bai tap + loi giai song dung-song co

Upload: tedien252

Post on 04-Apr-2018

222 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    1/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 1

    Trong cc k thi tuyn sinh i hc, phn sng c sng dng l mt phntng i kh. gip cc em c th h thng v n tp tt- ti c gngbin son ti liu ny. Quyn Sch trnh by tng i y cc dng bitp tn kh, hy vng l ti liu hu ch gip cc em luyn thi TN v H2011.

    Bi 1: Mt ngi quan st mt chic phao ni ln trn mt bin v thy n nh lncao 6 ln trong 15 giy, coi sng bin l sng ngang. Tnh chu k dao ng casng bin?A. 3(s) B.43(s) C. 53(s) D. 63(s)

    Bi gii: Ch vi dng bi ny ta nn dng cng thc trc nghim: 1n

    ft

    = ,

    trong t l thi gian dao ng. Phao nh ln 6 ln trong 15 giy ngha l phaothc hin c 5 dao ng trong 15 giy.

    Vy ta c 1 6 1 1 ( )15 3nf Hz

    t = = = suy ra 1 3( )T s

    f= =

    Bi 2 : Mt ngi quan st mt bin thy c 5 ngn sng i qua trc mt mnhtrong khong thi gian 10(s) v o c khong cch gia hai ngn sng lin tipl 5(m). Tnh vn tc sng bin ?A. 1(m) B. 2m C. 3m D.4m

    Bi gii: Tng t nh trn ta c :1 5 1 2

    ( )10 5

    nf Hz

    t

    = = = suy ra

    2. .5 2( )5

    v f m= = = Ch khong cch gia hai ngn sng lin tip chnh l

    Cu 3:(H 2007). Mt ngun pht sng dao ng theo phng trnh u = acos20t(cm). Trong khong thi gian 2(s) sng truyn I c qung ng bng baonhiu ln bc sng?A. 10. B. 20. C. 30. D. 40.

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    2/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 2

    Bi gii: theo phng trnh trn ta thy 20 = nn suy ra2 2

    0,1( )20

    T s

    = = =

    Do c 1 chu k th tng ng 1 bc sng, nn trong khong thi gian t=2(s) sngtruyn c qung ng S. ta c t l

    0,1(s) Vy

    2(s) S

    Hay0,1

    2 S

    = suy ra S=20

    Cu 4:Mot song co tan so 500Hz, co toc o lan truyen 350m/s. Hai iem gan nh au nhat trenphng truyen song phai cach nhau gan nhat mot khoang la bao nhieu e gia chung co o lech

    pha bang3

    rad ?

    A. 0,116m. B. 0,476m. C. 0,233m. D. 4,285m.

    Bi gii: Ta bit : trong sng c th lch pha l 2 .3

    d

    = = Suy ra

    6d

    =

    Trong : 350 0,7( )500

    vm

    f = = = vy khang cch cn tm l 0,7 0,116( )

    6 6d m

    = = =

    Cu 5: Mt sng m c tn s 450(Hz) lan truyn vi vn tc 360(m/s) trong khngkh. lch pha gia hai im cch nhau d=1(m) trn mt phng truyn sng l :A. 0,5 ( )rad = B. 1,5 ( )rad = C. 2,5 ( )rad = D. 3,5 ( )rad = Bi gii:

    2 . 2. .12,5

    0,8

    d

    = = = ( trong

    3600,8( )

    450

    vm

    f = = = )

    Cu6: Vn tc truyn m trong khng kh l 340(m/s) , khong cchgia hai imgn nhau nht trn cng mt phng truyn sng dao ng ngc pha nhau l0,8(m). Tn s m l:A. f=85(Hz) B. f=170(Hz) C. f=200(Hz) D. f=225(Hz)

    Bi gii: Ta bit 2 sng dao ng ngc pha khi lch pha2 .

    (2. 1)d

    k

    = = +

    Gn nhau nht th ly k=0 vy 2. 2.0,85 1,7( )d m = = = hay340

    200( )1, 7

    vf Hz

    = = =

    Cu 7: Khi bin ca sng tng gp i, nng lng do sng truyn tng bao nhiuln.

    A. Gim 1/4 B. Gim 1/2 C. Tng 2 ln D. Tng 4 ln

    Bi gii: nng lng2.

    2

    k AE Vy khi bin tng gp i th nng lng

    2 2 2. ' .4' 4 4

    2 2 2

    k A k A KAE E = = = Tng 4 ln

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    3/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 3

    Cu 8:Hiu pha ca 2 sng ging nhau phi bng bao nhiu khi giao thoa snghon ton trit tiu.

