2ο θέμα γενικών εξετάσεων

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Transcript of 2ο θέμα γενικών εξετάσεων

1. 91,6 MHz 105,8 z. LC :

.

.

. .

.

2. LC, Q (q= Q/2), UB :

. 25%

. 50%

. 75%

.

.

3. m k 1 f1. , f2, 1. 1, f :

. f > f2.

. f < f1.

. f1 < f < f2.

.

4. m . x x = t, . , , F= - m2x.

.

5. (L1C1) (L2C2) . (1) (2) C1 C2 , . 1/2 :

. 2.

. 1/4

. 1/2

.

6. , , :

x1 = 510t x2 = 8(10t + )

. y = 3(10t + ). y = 310t . y = 11(10t + )

.

7. t = 0 o o. t, 1/4 ,

. Eo/16

. Eo/4

. 15Eo/16

.

8. 1 . 1 .

1 1max.

1 2 , .

2max 2, :

.

. .

.

9. , , m d/2, 2 .

( )

( )

( ) m

, d. , :

.

.

.

.

.

10. L, C C1 = C2. .

L1 L2 :

. L1 = L2/2

. L1 = 4 L2. L1 = 2L2

. L1 = L2/4

.

11. m . f = f, f . m , , :

.

. fo/2

. 2 fo

. .

.

.

. .

. .

. .

.

12. LC R f1. 1. f1, . f1 .

, ;

. .

. .

. 1.

.

13. L1C1 L2C2 L1 L2 = 4L1 .

. 1 = 22 . 1 = 42 . 1 = 2/2

.

14. .

. . . .

. .

.

15. (LA, C) (LB, C) . C.

. LA, LB

. LA =4 LB.

. LB =4 LA.

. LA =2 LB.

.

16. t.

. ; . ;

. ; 17. , D D , D > D. ;

. . .

.

18. , x1 = t x2 = 2At.

, :

.

. 3

. 2

.

19. Io k m, .

. ;

.

. , .

20. LC , . , ;

.

.

.

.

21. , . d , . , ,max/,max ;

. 1/2

. 1. 2

.

22. 1 2 k1 k2 , k1 = k2/2. 1 2 x 2x , . :.

. 1 . 2 .

23. . . = 4.

.

24. LC 1 2 .

C1 Q1. T to = 0 1 , LC1 . t1 = 5T/4 , LC1, o 1 2. Q2 C2, C2 = 4C1, LC2

) Q1

) Q1/2 ) 2Q1

.

25. q = Q/3, q Q , UE/UB :

. 1/8

. 1/3

. 3 .

26. , . : x1 = 0,2(998t), x2 = 0,2(1002t) ( S.I.). () :

. 2 s

. 1s

. 0,5 s

.

27. . max max. x, , , , :.

.

.

.

28. m. . ,

.

.

. .

.

29. 10Hz. 10Hz 20Hz,

.

.

.

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30. LC. , . /4. .

.

.

. 0

.

31. , . .

. .

. .

. .

.

32. LC .

. .

. .

. .

.

33. f . 2. 2f , . 2

. 4

.

.

34. k, ( ). . m. . :

.

.

.

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35. . 1 m1 2 m2. 1 m2, 2 m1 (m1 m2), .

. 1 2 . 1 1 2 2, :

.

.

.

.

36. 1 2 m 2m k k/2, , .

.

A1 1

. o

. o

. o

2 2 .

37. .

to = 0 . t1 = 5T/8 . Imax,1 L1C Imax,2 L2C, :

. ,

. ,

. .

L1 = L2

.

1. :

= 752( 12.1010t 4.104x )

. S.I. ( c = 3.108 m/s) .

2. nA nB, nB < nA.

A. N .

. ;

. ,

. .

.

3. xx K 1 2 . y = At. () 6cm. 4cm. xx, ,

. A = 2

. = 0

. 0 < < 2

.

4. :

. = 75 2 (12.1010 t 4.104 x)

= 25.10-8 2 (12.1010 t 4.104 x) (S.I.)

. = 300 2 (6.1010 t 2.102 x)

= 100.10-8 2 (6.1010 t 2.102 x) (S.I.)

. = 150 2 (9.1010 t 3.102 x)

= 50.10-8 2 (9.1010 t + 3.102 x) (S.I.)

; c = 3.108 m/s .

.

1. 1 2, , f . 2. .

. 2 . . 0

.

5. .

. .

. .

. .

.

6. n : = 100 2(121012 t 6104 x) ( S.I.).

c = 3.108 m/s m/s, o :

. 1,2

. 1,5

. 2

.

7. :, x, y cm t s. :

. 2 cm

. 4 cm

. 8 cm

.

8. y = A t . x. , xA, xB A, B. ;

. A < B

. A > B .

9. f1. , . , , f2, , 7 . f2 :

.

.

.

.

10. , . , . :

.

.

.

.

.

11. . r1 r2 :

.

.

.

= 0, 1, 2, , .

.

12. (1), (2) (3), n1, n2 n3 . ;

. n3 > n2 > n1

. n3 = n2 > n1

. n1 > n2 > n3

.

13. (1) (2) = 4 cm. r1 = 17 cm (1) r2 = 9 cm (2).

. 0

.

. 2

.

