
− ≤ ≤ ⇔ − ≤ ≤ ⇒ = ± ± ±

"SbR
⇒
w
S
mSb
+ Tìm số vân sáng trùng nhau của 2 bức xạ:W+1T"#Si"8&p y;
 !"#$%&$'('()*ợi-+ảng trị ,-./0
(
8
ện thi Đại học 2013
( ) ( ) ( ) ( ) ( )
g S
g g S S g S
S g
e
9 ; [9[ = e9v = k9c = …9gS
v
k
k k k k
k
λ
λ λ
λ
= ⇒ = = ⇒ ± ± ±
E  ‡; 
g
… …k− ≤ ≤
F;  "  }  "!    R
–wm}⇒
hz5(^1W+101.""#Si"8&;wmw

g
_w
S
h
–w
mg…_SbC}me}
Câu 43. *%L —%9%H""‚…+176U:R""( ek"
@%J3"D ?%H""‚gg+176"ŽU2%H""‚ 
@<"O
g9c  >S  S9b  :g9b 
* Hướng dẫn giải:*6%H""‚+176aECgF7";
( )
( ) ( )
c
c g[ c g[ c g[ g c
g[
'
'
i L
D D
D
i i D D D D , m .
a a
i L
λ
λ
=
− ∆
⇒ = ⇔ = ⇔ = − ∆ ⇔ =


=

Câu 44. f1J1B"DD"1[9vg[
hk
 "63"% $'L"v9b"
S
%
a1WIPk9kSbg[
hev
•1W"$1%"+3eg[
c
 j1w6"$1a[9gb
Euj
S
F?1W%%57'L")(% $JR
b9cg[
ge
 >g9ebcg[
gv
 e9ggcg[
gv
 :g9g}}g[
gv

* Hướng dẫn giải:
h*";
v k
gv
Sk


[9gbv9bg[ [9vg[
 g9ebcg[ 
g…9c}bg[
P
I P I S
hc IS
S
I S n n
hc
hc
P n n
λ
λ
ε
λ
− −
−

= ⇒ =


⇒ = ⇒ = = ≈


= =


Câu 45. %& &"W6>@%<iG; @6LN9N„9K"'
(^.""$'+("Nmg[Ω$G"H Um[9gjπ|!%O%& &">
8%("b[zCb[|‰2'"#K"R

g
?1W"/"# @6"G"&a
gYR"#„
g

„mb[Ωmgjπ x >„mv[ΩmSjπ x
„mb[ΩmSjπ x :„mv[Ωmgjπ x
* Hướng dẫn giải: *";
( ) ( )
( )
( )
e
S S
8
S S
8
g g g[
[ 
[9g
g[[ 
;
gE F b[ v[ 
L C
L C
Z Z L C F
C
U
I I I
R r Z Z
U

I A R r R
R r
ω
ω π
π
π
−

− ⇔ − = ⇔ = =


= ⇒ =


+ + −
= = ⇔ + = ⇔ = Ω
+

Câu 46. !mS[["%1g[[πEzF%%& &"W64 N„mg[[Ω9K"
'mgb9…µx"$'+(O"H "$G"H U(^.">6"31)7K"# &"
g[[u"$']% &"1D 1%D6‚O &"YRU
g
"#
"$"H i""$']0 &"
A.U
g
mejπE|Fm "%1Eg[[π_πjvFEF B.U
g
mgjπE|Fm "%1Eg[[π_πjvFEF
C.U

g
mejπE|Fm"%1Eg[[πhπjvFEF
C.U
g
mgjπE|Fm "%1Eg[[πhπjvFEF
* Hướng dẫn giải:
h*";
( )
( )
g
S S
S S
g
S S
[
g
g
g[[ S

"%1 g[[ "%1
v
g[[ v
g[[ g[[ g S
S "%1 g[[ 
v
L
U
C
tg L H
P

R
R
P I R I I A I A
i t A
ω
π
π
ω
ϕ ϕ ϕ
π
π
π

 
−
 ÷


 
 

− = ⇒ =
= ⇔ = ⇒ = −
 
 ÷
⇒
 
 
 
= ⇔ = ⇒ = ⇒ =

 


= +
 ÷

 

Câu 47. !gS[zCb[|‰%O%& &">W64 ;N„mc[Ω9"$
"H "NmS[Ω$G"H UmSjπ|K"'6^."2m
[
"31)
7 &">"G"&aI
8
YR"#
[
I
8

A.m[9gbjπE xFI
8
mgkvu B.m[9[bjπE xFI
8
mgvvu
C.m[9[bjπE xFI
8
mc[u D.m[9gjπE xFI
8
mgS[u
 !"#$%&$'('()*ợi-+ảng trị ,-./0

