Fizika 2 TF_pitanja

Name: __________________________ Date: ____________

1.

Nivo buke kompresora je 130 db. Intenzitet zvuka koji proizvodi kompresor je ( u W/m2)

A)

10

B)

1.0

C)

13

D)

2.

Jedna osoba pjevajui stavara nivo buke od 60 dB. Odrediti nivo buke u dB koju stvara osam jednakih pjevaa

A)

60

B)

79

C)

69

D)

149

3.

Sinusni val opisan je jednadbom . Sve su veliine izraene u SI jedinicama. Koja je od sljedeih tvrdnji vezanih za ovaj val pogrena:

A)Val se kree u smjeru x- ose b)Amplituda vala je 10m c) Frekvencija vala je 10Hz

d)valna duljina ovog vala je 5m e) Brzina irenja vala je 100 m/s

A)

Amplituda vala je 10.m

B)

Frekvencija vala je 10Hz

C)

Valna duljina vala je 5m

D)

Brzina irenja vala je 100m/s

4.

Koja od slijedeih tvrdnji vezanih za indeks loma svjetlosti je tana

A)

Indeks loma moe biti manji od 1.

B)

Mjeri se u nanometrima

C)

Ne ovisi o frekvenciji upadne svjetlosti

D)

Uvijek je vei ili jednak 1.

5.

Brzina svjetlosti u sredini A je 2. puta vea nego u sredini B. Odnos indeksa loma na/nb ovih sredina

A)

1. nA/nB=? Va=2vb n=c/v nA/nB=vB/vA=va/2vb=1/2 = 0,5

B)

2.

C)

0.5

D)

1.5

6.

Svjetlost pada iz zraka na povrinu vode pod kutom od 600. Indeks loma vode je 1.33. Brzina svjetlosti u vodi priblino je:

A)

1.54x108m/s

B)

2.86x108m/s n1=1 =60n2=1,33 v2=? C=3*108 n2=c/v2 =>v2= c/n2

C)

2.26x108m/s v2=2,25

D)

3.99x108m/s

7.

Svjetlost pada iz zraka na povrinu vode pod kutom od 600. Indeks loma vode je 1.33. Kut loma svjetlosti uzraen u stepenima priblino je:

A)

0.37

B)

22 n1=1 =60 n2=1,33 =?

C)

41 n1sin=n2sin sin=n1sin/n2 = 0,65= 40,54

D)

30

8.

Objekt je udaljen 6.0cm od sabirne lee ine duljine 12.0cm. Koja je od sljedeih tvrdnji vezanih za lik predmeta tana?

A)

Lik je virtuelan i 6.0 cm udaljen od lee p=6cm f=12cm l=?

B)

Lik je virtuelan i udaljen 12.0cm od lee 1/f=1/p+1/L 1/L=1/f-1/p L=f*p/p-f L=-12 cm

C)

Lik je realan i 3.0cm udaljen od lee

D)


9.

0Imamo rasipnu leu ine duljine -10.0cm. Ispred nje na udaljenosti 25.0cm postavljen je predmet visine 3.0 cm. Odrediti priblino uveanje lee.

A)

0.29 f= 10cm p=25cm P=3cm U=? U=L/p

B)

0.72 1/f=1/p+1/L L=f*p/p-l L=-7,14 U= -0,28

C)

-0.29

D)

-0.72

10.

Pojam koherentnost dva vala odnosi se na:

A)

Razliku faza izmeu dva vala

B)

Polarizaciju dva vala

C)

Amplitude dva vala

D)

Frekvencije dva vala

11.

Kojem od slijedeih valnih pojava ne moemo pridruiti foton?

A)

Gama zrak

B)

Infra crvene zrake

C)

Radio valovi

D)

Zvuk

12.

Izlazni rad za zlato je 4.8eV. Minimalna frekvencija fotona koji izaziva fotoelektrini

efekt na zlatu je:

A)

7.24x1014 Hz Ai=4,8eV =4,8*1,6*10-19J= 7,69*10-19J fo=?

