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58
ΥΠΟΥΡΓΕΙΟ ΠΑΙΔΕΙΑΣ ΚΑΙ ΘΡΗΣΚΕΥΜΑΤΩΝ ΙΝΣΤΙΤΟΥΤΟ ΕΚΠΑΙΔΕΥΤΙΚΗΣ ΠΟΛΙΤΙΚΗΣ ΙΝΣΤΙΤΟΥΤΟ ΤΕΧΝΟΛΟΓΙΑΣ ΥΠΟΛΟΓΙΣΤΩΝ ΚΑΙ ΕΚΔΟΣΕΩΝ «ΔΙΟΦΑΝΤΟΣ» B΄ ΓΕΝΙΚΟΥ ΛΥΚΕΙΟΥ Λύσεις ασκήσεων Φυσική

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  • B

    ISBN 978-960-06-4822-5

    : 0-22-0220

    (01) 000000 0 22 0220 4

  • 22-0220_01-15x22.5.indd 1 6/6/2014 2:43:07

  • & , - / & / .

    E .

    1 ' , 2013 2 ' , 2013

    , Msc , 5 , . , , , - , , 1 , , - , , . , , , , - , . ,

    , ,

    ,

    , - -

    . ... . - .

    3 4 ' -, 2013

    , , 3 , , 1 , , 56 , , ...

    , , 6 , . ..... , , 4

    , ,

    , ,

    22-0220_01-15x22.5.indd 2 12/6/2014 12:47:27

  • & , - / & / .

    E .

    OIO II I

    22-0220_01-15x22.5.indd 3 6/6/2014 2:45:09

  • 22-0220_01-15x22.5.indd 4 3/6/2014 1:43:11

  • 1. Qn.Q=nqe,

    , :

    A. n = 1019e

    . n = 1016e

    . n = 1013e

    . n = 1010e

    . n = 107e

    2. Coulomb:

    ()

    A.

    .

    3.Coulomb

    4. q.-:

    5.

    q-F1F2Q1Q2.

    1

    2

    22-0220_01-15x22.5.indd 5 12/6/2014 12:31:10

  • :

    F=F1-F2 F=(43,2-28,8)N F = 14,4N F1.

    6.

    () = ()-() () = 0,8m

    FA, F Q2 :

    F = FA+FB F = 0,55N

    FA, F .

    7.

    :

    . Coulomb

    : =2107/C

    Q.

    6

    22-0220_01-15x22.5.indd 6 3/6/2014 1:43:12

  • 8. ,

    9.

    10.

    1 2.

    :

    = 1-2 = 20105/C

    1.

    11. A. :

    x.

    . q2 :

    .

    12. , , x . +2C +8C, - ( ).

    O,1

    4

    7

    22-0220_01-15x22.5.indd 7 12/6/2014 12:31:41

  • x1 = 0,1m q1q2 > 0

    x2 = 0,3m q1q2 < 0

    ( x2 = 0,3m () ()).

    13. - - q1 q2 - ,

    ()=()= .

    :

    :

    1 2 .

    :

    = 2000 /C 45 1 2.

    8

    22-0220_01-15x22.5.indd 8 12/6/2014 12:32:03

  • 14. .

    :F

    = q=B q=3210-5C

    15. .:

    (1)

    = 45 = 1 (2)

    (3)

    r2 = (AB)2 = 2 (4)

    (3)(4): .

    9

    Q C= 2 10 6

    22-0220_01-15x22.5.indd 9 12/6/2014 12:32:28

  • 16. :

    = 18107/C

    B = 36107/C

    = 17,46107/C

    = 35,28107/C

    ():

    = -

    = 0,54107/C

    ():

    = -

    = 0,72107/C

    :

    = 0,75.

    17. A. : (1)

    : (2)

    . : (3)

    (3) F = 12106 (2) = 1,2m/s2

    (1) : x = 0,6m.

    10

    22-0220_01-15x22.5.indd 10 3/6/2014 1:43:13

  • . :

    k = 7,210-6Joule.

    18. F , F -

    -

    .

    : (1)

    :

    19. :

    U = -0,54Joule

    20. :

    r = 0,4m.

    21. U = -10,810-4Joule.

    22. : V = 6104V.

    23. r = 0,45m.

    24. A. : U = qV U = -2010-6J. . -

    +20106Joule .