    A. 0 B. /4 C. /2 D.Bi gii: lch pha ca 2 sng ging nhau l : (2 1)k = + th khi giao thoachng mi trit tiu . Ly k=0 ta c =

    Cu 9: Tm vn tc sng m biu th bi phng trnh: u = 28cos(20x - 2000t)A. 334m/s B. 331m/s C. 314m/s D. 100m/s

    Bi gii: p dng phng trnh sng :2

    . . ( )x

    U A co s t

    = i chiu ln phng

    trnh trn ta thy2

    20x

    x

    = suy ra

    2

    20 10

    = = m

    2000. ( ) .( ) 100

    2 10 2v f

    = = = = ( m/s) ( Do 2000 = )

    Cu 10: Mt mi nhn S c gn vo u ca mt l thp nm ngang vchm vo mt nc. Khi u l thp dao ng theo phng thng ngvi tn s f = 100 (Hz), S to trn mt nc mt sng c bin a = 0,5(cm). Bit khong cch gia 9 gn li lin tip l 4 (cm). Tnh vn tctruyn sng trn mt nc.A. 100 cm/s B. 50 cm/s C. 100cm/s D. 150cm/s

    Bi gii: p dng cng thc trc nghim khong cch gia n ngn sng lin tipl :

    ( 1)l n = Trong n l s ngn sng : ta c44 (9 1) 0,58

    = = = (cm) Vy . 100.0,5 50( / )v f cm s= = =

    Nhn vo hnh v ta thy t ngn sng th 1 n ngn sng th 9 cch nhau 8

    Cu11: (Bi tp tng t) : Ngun pht sng trn mt nc to dao ng

    vi tn s f=100(Hz) gy ra sng trn mt nc . Bit khong cch gia 7gn li (bng sng lin tip) l 3(cm) . Tnh vn tc truyn sng trn mtnc ?A. 50(cm/s) B. 25(cm/s) C.100(cm/s) D.150(cm/s)

    Bi gii: p dng cng thc trc nghim khong cch gia n ngn sng lin tipl :

    ( 1)l n = Trong n l s ngn sng : ta c

    1 9

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    4/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 4

    3

    3 (7 1) 0,56

    = = = (cm) Vy . 100.0,5 50( / )v f cm s= = =

    Cu12: Mt ngun sng c dao ng iu ho theo phng trnh

    +=

    210cos

    tAx . Khong cch gia hai im gn nhau nht trn phng

    truyn sng m ti dao ng ca cc phn t mi trng lch pha nhau

    2

    l 5 (m). Hy tnh vn tc truyn sng.

    A. 150m/s B. 120m/s C. 100m/s D. 200m/s

    Bi gii: lch pha gia hai phn t trn phng truyn sng l:

    2 2 .5

    2 2

    d

    = = = Vy bc sng l: 20( )m = suy ra vn tc

    truyn sng :

    10. .( ) 20.( ) 200( )2 2

    m

    v f s

    = = = =

    Cu 13: Cho mt mi nhn S chm nh vo mt nc v dao ng iu hovi tn s f = 20 (Hz). Ngi ta thy rng hai im A v B trn mt nccng nm trn phng truyn sng cch nhau mt khong d = 10 (cm)lun dao ng ngc pha vi nhau. Tnh vn tc truyn sng, bit rngvn tc ch vo khong t 0,8 (m/s) n 1 (m/s).A. 100 m/s B. 90m/s C. 80m/s D. 85m/s

    Bi gii: lch pha gia hai phn t theo phng truyn sng l:

    2(2 1)

    dk

    = = + (Do hai im dao ng ngc pha) vy ta c :

    (2 1) (2 1)

    2 2

    k k vd

    f

    + += = Suy ra :

    2 2.0,1.20 4

    (2 1) 2 1 2 1

    dfv

    k k k= = =

    + + +

    Do gi thit cho vn tc thuc khong 0,8 1( )v m nn ta thay biu thcca V vo :

    40,8 1

    (2 1)v

    k =

    + gii ra : 2 1 4k+ Suy ra : 1,5k

    42 1

    0,8k+ Suy ra 2k

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    5/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 5

    hay: 1,5 2k do k thuc Z nn ly k=2 v thay vo biu thc

    4 40,8( )

    2 1 2.2 1v m

    k= = =

    + +

    Cu 14: . Mt si dy n hi rt di c u A dao ng vi tn s f v

    theo phng vung gc vi si dy. Bin dao ng l 4 (cm), vn tctruyn sng trn y l 4 (m/s). Xt mt im M trn dy v cch A mton 28 (cm), ngi ta thy M lun lun dao ng lch pha vi A mt gc

    (2 1)2

    k

    = + vi k = 0, 1, 2, Tnh bc sng . Bit tn s f c gi tr

    trong khong t 22 (Hz) n 26 (Hz).A. 8 cm B. 12 cm C. 14 cm D.16 cm

    Bi gii: lch pha gia hai phn t theo phng truyn sng l:

    2 (2 1) 2d k

    = = + (ch : bi ny ngi ta cho sn lch pha)

    Tng t nh bi trn ta c :(2 1) (2 1)