B)

1.16x1015 Hz Ai=h*fo => fo= Ai/h fo= 1,16*1015Hz

C)

3.84x1017 Hz

D)

6.47x1015 Hz

13.

Foton energije 5.0eV udara u povrinu metala iji je izlazni rad 3.5 eV. Kinetika energija fotoelektrona je:

A)

1.5eV ili manjaE= 5eV Ai= 3,5eV Ek=?

B)

1.5 eV ili vea hf=Ai+ Ek Ek=Hf-Ai= 1,5 eV

C)

3.5eV ili vea

D)

3.5 eV ili manja

14.

De Broglieova valna duljina neutrona (m=1.67x10-27kg) koji se kree brzinom od 10.0m/s, izraena u nm, priblino je:

A)

39.5 m=1.67x10-27kg V=10 m/s lambda = ? lambda=h/mv

B)

79 lambda= 0,397*10-7 =39,7nm

C)

162

D)

1975

15.

Priblian poluprenik jezgre ugljika koja sadri 6 protona i 6 neutrona je:

A)

1.2x10-15m

B)

2.2x10-15m R=Ro *treci korijen A Ro=1,2*10-15

C)

2.7x10-15m R=2,74

D)

12x10-15m

16.

Dovriti sljedeu tvrdnju: estina priroda svjetlosti neophodna je da bi se objasnila pojava:

A)

polarizacije svjetlosti

B)

fotoelektrinog efekta

C)

difrakcije svjetlosti

D)

difrakcije elektrona

E)

Interferencije svjetlosti

17.

Proton ima masu mp=1.00728u a neutron mn=1.00867u. Koristei te informacije priblino odrediti energiju vezanja 23290Th po nukleonu ( u jedinicama MeV) ija je atomska masa 232.038054u

A)

6.5

B)

7.4

C)

8.7

D)

9.8

18.

Jezgra nekog izotopa sadri 68 neutrona i 60 protona. Koji simbol predstavlja taj izotop?

A)

B)

C)

D)

E)

19.

D' Broglieova valna duljina elektrona kinetike energije 5000eV je: (m = 9.11 1031 kg)( 1 eV=) Ek=5000eV =5*103*1,6-19J= 8*10-16J lambda = ?

A)

0.007 nm m = 9.11 1031 kg lambda=h/mv Ek=mv2/2=> v=2Ek/m=41,9*106

B)

0.014 nm V se racuna iz korijena

C)

0.017 nm lambda= 0,0113nm

D)

0.028 nm

E)

0.034 nm

20.

Koji par simbola predstavlja izotope?

A)

B)

izotopi- isti atomski broj(Z) a razlicit maseni br (A)

C)

D)

E)

21.

Elektron se kree prema jugu i ulazi u magnetsko polje koje ima smijer prema zapadu. Elektron skree:

A)

prema istoku

B)

prema zapadu

C)

prema dolje

D)

prema gore

E)

prema jugu

22.

Energija fotona ovisi o:

A)

masi

B)

amplitudi

C)

polarizaciji

D)

frekvenciji

E)

polarizaciji

23.

Svjetlost talasne duine 700 nm prolazi kroz dvije rupice u Youngovom eksperimentu.Razmak izmeu rupica je. Kolika je priblina udaljenost prve svijetle pruge od centralnog maksimuma ako je udaljenost zastora od rupica 7m?

Lambda=700nm d=1,96 a=7 lambda= s*d/a s=lambda*a/d

24.

Sinusni val opisan je jednadbom . Sve su veliine izraene u SI jedinicama. Koja je od sljedeih tvrdnji vezanih za ovaj val pogrena:

A)

Amplituda vala je 10.m

B)

Frekvencija vala je 10Hz

C)

Valna duljina vala je 5m

D)

Brzina irenja vala je 100m/s

25.

Koja od sljedeih tvrdnji vezanih za indeks loma svjetlosti je tana

A)

Indeks loma moe biti manji od 1.

B)

Mjeri se u nanometrima

C)

Ne ovisi o frekvenciji upadne svjetlosti

D)

Uvijek je vei ili jednak 1.

26.