    11

    22-0220_01-15x22.5.indd 11 12/6/2014 12:32:50

  • 25. Q1 = +2C Q2 = +18C - d = 16cm.

    A. x . Q1 Q2.

    1=

    2

    x1=0,04m x2=-0,8m

    .

    . VM = V1+V2 (1)

    (2)

    (3)

    (1) (2) (3) : VM=18105V.

    26. A. r1 = 2m:

    r2 = 4m:

    . U1 = qV1 U1 = 910-3J

    . WF = q(V1-V2) WF = 910-3J.

    27. A. : -: U = -28,810-20J.

    . :

    (1)

    12

    22-0220_01-15x22.5.indd 12 3/6/2014 1:43:13

  • Coulomb :

    (2)

    (1) (2) :

    :

    = 14,410-20J.

    . = U+K : = -14,410-20J.

    28. A. :

    :

    VM = 110,52103V.

    .

    V

    = -108103V.

    29. A. :

    .

    13

    22-0220_01-15x22.5.indd 13 3/6/2014 1:43:13

  • 30. :

    = 11105m/s.

    31.A. ,.

    = U = qV

    = +62,5107J

    .

    32. A. .

    . :

    = 2510-6J.

    33. S = 200cm2210-2m2 .

    :

    = 1 :

    C = 3,5410-10F.

    34. :

    = 1mm.

    14

    62,5 10

    22-0220_01-15x22.5.indd 14 12/6/2014 12:35:00

  • 35. A. : : C = 4,4310-10F.

    . : Q = CV Q = 88610-10C.

    37.

    = 160V/m

    38. = 0,2m.

    39. A. . :

    WF = qV = 1810-6Joule

    . - - . , :

    WF = -9V = -1810-6Joule

    15

    36. ( ) C = 210-6F

    Q = CV = 30010-6C

    V = 150V

    E = V/ = 7.500V/m

    ( )

    22-0220_01-15x22.5.indd 15 3/6/2014 1:43:14

  • 40. A. = qV = 3,210-15J.

    . : : .

    41. F=0 F

    = (1)

    (2)

    (1) (2) : q = 6,410-19C.

    42.

    (1)

    (2)

    (1) (2) :

    :

    .

    43. A. :

    Vm

    . VK

    = VK-V V = VK- VK V = -800V.

    44. :

    Vcm

    () VK

    :

    16

    22-0220_01-15x22.5.indd 16 12/6/2014 12:35:57

  • :

    A. :

    W

    = qV

    W

    = 1210-4J.

    . W

    - ( V

    = 0).

    . W

    ( V

    = 0)

    17

    22-0220_01-15x22.5.indd 17 3/6/2014 1:43:15

  • 22-0220_01-15x22.5.indd 18 3/6/2014 1:43:15

  • 1.

    15qq x e x x 3 10e

    = = =

    q 24mA.t

    = =

    2. 4q eI I I e v I 9,28 10 A.t t

    = = = =

    3. ud ( ).

    x s t s h = ud t, V = s h = s ud t.: d

    xn x n V x n s u tV

    = = =

    : dn s u t eq x e I I

    t t t

    = = =

    =

    = =u In s e

    u ms

    u mmsd d d

    1 25 10 12 54, , .

    4.

    5. .

    6. Rs

    =

    (1)

    mm d V m d s sd

    = = =

    (2)

    (1), (2) 2dR R 52,5 .

    m

    = =

    2

    o1

    o 211 2 2 1 2

    o 2 1 22

    o

    VR

    I R2 R 2 R 2 s 2 s s 0, 4mm .

    V R s sR2I

    = = = = = ==

    22-0220_01-15x22.5.indd 19 3/6/2014 1:43:15

  • 7. , : sV V s s s = = =

    (1)

    :

    2R R 4m.R R = = =

    8. =

    (1 + ) 2

    =

    (1 + ) 2 = 1 + = 1

    1

    =

    = 256,4C.

    , . , .

    9.

    10. 1 2R R R R 20 = + =

    V I 5AR

    = =

    1 1 1V I R V 25V= =

    2 2 2V I R V 75V.= =

    11. 1 21 2 1 2

    R R1 1 1 R R 20R R R R R

    = + = =

    +

    V I 6AR

    = =

    1 11

    V 4AR

    = =

    2 22

    V I 2AR

    = = .