    4 4

    k k vd

    f

    + += =

    Suy ra : (2 1)4

    vf k

    d= + thay s vo ta c :

    4 2 1(2 1)

    4.0, 28 0,28

    kf k

    += + =

    Do 22 26( )f Hz nn ta c :2 1

    22 26( )

    0,8

    kHz

    +

    Gii ra ta c : 2,58 3,14 3k k = vy2 1 2.3 1

    25( )0,28 0, 28

    kf Hz

    + += = = vy

    40,16( ) 16

    25

    vm cm

    f = = = =

    Cu15: Mt sng c hc truyn trong mt trng n hi.Phng trnh

    dao ng ca ngun c dng: 4 ( )3

    x cos t cm

    =

    .Tnh bc sng . Cho bit

    vn tc truyn sng v = 40 (cm/s) Tnh lch pha ca hai im cchnhau mt khong 40 (cm) trn cng phng truyn sng v ti cng thiim.A. /12 B. /2 C. /3 D. /6

    Bi gii: lch pha gia hai phn t theo phng truyn sng l:

    1( )

    2 3.2 6f Hz

    = = = Suy ra

    2 2 2 .40

    40.6 3

    d df

    v

    = = = =

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    6/27

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    7/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 7

    Hiu ng i ti sng c bin cc i l :

    1 2 19 20 1. 2( )d d k cm = = = ( do thay k=-1)

    Vy vn tc truyn sng l : . 2.13 26( / )v f cm s= = =

    Cu 18: Trong th nghim v hin tng giao thoa sng trn mt nc hai ngunkt hp Av B dao ng vi tn s f=13(Hz) . Ti 1 im M cch ngun ABnhng khong d1=16(cm) v d2=20(cm) , sng c bin cc i. Gia M vng trung trc ca AB c 3 dy cc i khc. Tnh vn tc truyn sng trnmt nc?A. 26,7(cm/s) B. 20(cm/s) C. 40(cm/s) D. 53,4(cm/s)

    Bi gii: Tng t M l mt cc i giao thoa v gia M vi ng trung trc caAB c thm ba cc i khc tng cng c 4 cc i, v d1

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    8/27

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    9/27

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    10/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 10

    Bi gii:Do A, B dao ng cng pha nn s ng cc i trn AB tho mn:

    AB ABK

    < <

    thay s ta c :

    8 8

    6,67 6,671, 2 1, 2K k

    < < < < Suy ra ngha l ly gi tr Kbt u t 6, 5, 4, 3, 2, 1,0 . Kt lun c 13 ng

    Bi 24: Hai ngun sng cng bin cng tn s v ngc pha. Nu khong cchgia hai ngun l: 16,2AB = th s im ng yn v s im dao ng vi bin cc i trn on AB ln lt l:A. 32 v 33 B. 34 v 33 C. 33 v 32 D. 33 v 34.

    Bi gii: Do hai ngun dao ng ngc pha nn s im ng yn trn on AB

    l :

    AB ABK

    < < Thay s :

    16, 2 16, 2K

    < < Hay : 16,2

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    11/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 11

    Bi 26 : Trn mt nc c hai ngun kt hp A,B cch nhau 10(cm) dao ng

    theo cc phng trnh : 1 0,2. (50 )u cos t cm = + v : 1 0, 2. (50 )2u cos t cm

    = + . Bit vn

    tc truyn sng trn mt nc l 0,5(m/s). Tnh s im cc i v cc tiu trnon A,B.A.8 v 8 B.9 v 10 C.10 v 10 D.11 v 12

    Bi gii : nhn vo phng trnh ta thy A, B l hai ngun dao ng vung phann s im dao ng cc i v cc tiu l bng nhau v tho mn :

    1 1

    4 4

    AB ABK

    < <

    Vi2 2

    50 ( / ) 0,04( )50

    rad s T s

    = = = = Vy : . 0,5.0,04 0,02( ) 2v T m cm = = = =

    Thay s :10 1 10 1

    2 4 2 4

    K

    < < Vy 5, 25 4,75k < < : Kt lun c 10

    im dao ng vi bin cc i v cc tiu

    DNG BI TP XC NH S IM CC I, CC TIU TRN ON THNG CDTO VI AB MT HNH VUNG HOC HNH CH NHTPP: Vi dng bi tp ny ta thng c 2 cch gii. Sau y ta tm hiu 2 cch giiny.

    TH1: Hai ngun A, B dao ng cng pha.

    Cch1: Ta tm s im cc i trn on DI. Suy raS im cc i trn on DC l: k=2.k+1( do DC =2DI, k c ng trung trc ca CD)t 1DA d= , 2DB d=

    Bc 1: S im cc i trn on DI tho mn :2 1

    2 1

    d d BD ADd d k k

    = = = Vi k thuc Z.