Brzina svjetlosti u sredini A je 3.33 puta vea nego u sredini B. Odnos indeksa loma na/nb ovih sredina priblino je

A)

0.3 Va= 3,33Vb nA/nB=Vb/Va=1/3,33=0,3

B)

3.3

C)

6.6

D)

1.5

27.

Svjetlost pada iz zraka na povrinu stakla pod kutom od 600. Indeks loma vode je 1.80. Brzina svjetlosti u vodi priblino je:

A)

1.66x108m/s

B)

2.86x108m/s V2=c/n2 c=3-108m/s

C)

2.26x108m/s

D)

3.99x108m/s

28.

Objekt je udaljen 4.0cm od sabirne lee ine duljine 6.0cm. Koja je od sljedeih tvrdnji vezanih za lik predmeta tana?

A)

Lik je virtuelan i 6.0 cm udaljen od lee

B)

Lik je virtuelan i udaljen 12.0cm od lee

C)


D)


29.

0Imamo rasipnu leu ine duljine -10.0cm. Ispred nje na udaljenosti 25.0cm postavljen je predmet visine 3.0 cm. Odrediti priblino uveanje lee.

A)

0.29

B)

0.17 U=l/p=l/P 1/f=1/p+1/L L=f*p/p-f

C)

-0.29

D)

-0.17

30.

Izlazni rad za neki metal je 3.0eV. Minimalna frekvencija fotona koji izaziva fotoelektrini

efekt na zlatu priblino je:

A)

7.25x1014 Hz Ai=h*fo fo=Ai7h

B)

1.16x1015 Hz

C)

3.84x1017 Hz

D)

7.73x1014 Hz

31.

Foton energije 5.0eV udara u povrinu metala iji je izlazni rad 4.0 eV. Kinetika energija fotoelektrona je:

A)

1.5eV ili manja Ek= f - Ai Ek=1

B)

1.5 eV ili vea

C)

1.0eV ili vea

D)

3.5 eV ili manja

32.

Deset beba u porodilitu stvara nivo buke od 90 dB. Koliki nivo buke stvara jedna beba? L10=90dB L1=? L10=10logL10/Io

A)

80 dB

B)

70 dB

C)

85dB

D)

65 dB

E)

Niti jedan od ponuenih odgovora

33.

Sirena policijskog auta stvara ton frekvencije 15000 Hz. Auto se pribliava promatrau brzinom od 20 m/s. Ako je brzina zvuka u zraku 343 m/s, frekvencija zvuka sirene koju prima promatra priblino je:

A)

15930 Hz

B)

16430 Hz f=? F= fo* c/c-vi

C)

14930 Hz

D)

15000 Hz

E)

Niti jedan od ponuenih odgovora

34.

Proton mase kree se okomito na magnetsko polje indukcije 0.1 T brzinom od . Poluprenik krune putanje protona priblino je:

A)

6.6 cm

B)

12.4 cm r= m*v/q*B B=0,1T q=1,6*10-19

C)

8.0 cm

D)

10.4 cm

E)

niti jedan od ponuenih odgovora

35.

Brzina elektrona koje izbija svjetlost frekvencije 6,8 1014 Hz iz nekog metala je . Koliko iznosi izlazni rad elektrona za taj metal?

f= 6,8*1014Hz v=4*105m/s m=9,11*10-31 Ai=?

Hf= Ai+Ek Ai=hf-Ek = hf-mv2/ 2

Ai=2,6eV

36.

Ako je f frekvencija, v brzina, T period sinusoidalnog progresivnog talasa, kruna frekvencija talasa je:

A)

1/T W=2pi f=2pi/T = 6,28/T

B)

6,28/T

C)

T/2

D)

T/f

37.

Izvor koji miruje na povrini jezera proizvodi talase koji se od njega udaljavaju brzinom od 5,0 m/s, a rastojanje izmeu dva susjedna brijega na vodi je 1,0 m. Osoba u motornom amcu koji ide prema izvoru brzinom od 3,0 m/s e registrovati talase frekvencije:

A)

2,0 Hz

B)

4,0 Hz v1=0 lambda=1m vp=3m c=5m/s v=lambda*f

C)

8,0 Hz c-v=lambda*f f=c-v/lambda

38.