    11

    22

    1

    2

    2

    1

    1

    2

    2

    1

    1

    2

    11

    =

    =

    = =+( )+( )

    VRVR

    II

    RR

    II

    RR

    II

    o

    o

    ==++

    = 11

    12480

    2

    1

    1

    grad .

    20

    Rs

    Rs

    RR

    ss

    =

    =

    =

    ( )1

    22-0220_01-15x22.5.indd 20 3/6/2014 1:43:15

  • 12. ) 1 212 121 2

    R RR R 2

    R R

    = = +

    12 3R R R R 6 = + =

    V I 10AR

    = =

    3 3V I R V 40V V 40V = = =

    A 12 A 1 2V I R V 20V V V 20V = = = =

    ( A AV 60 V V 20V = = )

    1 11

    V 20 AR 3 = =

    2 22

    V 10I AR 3 = =

    3 10 . = =

    ) 23 2 3 23R R R R 90= + =

    1 23

    1 23

    R RR R 9

    R R

    = = +

    V I 10AR

    = =

    1 11

    V9A

    R = =

    2 3 2 323

    VI I I 1A

    R = = = =

    1 A 1V V V 90V= =

    A 2 2 A 2V I R V 40V V 40V = = =

    B 3 3 B 3V I R V 50V V 50V = = = .

    13. 12 1 2 1 2R R R / R R 2= + =

    123 12 3R R R 10= + =

    45 4 5R R R 10= + =

    123 45

    123 45

    R RR 5

    R R

    = = +

    21

    22-0220_01-15x22.5.indd 21 3/6/2014 1:43:16

  • V 12AR

    = =

    3123

    VI 6A

    R= =

    3 3 3V R V 48V V 48V = = =

    A 3 12 A 1 2V R V 12V V V 12V = = = =

    1 11

    V4A

    R = =

    2 5 4 545

    VI I I 6A

    R = = = =

    A 4 4 A 4V R V 42V V 42V = = =

    4 5 5V R V 18V V 18V. = = =

    14. 24V 14

    = =

    34V 14

    = =

    1 2 3 1I I I 2A= + =

    1 2 1 1V I R V 4V= =

    123 1 23 123V V V V 8V= + =

    45 123 45V V V 8V= =

    4545 45 A

    45

    VI I 0,5A I 0,5A

    R= = =

    1 45I I I I 2,5A= + =

    123123 x x 123 x x

    V VV V I R IR V V R R 0,8 .

    I

    = = = =

    15. = 10cm

    R R R 50 = =

    ( )R R R 70 = + =

    V 0,28R

    = =

    V 0,2 .R

    = =

    22

    22-0220_01-15x22.5.indd 22 3/6/2014 1:43:16

  • 16. ) 12 1 2 12R R R R 3= + = , 34 3 4 34R R R R 15= + =

    12 1212

    V 10AR

    = =

    34 3434

    V 2AR

    = =

    12 1V I R V 20V V V 20V = = (1)

    B 34 3 B BV I R V 10V V V 10V = = (2)

    ( ) ( ) .2 1 10 20 10 = = V V V VA B AB

    ) R5 .

    : 4 5454 5

    R RR

    R R

    =+

    (3)

    345 3 45R R R= + (4)

    12 1212

    VI I 10AR

    = =

    345 345 345345 3 45 45

    V 30 30I I IR R R 5 R

    = = =+ +

    12 1 AV R V 20V V V 20V = = = (5)

    345 3 B45 45

    30 150V I R V 5 V V5 R 5 R

    = = =+ +

    (6)

    ( ) ( ) A B45 45

    150 1506 , 5 V V 20 0 205 R 5 R

    = = + +

    45 4545

    150 20 50 20 R R 2,55 R

    = = = +

    (3) : 510R .3

    =

    17. ) :

    23

    22-0220_01-15x22.5.indd 23 3/6/2014 1:43:16

  • .

    , 1 1 1 1 1 3 RR R 10

    R R R R R R 3 = + + = = = .

    ) :

    R R RRR R 2

    = =+

    ABR 3RR R R R2 2

    = + = + =

    2

    AB

    AB

    3R 3RRR R 3R2 2R 18 .3R 5RR R 5R2 2

    = = = = =

    + +

    18. .

    : 1

    1 2

    V1A

    R R = =

    +

    : V 0 =

    V V 0 V V V 0V = = =

    B 2 B BV V V 0 V 10 V 10V. = = =

    ( )A B 1 A A AV V I R V 10 1 10 V 10 10 V 0V = = + = =

    B 2V V I R 10 V 1 10 V 10 10 V 20V. = = = =

    19. , R2 , .