    Bc 2 : Vy s im cc i trn on CD l : k=2.k+1S im cc tiu trn on CD : k=2.k

    Cch 2 : S im cc i trn on CD tho mn :2 1

    2 1

    d d k

    AD BD d d AC BC

    =

    < <

    Suy ra : AD BD k AC BC < < Hay :AD BD AC BC

    k

    < < . Gii suy ra k.

    S im cc tiu trn on CD tho mn : 2 1

    2 1

    (2 1)2

    d d k

    AD BD d d AC BC

    = +

    < <

    A B

    D C

    O

    I

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    12/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 12

    Suy ra : (2 1)2

    AD BD k AC BC

    < + < Hay :2( ) 2( )

    2 1AD BD AC BC

    k

    < + <

    TH2: Hai ngun A, B dao ng ngc pha ta o li kt qu.t 1AD d= , 2BD d=

    TM S IM CC I TRN CD

    Cch 2 : S im cc i trn on CD tho mn : 2 1

    2 1

    (2 1)2

    d d k

    AD BD d d AC BC

    = +

    < <

    Suy ra : (2 1)2

    AD BD k AC BC

    < + < Hay :2( ) 2( )

    2 1AD BD AC BC

    k

    < + <

    TM S IM CC TIU TRN ON cd

    Cch 2 : S im cc tiu trn on CD tho mn : 2 1

    2 1

    d d k

    AD BD d d AC BC

    =

    < <

    Suy ra : AD BD k AC BC < < Hay :AD BD AC BC

    k

    < < . Gii suy ra k.

    Bi : Trn mt nc, hai ngun kt hp A, B cch nhau 40cm lun dao ng cngpha, c bc sng 6cm. Hai im CD nm trn mt nc m ABCD l mt hnhch nht, AD=30cm. S im cc i v ng yn trn on CD ln lt l :A. 5 v 6 B. 7 v 6 C. 13 v 12 D. 11 v 10

    Bi gii : 2 2 50BD AD AB AD cm= = + =

    Cch 1 : Bc 1: S im cc i trn on DI tho mn :2 1

    2 1

    50 303,33

    6

    d d BD ADd d k k

    = = = = = Vi k thuc Z ly k=3

    Bc 2 : Vy s im cc i trn on CD l : k=2.k+1=3.2+1=7

    S im cc tiu trn on DI tho mn :2 1

    2 12( ) 2( ) 2(50 30)(2 1) 2 1 6,67

    2 6d d BD ADd d k k

    = + + = = = = . Gii suy ra k=2,83

    (Vi k thuc Z) nn ly k=3 ( v 2,83 2,5k = > ta ly cn trn l 3)Bc 2 : Vy s im cc tiu trn on CD l : k=2.k=2.3=6

    Cch 2 :Do hai ngun dao ng cng pha nn s im dao ng vi bin cc i trnon CD tho mn :

    A B

    D C

    O

    I

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    13/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 13

    S im cc i trn on CD tho mn : 2 12 1

    d d k

    AD BD d d AC BC

    =

    < <

    Suy ra : AD BD k AC BC < < Hay :AD BD AC BC

    k

    < < . Hay :

    30 50 50 30

    6 6k

    < <

    Gii ra : -3,3

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    14/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 14

    2 1

    2 1

    (2 1)2

    d d k

    AD BD d d AB O

    = +

    < <

    (v im D B nn v phi AC thnh AB cn BC thnh

    B.B=O)

    Suy ra : (2 1)2

    AD BD k AB

    < + < Hay :2( ) 2

    2 1AD BD AB

    k

    < + < . Thay s :

    2(20 20 2) 2.202 1

    1,5 1,5k

    < + < Suy ra : 11,04 2 1 26,67k < + < Vy : -6,02

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    15/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 15

    Hng dn : Do hai ngun dao ng cng pha nn n gin ta cho pha ban u cachng bng 0. lch pha gia hai im trn phng truyn sng:

    2 d

    = . Xt im M nm trn ng trung trc ca AB cch A mt on d1 v cch

    B mt on d2. Suy ra d1=d2. Mt khc im M dao ng cng pha vi ngun nn12 2

    dk

    = = Hay : 1 1,6 (1)d k k= = . Theo hnh v ta thy 1AO d AC (2). Thay

    (1) vo (2) ta c :2

    21,6

    2 2

    AB ABk OC

    +

    (Do2

    ABAO = v

    22 10( )

    2

    ABAC OC cm

    = + =

    )

    Tng ng:

    4

    6 1,6 10 3,75 6,25 5

    6

    k

    k k k

    k

    =

    =

    =Kt lun trn on CO c 3 im

    dao dng cng pha vi ngun.

    DNG BI TP XC NH S IM CC I, CC TIU TRN ng trn tmo l trung im ca AB.