Formula za registrovanu frekevenvciju za Doplerov efekat je:. Ako se izvor kree brzinom 5 m/s od posmatraa, a posmatra se kree brzinom 7 m/s prema izvoru. Vrijednosti i predznaci koje treba izeti u izraz su:

A)

vp = +7 m/s i vi =- 5 m/s

B)

vp = -7m/s i vi = -5 m/s

C)

vp = +7 m/s i vi = +5 m/s

D)

vp = -7 m/s i vi = +5 m/s

39.

Talas je opisan izrazom:

y = 0.005 sin( 2ft-10x) Ako se talas iri brzinom 20 m/s, njegova frekvencija priblino je:

A)

0.64 Hz

B)

31.8 Hz

C)

63.7 Hz

40.

Osoba pria u prostoriji i izmjereni nivo buke iznosi 60 dB. Ako 28 osoba pria u isto vrijeme, koliki je priblino nivo buke?

A)

60 dB L1= 60dB n=28 L28=? L1=10log I1/Io I1=10-6 I28= 28*10-6

B)

79 dB L28=10log I28/Io

C)

74 dB

D)

71 dB

41.

Predmet se nalazi na rastojanju 6 cm od optikog centra tankog soiva. Lik predmeta se formira na rastojanju koje je tri puta vee od ine daljine. Optika jaina soiva je:

A)

25 D L=3f I=? P=3cm izracunat f f=2p/3 I=1/f

B)

15 D

C)

2,5 D

42.

Udaljenost izmeu susjednih otvora difrakcione reetke iznosi 5. Ugao difrakcionog otklona zraka prvog reda je:

A)

sin(/2) = 1/5

B)

sin() = 1/5 d=5 lambda k=1 dsin teta = k*lambda

C)

tan(/2) = 5 sinteta = k*lambda/d

43.

Ako je nvode = 1.33, koliki je ugao prelamanja za prikazani zrak koji prelazi iz vode u vazduh?

A)

48

B)

22 n1sin = n2sin sin= nisin/n2

C)

42

44.

Indeks prelamanja nekog materijala:

A)

je brzina svjetlosti u materijalu

B)

je odnos brzine svjetlostu u materijalu i vakumu

C)

je odnos brzine svjetlostu u vakumu i materijalu

45.

Ako je masa jezgra mj, koje se sastoji od Z protona mase mp i N neutrona mase mn, njegova energija veze je:

A)

mc2

B)

(mj Zmp Nmn)c2

C)

(Zmp + Nmn mj)c2

D)

(Zmp + Nmn)c2

46.

Od neke koliine istog radioaktivnog izotopa bakra 29Cu66, 7/9 se raspadne za 15 minuta. Vrijeme poluraspada je priblino :

A)

5 minuta

B)

18 minuta

C)

7 minuta

47.

Broj neutrona u jezgru urana 92U235 je:

A)

82

B)

143 N= A-Z= 143

C)

146

48.

Talasna duina X-zraka prije Comptonovog rasijanja je 0.400 nm. Odrediti talasnu duinu rasijanih X-zraka, koji su se rasprili pod uglom od 90.

A)

0.401 nm

lambda1=0,400nm Q=90 Dlambda=mc/h * (1-sinQ)

B)

0.411 nm Dlambda= mc/h

C)

0.420 nm lambda2-lambda1=mc/h lambda2=mc/h+lambda1

Lambda2=0,401 nm

49.

Jezgra nekog elementa sastoji se iz 92 protona i 143 neutrona. Kolika je priblina vrijednost poluprenika jezgre ovog elementa?

R=ro* treci korijen iz A A= 92+143

50.

Svjetlost dolazi iz vode ( n=1.33) na granicu voda-zrak pod kutom od .

A)

Svjetlost prolazi u zrak i zaklapa kut od sa normalom

B)

Dolazi do totalne refleksije

C)

Svjetlost se djelimino reflektira a djelimino prolazi u zrak

51.