    : 1

    V 1AR

    = = .

    , R2 R

    3

    R1. :

    2 323

    2 3

    R RR 10

    R R

    = = +

    24

    22-0220_01-15x22.5.indd 24 3/6/2014 1:43:17

  • 1 23R R R 20 = + =

    V 0,5AR

    = =

    1 1V I R 5V= =

    2 3 23V V I R 5V= = =

    22

    2

    V0,25A

    R = =

    33

    3

    V0,25A

    R = = .

    20. ) R .

    : ABRR4

    = R RA =

    34

    AB1 1 1

    AB

    V 60 240I IRR R4

    = = =

    2 2 260

    34

    2403

    = = =

    VR

    IR

    IR

    AB

    A

    : ARR2

    =

    : A 2 A A240 RV I R V V 40V.3R 2

    = = =

    ) V 0 =

    : RR4

    =

    2

    240 RV I R V V 20V3R 4

    = = =

    V V 20V 0 V 20V V 20V. = = =

    21. R1 R

    4 , R

    14 = 10, R

    2 R

    3 , R

    23 = 10,

    R14

    R23

    , R

    = 5.: 3 3 3 3 3V I R V 2 6 V 12V= = =

    2 3 2 2 2V I R V 2 4 V 8V= = =

    : 2 3V V V V 20V = + =

    : 4 414

    V2A.

    R = =

    25

    22-0220_01-15x22.5.indd 25 3/6/2014 1:43:17

  • 22. .

    : 1 3

    V 2AR R

    = =+

    : c 3V V V I R 2 10 20V = = = = =: cq C V q 400 C.= =

    23. : V7R

    = (1)

    (1)

    A A AV 5VV I 5R V 5R V7R 7

    = = = (2)

    (1)

    1 1 A 1 15Vq C V q C7

    = = (3)

    (1) V 3VV I 3R V 3R V7R 7

    = = = (4)

    (4)

    2 2 2 23Vq C V q C7

    = =

    (5)

    : (3)

    11 2 1 2(5)

    2

    C5V 3V 3q q C C .7 7 C 5

    = = =

    24. R .: 1 1R R R R 2R= + =

    2 2R R RR RR R 2

    = =+

    : 2 2

    1 11

    V VP PR 2R

    = =

    2 2

    2 22

    V 2VP PR R

    = =

    : P2 > P1.

    25. ) : 21 1P I R=

    2

    2 2P I R=

    R1 > R2, P1 > P2.

    ) : 2

    11

    VPR

    =

    2

    22

    VPR

    =

    R1 > R2, 1 < P2.

    26

    22-0220_01-15x22.5.indd 26 12/6/2014 12:37:12

  • 26. 1 2121 2

    R RR 5

    R R

    = = +

    123 12 3R R R 10= + = 123 4

    1234123 4

    R RR 9

    R R

    = = +

    1234 5R R R 20 = + =

    V 9AR

    = =

    5 5V I R 99V= =

    1234 1234V I R 81V= =

    12344

    4

    V0,9A

    R = =

    12343

    123

    V8,1A

    R = =

    3 3 3V I R 40,5V= =

    12 3 12V I R 40,5V= =

    121

    1

    V4,05A

    R = =

    122

    2

    V4,05A

    R = =

    21 1 1Q I R t 9.841,5J= =

    22 2 2Q I R t 9.841,5J= =

    23 3 3Q I R t 19.683J= =

    24 4 4Q I R t 4.374J= =

    Q I R t J5 2 5 5 346= = . .

    27. 280 V t m c

    100 R =

    280 V t d V c100 R

    =

    2 33

    6 3

    80 220 10 4,18t 1 20 10 1 80 t 1727,27s t 0,48h100 10 10 10

    = = =

    27

    22-0220_01-15x22.5.indd 27 3/6/2014 1:43:18

  • 2VP P 4,84KWR

    = =

    W P t W 2,32KWh = =

    , = 2,33KWh 0,1

    KWh = 0,2.

    28. : 1 1 1 1P V I I 6,81A= = : 2 2 2 2P V I I 9,09A= = : 3 3 3 3P V I I 4,54A= = : 4 4 4 4P V I I 2,27A= =

    1 2 3 4I I I I I I 22,71A = + + + =

    , 25.