ện thi Đại học 2013
* Hướng dẫn giải: *";
( )
( )
( ) ( )
( )
( )
e
S
S
8
S S
S
8
g [9[bg[
[ 
;
gvv 
L C
L C
Z Z L C F
U R r
C
P I R r P P
U
R r Z Z
P W
R r
ω
ω π

−

= ⇔ − = ⇒ =

+

= + = ⇒ =

+ + −

= =

+
* Lưu ý:31)p7 &";
( )
S
P I R r= +
="31)p7„;
S
P I R=
Câu 48. |y("<%1W‚1
A.:%$"#"%B"]8%'D"'K"#%&G"O%1GG'%$
B.:%$G'%'%$""?"/K$"%""!"L"#3K$"%""(6W
7%
C.?'%$%HB) RL"#5!&"Ž
D.?7"#"%B"]8%/5DW."#5!
* Hướng dẫn giải:
9?'%$"Ni"
><EL'K"%B"]8%;
S

m
T
k
π
=
9F
9?@%R,;?5G" $'%$%OE("?
5N&RL"Ž!&"($D"F
:9?
S
m
T
k
π
= ⇒
T
X5D
m

Câu 49. A$"%B"J"0H"OW.g[[9'+(@%'b 0H"O1%"%1.'+("
1%DRL"+a $"[9[b'4H35W"W"<"359"'J
"BO'%$U)(mg[ j1
S
z5W""#"%B"13 $%Hπ jgS1
hgjc j1 >gjc j1
 jc j1 :h jc j1
* Hướng dẫn giải:
- Cách 1:
_YJ?'%$"#"%B"
( )

[
"%1s S t
ω ϕ
= +
E F*%;
( )
( )
[ [
[9Sb
S j
S l m
g
rad s
l
α
ω
= =


= =



_*&m[;
[
[
[
s S
v
ϕ

=

⇒ =

=

z5(J?'%$
( )
[9Sb"%1 S s t m=
_z5W";
( )
Z
[9Sb S1 S v s t m= = −
*&
S
E F;
gS
t s
π
=
( )
S S
[9Sb S1 S j 
gS c
v m s
π
 
= − = −
 ÷
 ÷

 
- Cách 2: *";
( )
S S
S
 S 
gS gS k
S
E F
gS
l
T s
g
T
t t
t s

= π = π

π π

⇒ ∆ = ⇒ ∆α = ω∆ = =

 π
∆ =


⇒
U(  $  "#  5; 
e

"%1
k S
A
x A
π
= = ⇒
 z5  W"  "#  5    ;
( )
S
S S S
S S S S S S S S
e S[9Sb S
E j F
v v S S c
v A A A
A x v A x A v m s
 
ω ω
 
= + ⇒ = ω − = ω − = ⇒ = ± = ± = ±
 ÷
 ÷
ω
 
 
:%5"($@%"+ 7
S
E j F
c
v m s= −

Câu 50. A$5'%$]9RLA"$8
mhb" 6w"$8m_b" %[9Sb1z56[9}b1
‚?0(&A# $"?>7$'%$]
 !"#$%&$'('()*ợi-+ảng trị ,-./0
ện thi Đại học 2013
b√S" 
>k"  c"  :…" 
* Hướng dẫn giải: *";
( )
[9Sb [9}b g [9Sb
v
MON MO ON
T
T s t t t
= + = ⇒ = + = =
( )
S
"%1 b b S 
c c v v
S
MO ON ON ON
T T A
t t t x A A cm
T
π π π
α ω
 
⇒ = = ⇒ ∆ = = = ⇒ = = = ⇒ =
 ÷
 

Phần II. Theo chương trình NÂNG CAO (10 câu, từ câu 51 đến câu 60):
Câu 51. A$5B"0(0 $K""WRD % @0L3PW"5
BW"$"ω7W"$eω
S9bω
S
 >Sω
S
 vω
S
 :[9bω
S

* Hướng dẫn giải: f'KRL$P;
S S S
S g
g g
v 
S S
đ
A A I I I
ω ω ω
= ∆ ⇔ = − =W
* Lưu ý:*%"($`;
S S
S g
g g

S S
đ
A mv mv= ∆ = −W

Câu 52. A$0(DW"$e[[[]j<?BO0("5 'ODW""
"$DaS['j1
S
*L<"BO0("5 'O9p1%H%+?'&M
gv9e1 >…9[g1 gb9}1 :Sv9[1
* Hướng dẫn giải:f'K;
e[[[S
[
k[
gb9}E F
S[
s t
t s
π
ω ω
γ
 