Aktivnost 1 g ugljika u ivom organizmu je 0.23 Bq. Kolika je priblina starost fosila u kojem 1 g ugljika ima aktivnost 0.07 Bq? T=T(lnA/Ao)/0,693

Vrijeme poluraspada ugljika je 5730 god.

52.

Elektron se kree u horizontalnoj ravnini u smijeru zapad-istok i ulazi u magnetsko polje koje ima smijer jug-sjever.

Koja je od sljedeih tvrdnji tana:

A)

elektron skree vertikalno prema gore

B)

elektron skrea vertikalno prema dolje

C)

niti jedan od dva ponuena odgovora ije taan

53.

Linearni koeficijent termikog irenja elika je 11106 1/C. elina lopta ima zapreminu 100 cm3 na 0C. Kada se zagrije do 100C, njena zapremina iznosi:

A)

100.33 cm3

B)

100.0011 cm3 v=Vo*(1+3t)

C)

100.0033 cm3

54.

Sistemu koji sadri idealni plin pri konstantnoj temperaturi se dovodi odreena koliina topline. Koja je od sljedeih tvrdnji tana?

A)

Sistem vri rad i njegova se unutranja energija smanjuje

B)

Sva se toplina pretvara u unutranju energiju i ona se poveava

C)

Izvreni rad jednak je nuli

D)

Sva se dovedena toplina pretvori u rad

55.

Koeficijent korisnog djelovanja Carnotove masine je 0.2. Ona u jednom ciklusu preda hladnjaku toplinu od 100J. Koliko se topline ulou u jedno ciklusu?

A)

125 J

B)

20 J q2= q1/1-ni

C)

80 J

D)

Niti jedan od ponuenih odgovora nije taan

56.

Pri izotemnoj kompresiji na temperaturi od 300 K nad sistemom koji sadri jedan mol idealnog plina izvren je rad od -1247.1 J. Priblino koliko puta se smanjio volumen plina u sistemu? Opa plinska konstanta ima vrijednost R=8.314 J/(K mol)

A)

1.65 A=nrt+ ln v2/v1

B)

2.65

C)

Niti jedan od ponuenih odgovora ne odgovara opisanoj situaciji

D)

0.25

57.

Koja je od navedenih tvrdnji tana? Pri adijabatskoj kompresiji sistema koji sadri idealan plin :

A)

ne dolazi do promjene temperature sistema

B)

sistem ne vri rad

C)

dolazi do adijabatskog hlaenja plina

D)

sistem ne izmjenjuje toplinu sa okolinom

58.

Kod prostih harmonijskih oscilacija sila je proporcionalna:

A)

brzini

B)

pomjeraju

C)

kvadratu pomjeranja

59.

Poloaj harmonijskog oscilatora je dat izrazom . Frekevencija oscilovanja je:

A)

0.17 s

B)

1.5 s

C)

6.0 s

60.

Pri izohornom procesu neke koliine idealnog plina

A)

Temperatura pada i toplina se dovodi sistemu

B)

Temperatura raste toplina se dovodi sistemu

C)

Odgovor ovisi o tome raste li pritisak ili se smanjuje

61.

Pri adijabatskom procesu odreene koliine plina

A)

Pritisak ostaje konstantan

B)

Unutranja energija se ne mijenja

C)

Nema razmjene topline sa okolinom

62.

Pri izotermnem procesu neke koliine idealnog plina

A)

Rad koji se vri nad sistemom jednak je nuli

B)

Unutranja energija plina se ne mijenja

C)

Toplina razmijenjena sa okolinom jednaka je promjeni unutranje energije

63.

Za koliko puta se povea snaga termikog zraenja apsolitno crnog tijela kada mu se temperatura povea za deset posto?

A)

1.46 L2/l1= sigma *T24/sigma*T14

B)

2.41

C)

3.00

D)

1.10

64.

Aluminijski rezervoar () volumena do vrha je napunjen benzinom na nula stepeni Celsiusovih ( ). Kada se cisterna i benzin zagriju na , iscurit e koliina benzina od

A)

220 litara

B)

250 litara

C)

275 litara

D)

320 litara

65.