    : 1 2 3 4P P P P P P 5KW = + + + = .

    W P t W 50KWh = = . = 50KWh0,1/Wh = 5.

    29. ) 1 2R R R R 60 = + = V 2A

    R = =

    : 2 1P I R P 160W = =

    ) 1 3131 3

    R RR 20

    R R

    = = +

    13 2R R R R 40 = + =

    VI I 3AR

    = =

    13 13 13V I R V 60V= =

    131 1

    1

    V1,5A

    R = =

    21 1P I R P 90W = =

    % % % % % , %.( ) = ( ) = ( ) = P PP

    100 90 160160

    43 75

    30. R1 R

    2 , 12 1 2R R R 6= + = .

    R12

    R3 , 12 3123

    12 3

    R RR 3

    R R

    = = +

    .

    R123

    R4 123 4R R R 11 = + = .

    28

    22-0220_01-15x22.5.indd 28 3/6/2014 1:43:18

  • : 23

    3 33

    VP V 12V

    R= = , 33

    3

    VI 2A

    R= =

    12V 12V= , 1212 1212

    V2A

    R = =

    : 4 12 3 4I I I I 4A= + =

    : 24 4 4 4P I R P 128W.= =

    31. :3

    86

    100 10R R 1,8 10 R 180s 10 10

    = = =

    21 1

    10 10P P I R P100 100

    = =

    2 310I 180 720 10 I 20A100

    = =

    11 1 1 1

    PP V I V V 36.000V

    I= = =

    22 2 2 2

    PP V I V V 32.400V

    I= = = .

    32. = 2000W VK = 200V.

    : 2 2K K

    KK

    V VP R R 20

    R P= = =

    K K K K K K KP V I I P / V I 10A= = =

    160V, :2 2V 160P P P 1280W

    R 20= = =

    V 160I I I 8A.R 20

    = = =

    33. = 1000W VK = 100V.

    : KK K K K KK

    PP V I I I 10A

    V= = =

    : K R R RV V 220 100 V 220 V 120V+ = + = =

    : IR = 10A

    : R RRR

    V VI R R 12 .

    R I= = =

    29

    22-0220_01-15x22.5.indd 29 3/6/2014 1:43:19

  • 34. : ()

    = 100W VK()

    = 200V

    : K( )K( )K( )

    PI 0,5A

    V

    = = 2

    ( )

    K( )

    VR 400

    R

    = =

    : ()

    = 24V VK()

    = 12V

    :

    K( )K( )

    K( )

    PI 2A

    V

    = =

    2( )

    K( )

    VR 6

    R

    = =

    :R R R R 406 = + =

    VI I 0,49AR

    = =

    ()

    > I, .

    35. ) :K

    K K K K KK

    PP V I I I 1,5A

    V= = =

    2 2

    KK

    V VP R R 40

    R P

    = = =

    22 2 2

    2

    R R 40 40R R R 20R R 40 40

    = = =

    + +

    12 1 2 12 12R R R R 40 20 R 60 = + = + =

    12

    V 120I I I 2AR 60

    = = =

    2 2 2 2V I R V 2 20 V 40 = = =

    IVR

    I I A

    = = =

    2 4040

    1 .

    V2

    < VK ( < ), .

    ) , V2

    = 60V =

    1,5.

    : 22 2 22

    V 60I I I 1,5A.R 40

    = = =

    : 3 2 3 3 . = + =

    : 2 3 3 3V V V 120 60 V V 60V= + = + = .

    : 3 33 3 33 3

    V VI R R 20 .

    R I= = =

    30

    22-0220_01-15x22.5.indd 30 3/6/2014 1:43:19

  • 36. ( )1 1 11

    I I R rR r

    = = ++ (1)

    ( )2 2 22

    I I R rR r

    = = ++

    (2)

    (1) (2) : 10V= r 1= .