    Phng php : ta tnh s im cc i hoc cc tiu trn on AB l k. Suy ra sim cc i hoc cc tiu trn ng trn l =2.k . Do mi ng cong hypebolct ng trn ti 2 im.Bi : Trn mt nc c hai ngun sng nc A, B ging ht nhau cch nhaumt khong 4,8AB = . Trn ng trn nm trn mt nc c tm l trung imO ca on AB c bn knh 5R = s c s im dao ng vi bin cc i l :A. 9 B. 16 C. 18 D.14

    Bi gii : Do ng trn tm O c bn knh 5R = cn 4,8AB = nn on ABchc chn thuc ng trn. V hai ngun A, B ging ht nhau nn dao ng

    cng pha. S im dao ng vi bin cc i trn AB l :AB AB

    K

    < < Thay

    s :4,8 4,8

    K

    < < Hay : -4,8

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    16/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 16

    DNG BI TP XC NH BIN CA GIAO THOA SNG TNG HP.

    PP: TH1: Hai ngun A, B dao ng cng pha

    T phng trnh giao thoa sng: 2 1 1 2( ( )

    2 . . .Md d d d

    U A cos cos t

    + =

    Ta nhn thy bin giao ng tng hp l: 2 1( )2 . cos(M d dA A

    =

    Bin t gi tr cc i 2 1 2 1( )

    12MAd d

    cos d d k A

    = ==

    Bin t gi tr cc tiu 2 1 2 1( )

    (2 12

    0 )MAd d

    cos o d d k

    = = +=

    Ch : Nu O l trung im ca on AB th ti 0 hoc cc im nm trn ngtrung trc ca on A,B s dao ng vi bin cc i v bng: 2MA A= (v lc

    ny 1 2d d= )

    TH2: Hai ngun A, B dao ng ngc pha

    Ta nhn thy bin giao ng tng hp l: 2 1( )

    2 . cos(2M

    d dA A

    =

    Ch : Nu O l trung im ca on AB th ti 0 hoc cc im nm trn ngtrung trc ca on A,B s dao ng vi bin cc tiu v bng: 0MA = (v lc

    ny 1 2d d= )

    TH2: Hai ngun A, B dao ng vuong pha

    Ta nhn thy bin giao ng tng hp l: 2 1( )2 . cos(4M

    d dA A

    =

    Ch : Nu O l trung im ca on AB th ti 0 hoc cc im nm trn ngtrung trc ca on A,B s dao ng vi bin : 2MA A= (v lc ny 1 2d d= )

    Bi : (H 2008). Ti hai im A, B trong mi trng truyn sng c hai ngunkt hp dao ng cng phng vi phng trnh ln lt l : . ( )( )AU a cos t cm= v

    . ( )( )BU a cos t cm = + . Bit vn tc v bin do mi ngun truyn i khng i

    A BO

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    17/27

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    18/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 18

    Bi : Hai ngun sng kt hp A v B cng tn s, cng bin v cng pha. Coibin sng khng i. im M, A,B, N theo th t thng hng. Nu bin daong tng hp ti N c gi tr l 6mm, th bin dao ng tng hp ti N c gitr:A. Cha d kin B. 3mm C. 6mm D. 3 3 cm

    Bi gii : Ta c : MA MB NA NB AB = =

    Bin tng hp ti N c gi tr bng bin dao ng tng hp ti M v bng6mm

    Dng bi tp xc inh khong cch ngn nht v ln nht t mt im btkn hai ngunBi 1 : Trn b mt cht lng c hai ngun kt hp AB cch nhau 40cm dao ngcng pha. Bit sng do mi ngun pht ra c tn s f=10(Hz), vn tc truyn sng

    2(m/s). Gi M l mt im nm trn ng vung gc vi AB ti A dao ng vibin cc i. on AM c gi tr ln nht l :A. 20cm B. 30cm C. 40cm D.50cmHng dn :

    Ta c 200 20( )10

    vcm

    f = = = . Do M l mt cc i giao thoa nn on AM c gi tr

    ln nht th M phi nm trn vn cc i bc 1 nh hnh v v tha mn :

    2 1 1.20 20( )d d k cm = = = (1). ( do ly k=+1)Mt khc, do tam gic AMB l tam gic vung ti A nn ta c :

    2 2 2 22 1( ) ( ) 40 (2)AM d AB AM d= = + = + Thay (2) vo (1) ta c :

    2 21 1 140 20 30( )d d d cm+ = = p n BBi 2 : Trn b mt cht lng c hai ngun kt hp AB cch nhau 100cm dao ngcng pha. Bit sng do mi ngun pht ra c tn s f=10(Hz), vn tc truyn sng3(m/s). Gi M l mt im nm trn ng vung gc vi AB ti A dao ng vibin cc i. on AM c gi tr nh nht l :A. 5,28cm B. 10,56cm C. 12cm D. 30cmHng dn

    M A B N

    AB

    M

    K=0

    d1 d2

    K=1

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    19/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 19