Oznaiti istinitu tvrdnju. Pri izotermnoj ekspanziji plina

A)

toplina se dovodi sistemu

B)

toplina se odvodi iz sistema

C)

unutrnja energija se poveava

D)

unutranja energija sistema se smanjuje

66.

Oznaiti tane trdnje Pri izotermnoje ekspanziji plina

A)

temperatura raste, rad pozitivan unutranja energija raste

B)

temperatura raste, rad pozitivan, unutranja energija pada

C)

ne dolazi do izmjene topline sa okolinom

D)

ne dolazi do promjene unutranje energije plina

67.

Kada se jednom molu idealnog plina pri konstantnoj temperaturi od 400 K volumen povea 10 puta, izvreni rad jednak je

A)

7657 J A= nrt ln v2/v1

B)

8345 J

C)

6543 J

D)

6013 J

68.

Pri adijabatskoj ekspanziji jednog mola idealnog plina, pri emu se temperatura promijenila za -50 K, izvri se rad _____________________.

69.

Intenzitet zvuka iznosi I = 5.10-5 W/m2. Nivo intenziteta u tom sluaju je:

A)

70 dB

B)

72 W/m2

C)

82 W/m

D)

77 dB

E)

87dB

70.

Sinusoidalni val opisan je jednadbom sve veliine su u SI sistemu. Amplituda , frekvencija i valna duljina vala su:

A)

A=3m, f=30Hz,

B)

A=3m, f=30Hz,

C)

A=3m, f=15Hz,

D)

A=3m, f=60Hz,

E)

A=6m, f=30Hz,

71.

Dva zvuka razlikuju se po nivou jaine za L = 35 dB. Odnos intenziteta ova dva zvuka iznosi:

A)

104

B)

deltaL= 35dB

C)

2.5.104

D)

2.103

E)

72.

Na udaljenosti od 1 m. od izvora nivo intenziteta zvuka je 60 dB. Koliki je nivo intenziteta zvuka u taki koja je od izvora udaljena 5 m?

A)

46 dB L1=60dB r1=1m r2=5m L2=? L1=10logI1/Io

B)

52 dB L2=10log I2/Io I=p/s I2=p/s2 s2=r22 P=I1*s1

C)

15dB

D)

42 dB

E)

Niti jedan od ponudjenih odgovora

73.

Val prolazi okomito kroz povrinu od 1. Energija koju val prenese kroz tu povrinu

za t=10s iznosi 2.0 J. Intenzitet vala ( u W/ )iznosi

A)

0.2

B)

2.0 P=E/S*T

C)

0.4

D)

20.0

E)

Niti jedno od ponuenog

74.

Formula za Dopplerov efekt glasi: . Promatra i izvor se udaljavaju jedan od drugog svaki brzinom od 5 m/s. Brzina zvuka je 340 m/. Ako izvor emitira ton frekvencije od 1000 Hz, promatra uje ton od ( priblino)

A)

1030 Hz

B)

970 Hz

C)

1130 Hz

D)

990 Hz

E)


75.

Koliina toplote:

A)

Predstavlja mjeru ukupne energije sistema

B)

U optem sluaju ne zavisi od promjene temperature sistema

C)

Ne zavisi od mase sistema (tijela)

D)

Je mjera razmjene usmjerenog kretanja estica sistema

E)

Predstavlja kvantitativnu mjeru toplotne interakcije sistema i okoline

76.

Prilikom sterilizacije hirurki scalpel dostigne temperature od t1 = 150 0C. Ako je skalpel od elika mase m = 100 g, specifinog toplotnog kapaciteta c = 0,46 J/g K, koliina toplote koja se oslobodi pri njegovom hlaenju na temperaturu t2 = 30 0C ima vrijednost:

Q=mc(T-T)

77.

Nivo buke koju stvara hor od 20 pjevaa je 90dB. Koliku buku ( u dB)pjevanjem stvara jedan pjeva?

A)

77

B)

67

C)

70

D)

80

E)

Niti jedno. Moja vrijednost je______________

78.