−
 ÷
−
 
= = =
−
* Lưu ý:3i"7JG"3i"%"($`
[

v v
t
a
−

=
Câu 53. A$8@0(DW""3^S'j1
S
9"m[<"8@BO0(*&
 mS1W"$""#8@
v'j1 >c'j1 v9c'j1 :S'j1
* Hướng dẫn giải:f'K;
[
vE j Ft rad s
ω ω γ
= + =
* Lưu ý:3i"7JG"3i"%"($`
[
v v at= +
Câu 54. A$]""W.39@%0H!"W.
g
mS

S
me%O $1.'+(B0 $]""K"0("WRa U)(W"
mg[ j1
S
YH61.'+(3'y3.7]"YW""#""0H!
mg j1
S
 >mS j1
S
 me j1
S
 :mv j1

S

* Hướng dẫn giải:
- Nhận xét::%]""W.37m[
h"'J"0("#]"
hf'KR5w%"%
g
9m
S
;m
g g g
S S S
T m g m a
m g T m a
− =


− =

EgF
h  f  'K  J  ?  $  G"  "  "%  ]  ";
( )
S g S g
  [ [
a a
M I T T R I T T
R R
γ
= ⇔ − = = = ⇒ =
ESF

h*EgFESF9";
( )
S g
S
S g
S E j F
m m g
a m s
m m
−
= =
+
Câu 55. A$"K"1B"%6<"BO" p9Ww66K"WDc[[
%
9?
0^"#"K"1B1l
1 "  $1"# p3^
>1 "  p1J
1 " $1"# p3^
:1 "  4 p17 
* Hướng dẫn giải:
><E6$b[[
%
?"K"1BBO0^?)(9<"0^
"#"/" p9W*6K"Dc[[
%
?1 " 9 p17 w$"
"%?0^ N$ "D"1BF
 !"#$%&$'('()*ợi-+ảng trị ,-./0
P

1
P
2
T
2
T
1
ện thi Đại học 2013
Câu 56. |&"0^"D"1')%'y(U( "#(7-%"D"1
O.λ
g
mgSgkE
[
F9λ
S
mg[SkE
[
F>6 i"P."#&L"L"ihg9bgE@zF
%@zmg9kg[
hg…
•9a1WIPmk9kSbg[
hev
•1W"$1%"+3"meg[
c
 j1Ai"
P."#&"JH@%JR@z
hge9k@z >hge9kS@z hge9kv@z :hge9ve@z
* Hướng dẫn giải:
h*";
e g g e

eg eg
hc hc
E E E E
λ λ
− = ⇒ = −
h*(1W;
ev c
g
… g…
k9kSbg[ eg[
g9bg  ge9kSE F
g[Skg[ g9kg[
eV
E eV
−
− −
= − − ≈ −
Câu 57. A$&"$PaSOP./"#%W"$1%"+3
eg[
c
E j1F*W"$"#&
S9bkg[
c
j1 >[9bkg[
c
j1 S9ceg[
c
j1 :[9kbg[
c
j1

* Hướng dẫn giải:
*";
( )
S c
S S S S S c
[ [ [
S
S
S
g g eg[ S S
g S g S9ceg[ j 
e e
g
v
W mc m c m c m c v m s
c
v
c
 
 ÷
 ÷
= − = − = ⇒ − = ⇒ = ≈
 ÷
−
 ÷
 
®
Câu 58. *W"$"# $7-Ha%7OW"$11l"5 J
O1%D0177 !)M
[9…veO >[9cgcO [9cSkO :[9ckkO

* Hướng dẫn giải:
hY
t∆
%0("6BD7-=
[
t∆
%0("6BD0
1E0("60LF
h*";
[
S
S
S
S
[
g
g [9…ve 
g
e
e
t
t
v
v
v c
c
c
t t
∆


∆ =


⇒ − = ⇒ ≈
−



∆ = ∆

Câu 59. *%0^(7-(39""&"%'y(> @$"T%%""T
1M
zT4%& >zT1?)(
zT-%& :zT1?)(T-%&
* Hướng dẫn giải:
:<9?'y(> @."&%""@@"%"("" i"P.7% i"mS
_>D"1')"#'y(> @;

( ) ( )
g…
e S eS
eS
ge9k ge9k
g9c… e9[SSg[ [9kb}
… v
hc
E E eV J m
λ µ
λ
−

−
= − = + ≈ = ⇒ ≈

_>D"1B)"#'y(> @;
( ) ( )
g…
S S
S
ge9k
e9v b9vvg[ [9ekbe
v
hc
E E eV J m
λ µ
λ
−
∞ ∞
∞
= − = = = ⇒ ≈

A1?)("D"1%%H
( ) ( )
[9ec [9}km m
µ λ µ
< <
⇒
""&"%'y(> @
$"T1?)(T-%&
Câu 60. z&"0^"#""1%%w+
R"LD"1' >R"LD"1B

%%3R"L%"H :"."LD"1'9"."
LD"1B
* Hướng dẫn giải:
:<
hhh|6hhh
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