    Ta c 300 30( )10

    vcm

    f = = = . S vn dao ng vi bin dao ng cc i trn on

    AB tha mn iu kin : 2 1AB d d k AB < = < . Hay :100 100

    3,3 3,33 3

    AB ABk k k

    < < < < < < . Suy ra : 0, 1, 2, 3k = . Vy on

    AM c gi tr b nht th M phi nm trn ng cc i bc 3 nh hnh v v thamn : 2 1 3.30 90( )d d k cm = = = (1) ( do ly k=3)Mt khc, do tam gic AMB l tam gic vung ti A nn ta c :

    2 2 2 22 1( ) ( ) 100 (2)AM d AB AM d= = + = + Thay (2) vo (1) ta c :

    2 21 1 1100 90 10,56( )d d d cm+ = = p n B

    Sng dng

    Cu 1: Hai ngi ng cch nhau 4m v quay mt si dy nm gia h. Hi bc sng ln nht casng dng m hai ngi c th to nn l bao nhiu ?

    A. 16m B. 8m C. 4m D.12m

    Bi gii: p dng cng thc tnh chiu di dy cho sng dng c cnh 2 u ;

    2

    kl

    = suy ra

    2l

    k = vy c max th k=1 Vy max 2 8( )l m = =

    C u 2: Mt sng dng c phng trnh : (x , y ( cm), t(s))khong cch tmt nt sng , qua 4 bng sng , n mt nt sng khc l :

    A.10cm B. 20cm C. 30cm D. 40cm

    Bi gii: Bc sng : D a v o phng trnh trn ta thy2

    0,2 .x

    x

    =

    Khong cch t mt nt sng , qua 4 bng sng , n mt nt sng khc l :

    ngi 1 ngi 2

    AB

    M

    K=0

    d1 d2

    K=3

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    20/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 20

    Cu 3: Trn mt si dy di 1m (hai u dy cnh) ang c sng dng vi tn s 100Hz. Ngita thy c 4 im dao ng rt mnh. Vn tc truyn sng trn dy l:

    A. 50(m/s) B. 200(m/s) C. 25(m/s) D.100(m/s)

    Bi gii: Trn dy c 4 im dao ng mnh nn trn dy c 4 bng sng v di dy bng 2 lnbc sng.

    Bc sng : Vn tc truyn sng :

    Chn p n A.

    Cu 4: Trn mt si dy di 1,4m c cng ra , hai u cnh. Ngi ta lm cho si dy daong vi tn s 10Hz th thy trn dy c 8 im lun ng yn (k c 2 u dy). Vn tc truynsng trn dy l :

    A. 1,5(m/s) B. 2,4 (m/s) C.4(m/s) D. 3,2(m/s)

    Bi gii: Trn dy c 8 im ng yn k c 2 u dy nn s bng sng l : 8 - 1 = 7 bng sng.

    di dy : bc sng : Vn tc truyn sng :

    Chn p n C.

    C u 5: Ti mt dao ng cho mt dy n hi theo phng vung gc vi si dy vi tn s 3Hz.Sau 3 giy chuyn ng truyn c 12m dc theo si dy. Bc sng to ra trn si dy :

    A. 2,33(m) B. 2(m) C.3,33 (m) D.3(m)

    Bi gii: Vn tc truyn sng trn si dy l : Vy bc sng to ra l :

    Chn p n C

    C u 6: Mt dy AB di 120cm , u A mc vo mt nhnh m thoa c tn s f = 40 Hz, u B cnh.Cho m thoa dao ng , trn dy c sng dng vi 4 b sng. Vn tc truyn sng trn dy l :

    2l =

    nt nt

    bng

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    21/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 21

    A.20(m/s) B. 15(m/s) C. 28(m/s) D. 24(m/s)

    Bi gii: Trn dy c sng dng vi 4 b sng , hai u cnh nn dy di 2 ln bc sng.

    Vn tc truyn sng :

    Vy chn p n D.

    C u 7: Nhng c im no sau y khng thuc v sng dng :

    1/ Sng c cc nt v cc bng cnh trong khng gian.

    2/ng dng ca sng dng l xc nh vn tc truyn sng trn dy.

    3/iu kin c sng dng khi hai u dy l nt l chiu di dy phi bng n ln bc sng vi nl s nt sng.

    4/ Khong cch gia hai bng sng bng na ln bc sng.