    37. 1 1 1 1 11

    V I R V RR r

    = = +

    (1)

    2 2 2 2 22

    V I R V RR r

    = = +

    (2)

    (1) (2) : 30V= r 2 .=

    38. 1 2

    I I I 2A.R R R r

    = = =+ +

    : c 2 2V V I R 2 3 6V.= = = =: cq C V q 4 F 6V q 24 C.= = =

    39. ) 1 2

    I I I 2A.R R R r

    = = =+ +

    ) V I r V 10V. = =

    ) P I P 24W. = =

    ) 2r rP I r P 4W.= =

    ) P V I P 20W. = =

    ) 21 1 1P I R P 8W.= =2

    2 2 2P I R P 12W.= =

    40. : 24V.= : V I r 20 24 2 r r 2 . = = =

    41. 1 2

    I I I 2A.R R R r

    = = =+ +

    : V 0 =

    31

    22-0220_01-15x22.5.indd 31 12/6/2014 12:37:28

  • A 1 A AV V R V 0 2 17 V 34V = = =

    2 B BV V R 0 V 2 8 V 16V. = = =

    42. 1 1RR R 44

    = =

    2 23RR R 124

    = =

    1 212 12 12

    1 2

    R R 4 12R R R 3R R 4 12

    = = =

    + +

    12R R r R 4 = + =

    I I 1AR

    = =

    V I r V 3V= =

    1 11

    V 0,75AR

    = =

    2 22

    V 0,25A.R

    = =

    43. ) , . , :

    1 1I I r 2 .R r R r= = =

    + +

    ) P I R r r P W = + + ( ) =22 24 .

    ) , :

    2P I P 48W = =: MHx MHx MHxP P P 48 24 P P 24W. = + = + =

    ) :

    ANEM r RP P P P= 2 2

    ANEM 2 2 2P I I r I R=

    ANEMP 32W=

    , :

    % % % % % %.( ) = ( ) = ( ) =PP

    MHx

    ANEM

    100 2432100 75

    32

    22-0220_01-15x22.5.indd 32 3/6/2014 1:43:20

  • 44. ) , . , :

    1 1V I r I 4A= =

    1I r 2 .r r= =

    +

    ) ( )22P I r r P 12W. = + =) , :

    2 2 2V I r I 2A= =

    2P I P 24W = =: MHx MHx MHxP P P 24 12 P P 12W. = + = + =

    ) :

    % % % % % %.( ) = ( ) = ( ) =P

    PMHx

    100 1224100 50

    45. 1,

    2 I

    3 ,

    . Kirchhoff :

    1 2 3 + = (1)

    1 1 1 1 1 3 3I r R I R 0 = (2)2 2 2 2 2 3 3I r R I R 0 = (3)

    (1), (2) (3) :

    1 = 1,

    2 = 0,25

    3 = 0,75

    : A 1 1 2 2 1 1 2 2V R R V V R R = = +

    V 4,5V. =

    46. I1, I

    2 I

    3

    . Kirchhoff :

    I1 = 1,

    2 = 1,

    3 = 2 V

    AB = 12V.

    47. .

    33

    22-0220_01-15x22.5.indd 33 3/6/2014 1:43:20

  • 22-0220_01-15x22.5.indd 34 3/6/2014 1:43:20

  • 1. .;

    : 3x108m/s.., , .

    2.Maxwell;

    : Maxwell, ,.

    3. Planck;

    : .149.

    4. , ,.

    : .152.

    5. , ,.

    : .153.

    6. ,:.,.,.;

    : .

    3 TO

    22-0220_01-15x22.5.indd 35 12/6/2014 12:37:52

  • 7. :.

    3x108m/s..3x108m/s.. , .

    . , .

    : -,-,-,-.

    8.;

    : .

    9. .;

    : .154.

    10. ()()..

    : n=c /c0 ,:0cn

    c = ,c0.

    : ,n n < ,c c< .

    11. ,, . ;.

    ..

    ..,.

    ..

    : -,-.(-,-)

    12. ,, . -

    36

    22-0220_01-15x22.5.indd 36 12/6/2014 12:38:09

  • .

    1,530

    1,520

    1,517

    1,512

    1,525

    1,508

    : ( -1,530), ( -1,525), ( -1,520), ( -1,517),(-1,512),(-1,508).

    13. ;

    : .155.

    14. .;

    : , . . , . .

    15.,...........;

    : .

    37

    22-0220_01-15x22.5.indd 37 12/6/2014 12:38:22

  • 16. ;

    : . 160.

    17. polaroid, , , ( ) , ( , ). polaroid, ;

    : , . polaroid, , .

    18. .

    : . 157.

    19. ;

    : . 158.

    20. ;

    : . 158.

    21. ;

    : . 159.

    22. , , ;

    : , .

    23. ; ; .

    : . , , , , ( ) .

    38

    22-0220_01-15x22.5.indd 38 12/6/2014 12:38:41

  • 24. ; Brewster.