14. 1 1. 2 (2 1).

. 2 = 1 (2/ 1). 2 = 1 (1/ 2)

. 2 = 1 .

15. 1 2 4 Hz, 20 cm/s. r1 = 17cm r2 = 12 cm . .

. 2.

. .

.

16. n n . n = 2n,

. = /2. = 2. = 4 .

17. . c ( c), crit .

. .

.

18. , = . n = :

. .

. .

. .

.

19. , , . .

. ,

.

. .

.

20. S.I. = 30 2(6.1010 t 2.102 x). S.I. =10-7 2(6.1010 t 2.102 x).

: c = 3.108 m/s.

.

21. 45. :

. 45. 45. 45

22. (1), (2), (3), n1, n2, n3 , .

2 > 1, :

. n1 = n3

. n1 < n3 . n1 > n3

23. , n, n , n > n. . . .

. .

. .

.

24.

= 3102 2(81011t 4103x) (S.I.)

B = 10-6 2(81011t 4103x) (S.I.)

. (/) .

. / .

. / .

c = 3108 m/s.

25. 30. , .. < c/2

. = c /2

. > c/2

26. M 60o , .

. .

. .

. .

: n = 4/3 , n =1, 50 = 0,75 60 = 0,87

27. , .

, , . , OB/OA:

. ,

. ,

. .

1. , 24 .

2. . , .

3. () () , . . F . () . () .

() t , () t, :

. t > t . t = t . t < t

.

4. , . . , :

.

. .

.

5. , . . :

. .

. .

. .

.

6. . :

. .

. .

. .

.

7. R cm.

H R/2

. 3cm /2

. 2cm /3

. 5cm /2

.

8. . . . :

. . . .

9. x y. .

, , , > , y x,y

. . .

.

10. () (), .

, .

. I = II. I < II. I > II

.

11. , (L1) (L2), , L1/L2 = , . 1/2 :

. 6

. 12

. 24

.

12. , , , .

, ;

. > . <

. =

.

13. m R . cm. Icm = (2/5) mR2.

.

.

.

.

14. .

. .

. .

. .

.

15. R1, R2 R1 > R2 , . w , ;

.

. .

.

16. 1 2 R 2R, 3 , .

1 2,

. 3/2

. 1/2

. 1

.

17. F1 F2 , ,

. .. .. . .

18. . .

. .

. .

. .

.

19. , , R, R R > R.

.

;

.

20. AB () . 1, 2 m .

. 1.

. 2.

. .

.

21. R () f . O .

. f.

. f.

. f.

.

.

22. . . . :

.

.

.

23. , , . (), :

.

.

.

24. , , . , 5/2 . , , :

. 1

. 5/2 . 2/5

25. , m1 m2, d2 d1. zz.

m1 zz

.

.

.

m2 .

26. , (t=0) , , .

K ;

27. . .

F, ,1 , w = F ,2. :

. ,1 = ,2

. ,1 > ,2 . ,1 < ,2

Doppler

1. mA mB. :

. mA = mB

. mA < mB

. mA < mB .

2. m, , 4m. , . , :

.

.

.

.

3. 1 2, 1, . 1 2

. 50%

. 100%

. 75%.

.

4. m m, , . , .

m mB :

. mA/mB = 3/5

. mA/mB = 1/2. mA/mB = 2/3. mA/mB = 3/2 .

5. S = /10, . . , f1, , f2. f1/f2 :

. 9/11. 11/10

. 11/9 .

6. m .

. 2.

. /2.

. /3.

.

7. m1 1 m2, . m1 1/5 . . m2/m1 = 3/2. m2/m1 = 2/3

. m2/m1 = 1/3 .

8. m 1. 2 2 < 1.

:

.

. .

;

.

9. m 2m, , . ,

. 1/2

. 2

. 1

.

10. US , 1 2 . . 1 2

. 2. 1. 3 .

.

11. m1 m2 . 1 m1 2 m2 ,

. . .

.

.

12. , 3m m , . . ;

. /2

. /2

. /4 .

.

13. . m = 100 m/s . V = 2 m/s, /m :

. 50. 1/25 . 49

.

.

14. m 1 . , , .

.

15. A . , .

16. m1 m2. . m1/m2 :

. 1

. 1/3

. 1/2

.

17. . , , fs /10, fs . , / :

. 10

. 1/10. 1/20

.

18. S . , .

,

. .

. .

. .

.

19. S S . . , 1 2 . :

.

.

.

.

20. . m, , . . 1/3 , :

.

.

.

.

21. mA mB = 2mA. , :.

.

.

.

22. 1 m 2 2m.

1 . .

.

.

.

23. S fs. u , - , f1. , u, S, - , f2. :

. f1 > f2 . f1 = f2 . f1 < f2

24. . .

f1 f2. :

. f1 < f2. f1 = f2. f1 > f2

25. m1 = 2 kg m2 = 3 kg 1 = 4 m/s 2 = 2 m/s ( )) . :. 5 J. 10 J. 20 J

26. . . 30% , . ,

. 2/17

. 3/17

. 4/17

27. f. , . f1, f2 . f :

.

.

.

28. , m1 m2, . 4 m1, .

, /3. :

.

.

.

29. S , .

S S=2 fS

. fS

. fS. fS

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