    A.1v 2 B. 2 v 3 C. 3 v 4 D. 2 v 4

    Bi gii: Theo nh ngha sng dng l : Sng c cc nt v cc bng cnh trong khng gian. nn(1) ng

    ng dng ca sng dng l xc nh vn tc truyn sng trn dy. (2) ng

    iu kin c sng dng khi hai u dy l nt l chiu di dy phi bng n ln bc sng vi n l

    s nt sng.(3) sai v iu kin xy ra sng dng khi :

    Khong cch gia hai bng sng bng na ln bc sng. (4) sai v phi l khong cch gia haibng sng lin tip nhau

    C u 8 : Mt ng so di 80cm, hhai u, to ra mt sng dng trong ng so vi m l cc i hai u ng, trong khong gia ng so c hai nt sng. Cho vn tc truyn m trong khng kh l340m/s, tn s m do ng so pht ra l:

    A.2120,5(Hz) B 425(Hz) C. 850(Hz) D. 800(Hz)

    Bi gii: Theo bi ra: ta coi ng so c hai u l nt c s ng dng x y ra th chiu d i ng

    so ph i tha m n :

    Chn B

    Cu9 : Mt nhc c pht ra m c tn s m cbn l f = 420 Hz. Mt ngi c th nghe c mc tn s cao nht l 18000 Hz. Tn s m cao nht m ngi ny nghe c do nhc c ny pht ral :

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    22/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 22

    A.17850(Hz) B. 17640(Hz) C. 42,857142(Hz) D. 18000(Hz)

    Bi gii: (B)Cu 10: Mt ngun m O xem nh ngun im, pht m trong mi trng nghng v khng hp th m. Ngng nghe ca m l . Ti mtim A ta o c mc cng m l L = 70 dB. Cng m I ti A c gi tr l:

    A. 72

    W10

    m

    B. 72

    W10

    mC. 5

    2

    W10

    m

    D.2

    W70

    m

    Bi gii: Xt ti im A ta c: L = 10 = 70. => = 7 => = => I =

    Vy chn C.

    Cu11: : to hay nh ca mt m m tai cm nhn c s ph thuc vo

    A. cng v bin ca m B. cng ca m v vn tc m

    C. cng v tn s ca m. D. tn s ca m v vn tc m

    Vy chn C.

    C u 12: Pht biu no sau ykhng ng ?

    A. Dao ng m c tn s trong min t 16Hz n 20kHz

    B. V bn cht th sng m , sng siu m , sng h m u l sng c

    C. Sng siu m l nhng sng m tai ngi khng th nghe thy c

    D. Sng m l sng dc

    Bi gii: Sng m l sng dc c tn s t 16Hz n 20KHz.

    Nhng sng c tn s di 16Hz gi l sng h m v trn 20KHz gi l sng siu m.

    Tai ngi khng th nghe c h m v siu m.

    Chn p n C.

    C u 13 : Pht biu no sau y l sai:

    A. Sng c hc l s lan truyn ca trng thi dao ng trong mi trng vt cht.

    B. Sng ngang c phng dao ng vung gc vi phng truyn sng.

    C. Qu trnh truyn sng l qu trnh truyn nng lng.

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    23/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 23

    D. Sng c hc dc khng truyn c trong chn khng nhng sng c dc ngang truyn ctrong chn khng.

    Bi gii: Sng c truyn c trong khng gian l do sn hi ca mi trng vt cht. Trongkhng gian ko c vt cht nh trong kh quyn Tri t nn sng chc khng th truyn c vyD sai. Chn D.

    C u 14: Mt sng chc c phng trnh sng:

    Bit khong cch gn nht gia 2 im c lch pha i vi nhau l 1m. Vn tc truyn sng l :

    A.2,5(m/s) B. 5(m/s) C.10(m/s) D.20(m/s)

    Bi gii: lch pha ca 2 im trn phng truyn sng l :

    lch pha ca hai im cch nhau 1m l , ta c: Chn D

    A.2,5(m/s) B. 5(m/s) C.10(m/s) D.20(m/s)

    Cu 15:Hiu pha ca 2 sng ging nhau phi bng bao nhiu khi giao thoa sng hon tontrit tiu.

    A. 0 B.4

    C.

    2

    D.

    Bi gii: Trong sng giao thoa 2 sng trit tiu nhau th

    vi k = 0, 1 ,2 ,................ n nh vy vi k = 0 th

    chn cu D l ng

    Cu 16: Mt sng ngang tn s 100Hz truyn trn mt si dy nm ngang vi vn tc 60m/s. M vN l hai im trn dy cch nhau 0,75m v sng truyn theo chiu t M ti N. Chn trc biu din li cho cc im c chiu dng hng ln trn . Ti mt thi im no M c li m v angchuyn ng i xung. Ti thi im N s c li v chiu chuyn ng tng ng l :

    A. m, i xung B. m, i ln C. d ng, i xung D. d ng, i ln

    Bi gii: Bc sng : lch pha gia M v N :

    dao ng ti M v N vung pha .

    Do ti thi im N ang c li m v chuyn ng i ln.

    Chn p n B. Nhn ln hnh v ta thy

    M v N dao ng vung pha th khi M

    M N

    O X

    +

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    24/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 24

    i xung th im N phi i ln v

    v c hai u ang nm di trc OX nn

    lc ny c hai u ang c li

    Hoc ta c th biu din qua chuyn ng trn u :

    Khi M i xung N i ln trn ng trn th tng ng

    lch pha ca M v N l gc MON gc ny vung

    C u 17: Mt sng chc truyn tim O ti M . O v M cch nhau mt on bng 5 ln bcsng . Dao ng ti O v M :

    A. Cng pha B. Vung pha C. Ng c pha D. l ch pha3

    4

    Bi gii: M v O cch nhau mt s nguyn ln bc sng nn dao ng cng pha .