    : . 162.

    25. :. ,. ,. .

    : .

    1. Fizeau 12945m 720 . , 2,982x108m/s.

    : c 2 f N= , 8c 2,982 10 m / sf

    2 N 2 12945m 720

    = =

    f 16Hz=

    2. 600nm:

    () 1,6.

    () , ; 300000km/s.

    :

    () 0c

    cn

    =

    883 10 m / sc 1,875 10 m / s

    1,6

    = =

    () 0n

    =

    600nm 375nm1,6

    = =

    3. 500nm, . , , . 1,333 1,501.

    :

    0n

    = 0

    n

    = . :

    n n = n 500nm 1,333

    n 1,501

    = = 444nm =

    39

    22-0220_01-15x22.5.indd 39 12/6/2014 12:38:53

  • 4. 560nm . , 2,25x108m/s.,;3x108m/s.

    :

    0n

    = 0

    cc

    n = .:

    00

    cc

    = 8

    8

    2,25 10 m / s 560nm3 10 m / s

    =

    420nm =

    5. 0.

    , 440nm 405nm.

    0;

    :

    T,,

    : 0n

    =

    0

    n

    = .

    :nn

    =

    n 405nm 0,92n 440nm

    = =

    6. . . .1,309.

    :

    Brewster: pn = p 1,309, = 52,6 . =

    7. ,,50. , . 90, ,1,333.

    :

    90.:

    p

    nn

    = pn n = n 1,333 50 1,333 1,191 1,585 = = =

    40

    22-0220_01-15x22.5.indd 40 12/6/2014 12:39:12

  • 8. 57 ( ). :() ;() ;

    :

    () , Brewster: pn = n 57= n 1,54.=

    () , 90. 2 p 90 + = 2 33 . =

    41

    22-0220_01-15x22.5.indd 41 3/6/2014 1:43:21

  • 22-0220_01-15x22.5.indd 42 3/6/2014 1:43:21

  • 1. Thomson ;

    : . 178.

    2. Rutherford ;

    : . 178.

    3. , : i. , ii. , 180. :. .. .. .

    : ( - i) (, - ii).

    4. Rutherford .

    : . 179.

    5. Bohr .

    : . 181.

    6. , .

    : . 182.

    7. .

    : . 184.8. :

    . ,

    4

    22-0220_01-15x22.5.indd 43 12/6/2014 12:39:37

  • . ,. . ;

    : . 186.

    9. : . . .

    : . 187.

    10. Bohr ;

    : . 188.

    11. X;

    : . 190-191.

    12. X ;

    : . 191-192.

    13. X.

    : . 192.

    14. X ;

    : . 192-193.

    15. X;

    : . 191.

    16. X;

    : . 193-194.

    17. X;

    : . 194.

    44

    22-0220_01-15x22.5.indd 44 12/6/2014 12:40:07

  • 18. X: . ,. , . ;

    : () .() min =ch/eV ,

    , X.

    () X . .

    19. , :. , . ,. , . .

    : .

    20. , : . ,. , . .

    : .

    21. : . ,. ,.

    .: .

    22. ;.

    ..

    .

    45

    22-0220_01-15x22.5.indd 45 3/6/2014 1:43:22

  • . X .

    : .

    23. ;. . . h,

    ..

    ..

    .

    : .

    24. - .

    1,

    2,

    3

    , . ;. 2 1 3 , = + . 2 3 < . 2 1 3f f f= +

    : .

    25. :. . . . . ,

    .

    : .

    26. X

    1

    2 .

    , :

    . ,. , . .

    : .

    46

    22-0220_01-15x22.5.indd 46 3/6/2014 1:43:22

  • 27. min

    X , : . , . ,. . .

    : .

    :

    Coulomb 9 2 2k 9 10 Nm / C= 19e 1,6 10 C= 31em 9,1 10 kg

    =

    Plank 34h 6,63 10 J s= 8c 3 10 m / s=

    1. . 11r 5,3x10 m.= :. ,.. ,. , .

    :.

    kem r

    =

    .