    Chn p n A.

    Cu 18: Thc hin giao thoa trn mt mt cht lng vi hai ngun ging nhau, cch nhau13cm cng c phng trnh dao ng l U = 2sin t. Vn tc truyn sng trn mt cht lng l80cm/s. Xem bin sng khng gim khi truyn i t ngun. Sim ng yn trn on l:

    A. 4 B. 8 C. 5 D. 7

    Bi gii: Bin dao ng tng hp ca im M bt k thuc l:

    trong ln lt l di v

    Gi sim M ng yn, ta c A=0, suy ra (1)

    Li c cm

    Vy (1) tng ng vi (k thuc Z)

    Hay

    M M thuc nn cm

    T rt ra v 0<

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    25/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 25

    C u 19: Hai ngun sng cAB cch nhau dao ng chm nh trn mt cht lng, cng tn s100Hz, cng pha theo phng vung vung gc vi mt cht lng. Vn tc truyn sng 20m/s.Sim khng dao ng trn on AB=1m l :

    A.11 im B. 20 im C.10 im D. 15 im

    Bi gii: Bc sng20

    0,2

    100

    vm

    f

    = = = : Gi sim khng dao ng trn on AB l k , ta

    c : Suy ra 5,5 4,5k < < vy k = -5;-4;-3;-2;-1;0;1;2;3;4 .

    Hay C 10 im . Chn p n C.

    C u 20: Hai ngun sng cdao ng cng tn s, cng pha .Quan st hin tng giao thoa thy trnon AB c 5 im dao ng vi bin cc i (k c A v B). Sim khng dao ng trn onAB l:

    A. 6 B. 4 C. 5 D. 2

    Bi gii: Trong hin tng giao thoa sng trn mt cht lng , hai ngun dao ng cng pha th trnon AB , sim dao ng vi bin cc i s hn sim khng dao ng l 1.

    Do sim khng dao ng l 4 im.Chn p n B.

    Cu 20: Ti im M cch ngun sng v , sng c bin cci. Bit rng gia M v ng trung trc ca c mt ng dao ng mnh, tn sca sng l f=15Hz. Tnh vn tc truyn sng trn mt nc.

    A. 18 (cm/s) B. 24(cm/s) C. 36(cm/s) D. 30(cm/s)

    Bi gii:

    Chn B.

    C u 21:iu no ng khi ni v nng lng sng?

    A. Trong qu trnh truyn sng th nng lng sng khng truyn i v n li lng bo ton

    B. Qu trnh truyn sng l qu trnh truyn nng lng.

    C. Khi sng truyn t mt ngun im trn mt phng, nng lng sng gim tl bnh phngvi qung ng truyn sng.

    D. Khi sng truyn t mt ngun im trong khng gian, nng lng sng gim t l vi qungng truyn sng. Bi gii: (B)

    C u 22: iu no sau y l sai khi ni v nng lng ca sng chc?

    A. Khi sng truyn t mt ngun im trong khng gian, nng lng sng gim t l vi bnhphng qung ng truyn sng.

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    26/27

    WWW.DAYKEMQUYNHON.UCOZ.COM

    Trn bcng thnh cng, khng c du chn ca k li bing! 26

    B. Nng lng sng lun lun khng i trong qu trnh truyn sng.

    C. Khi sng truyn t mt ngun im trn mt phng, nng lng sng gim t l vi qungng truyn sng.

    D. Qu trnh truyn sng l qu trnh truyn nng lng.

    Bi gii: trong thc t, nng lng sng chc s gim trong qu trnh truyn sng do mt mtnng lng ra bn ngoi mi trng (ma st) nn nng lng lun lun ko i trong qu trnh truynsng l sai . chn B

    C u 23: Khi bin ca sng tng gp i, nng lng do sng truyn thay i bao nhiu ln?

    A. Gi m B. Gi m C. Khng thay i D. Tng 4 ln

    Bi gii: Nng lng sng:

    Cu 23: Sng m truyn trong thp vi vn tc 5000(m/s) . Hai im trong thp

    dao ng lch pha nhau 900 m gn nhau nht th cch nhau mt on 1,5(m).Tn s dao ng ca m l :A. 833(Hz) B. 1666(Hz) C. 3,333(Hz) D. 416,5(Hz)Bi gii:

    lch pha2

    2

    d

    = = Suy ra bc sng

    2 .1, 56

    2

    m

    = = m

    5000833( )

    6

    vf Hz

    = = =

  • 7/31/2019 Bai Tap + Loi Giai Song Dung-song Co

    27/27

    WWW.DAYKEMQUYNHON.UCOZ.COM