    19e 1,6 10 C,= 9 2 2k 9 10 Nm / C ,= 31em 9,1 10 kg= 11r 5,3 10 m = : 62,19x10 m / s. =

    . :

    1116

    6

    2 r 2 3,14 5,3 10T s 1,52 10 s2,19 10

    = = =

    . ,

    : 2

    21 eK m k2 2r

    = = , 2eU kr

    = , 2eE K U k

    2r= + =

    k, e, r 191eV 1,6x10 J=: K 13,6eV,= U 27,2eV= E 13,6eV.=

    47

    22-0220_01-15x22.5.indd 47 3/6/2014 1:43:22

  • 2. , , 13,6eV:

    . (n=2) (n=3);

    . 0,85eV. ;

    :

    . n :

    1n 2

    EEn

    =

    1E 13,6eV= n=2 2 213,6E 3,4eV2

    = = .

    n=3 3 213,6E 1,51eV3

    = = .

    () 1n 2EEn

    = 1n

    E 13,6n 4E 0,85

    = = =

    3. , , 13,6eV. . . ; ( .)

    :

    - , - n=2 n=1. - n=1 n=2 n=1 n=3.

    :

    2 1 3 1E E K E E <

    1 11 12 2

    E EE K E2 3

    <

    E1=13,6eV : 10,2eV K < 12,09eV.

    48

    22-0220_01-15x22.5.indd 48 3/6/2014 1:43:22

  • 4. n=4:

    . . . ,

    .

    :

    ().

    5. 13,6eV:. , ;. ,

    (n=2);. , , 15eV

    . , ;

    :() , , :

    ( ). 1E 0 13,6 13,6eV = = =() ,

    n=1 n=2, :

    1. 2 1 12

    EE E 3,4 13,6 10,2eVn

    = = = + =

    () (15eV) , (10,2eV):

    15eV 13,6eV l,4eV = =

    6. 12,3V

    49

    22-0220_01-15x22.5.indd 49 3/6/2014 1:43:22

  • . . 13,6eV.

    :

    . n=1 n :

    1n 1 12

    E En

    = =

    (12,3eV). :

    12,3eV 1 12E E 12,3eVn

    2

    113,6( 1)eV 12,3eVn

    n 3,16 n=1, 2, 3

    n=2 n=3. :

    . n=3 n=2

    . n=3 n=1

    . n=2 n =1

    , :

    E hf= cE h=

    hcE

    =

    3 2 = 3 1 = 2 1 =

    . n=3 n=2:

    . n=3 n=1:

    311 13 12 2

    hc hcE EE E3 1

    = =

    . n=2 n=1:

    50

    211 12 12 2

    hc hcE EE E2 1

    = =

    321 13 22 2

    hc hcE EE E3 2

    = =

    22-0220_01-15x22.5.indd 50 3/6/2014 1:43:23

  • h, c 1 :

    32 = 6,58 . 107m = 658nm

    31 = 1,03 . 107m = 103nm

    21 = 1,22 . 107m = 122nm

    7. X 10kV. X .

    :

    : hceV

    = .

    : = 1,243 . 1010m.

    c f= 18cf 2,41 10 z= =

    .

    8. X () 1V 10kV,= () 2V 40kV.= X 1 2. 1/2.

    :

    X : hc

    eV =

    () () :

    11

    hceV

    = 22

    hceV

    =

    :

    1 2

    2 1

    VV

    =

    1

    2

    4 =

    9. X =10-10m. 40mA 0,1s. :. X; . ; . ;

    51

    22-0220_01-15x22.5.indd 51 12/6/2014 12:40:28

  • . ;

    :

    . (eV), V, (hf). :

    eV hf= hceV =

    hcV 12431Ve

    = =

    . :P VI 497W= =

    E t 49,7J= =. eV.

    2e

    1eV m2

    = 7e

    2eV 6,61 10 m / sm

    = =

    . :

    16q I tN 25 10 / st e

    = = =

    52

    22-0220_01-15x22.5.indd 52 3/6/2014 1:43:23

  • 22-0220_01-15x22.5.indd 53 3/6/2014 1:43:23

  • 22-0220_01-15x22.5.indd 54 3/6/2014 1:43:23

  • 22-0220_01-15x22.5.indd 55 3/6/2014 1:43:23

  • 22-0220_01-15x22.5.indd 56 3/6/2014 1:43:23

  • B

    ISBN 978-960-06-4822-5

    : 0-22-0220

    (01) 000000 0 22 0220 4

    LOW0-22-0220-02-2014 {PHYS B LYK LYSEIS EX-FR}.pdfPage 1

    LOW0-22-0220-02-2014 {PHYS B LYK LYSEIS EX-BK}.pdfPage 1