Prijemnik se pribliava u vazduhu nepominom izvoru zvunih talasa brzinom v = 20 m/s koji emituje zvune talase frekvencije f = 1 kHz i brzine c = 340 m/s. Prijemnik registruje frekvenciju f' priblino jednaku:

a)

b)

c)

d) 1100 1/s

e) ni jedna od navedenih vrijednosti nije tana

A)

1060 Hz

B)

1 kHz

C)

1100 Hz

D)

1100 1/s

E)

ni jedna od navedenih vrijednosti nije tana

79.

Val je opisan jednadbom , gdje su sve veliine u SI sistemu jedinica. Frekvencija vala je __________, njegova valna duljina ________,

amplituda ________ i kree se brzinom __________ .

80.

Tijelo zadane mase privreno je na elastinu oprugu zadane konstante krutosti vrei prosto harmonijsko kretanje. Koliko se priblino puta promijeni period osciliranja ako se masa tijela utrostrui?

A)

1,41

B)

2

C)

1.73

D)

E)

niti jedan od ponuenih odgovora

81.

Val je opisan jednadbom , gdje su sve veliine u SI sistemu jedinica. Frekvencija vala je __________, njegova valna duljina ________,

amplituda ________ i kree se brzinom __________ .

82.

Oznate netanu tvrdnju. Intenzitet zvunih talasa:

A)

direktno je stazmjeran kvadratu njihove frekvencije

B)

zavisi od akustikog otpora sredine

C)

ne zavisi od amplitude osciliranja estica sredine

D)

direktno je srazmjeran brzini njihovih prostiranja

E)

zavisi od prirode sredine u koj se prostiru

83.

Na udaljenosti od 1 m. od izvora nivo intenziteta zvuka je 60 dB. Koliki je nivo intenziteta zvuka u taki koja je od izvora udaljena 4 m?

A)

48 dB

B)

58 dB

C)

15dB

D)

72 dB

E)

Niti jedan od ponudjenih odgovora

84.

Formula za Dopplerov efekt glasi: , gdje se indeksi i i p odnose na izvor i prijemnik. Prijemnik se pribliava u vazduhu nepominom izvoru zvunih vlova brzinom v = 40 m/s koji emituje zvune talase frekvencije i brzine c = 340 m/s. Prijemnik registrira frekvenciju priblino jednaku

A)

1060 Hz

B)

1 kHz

C)

1118 Hz

D)

1100 1/s

E)

ni jedna od navedenih vrijednosti nije tana

85.

I princip termodinamike:

A)

Ne moe da se primijeni na izolovane sisteme

B)

Vai samo za zatvorene sisteme

C)

Ukazuje na injenicu da se unutranja energija moe mijenjati samo razmjenom koliinom toplote Q i koliinom rada A

D)

Daje mogunost da se rad moe transformisati u toplotu, a ne i obratno

E)

Moe da se primijeni i na otvorene sisteme

86.

Formula za Dopplerov efekt glasi: . Promatra i izvor se pribliavaju jedan drugome svaki brzinom od 10 m/s. Brzina zvuka je 340 m/. Ako izvor emitira ton frekvencije od 1000 Hz, promatra uje ton od ( priblino)

A)

1030 Hz

B)

970 Hz

C)

1130 Hz

D)

990 Hz

E)

Niti jedno. Moja vrijednost je __________

87.

Koja od navedenih tvrdnji vezanih za valove nije tana?

A)

U homogenoj elastinoj sredini val se

prenosi konstantnom brzinom

B)

Brzina prostiranja mehanikog vala ne ovisi niti o obliku niti o veliini poremeaja, ve o svojstvima elastine sredine kroz koju se poremeaj prostire

C)

0U jednoj te istoj sredini transverzalni i longitudinalni poremeaj se ire jednakom brzinom

D)

Longitudinalni valovi se prenose kroz vrsta tijele, tekuine i plinove

E)

Transferzalni valovi ne ire se kroz plinove

88.

Intenzitet nekog vala iznosi 0.5 W/m2. Energija koja se ovim valom prenese kroz povrinu od 2 m2 (okomitu na pravac prostiranja vala )za dvije minute iznosi

A)

60 J

B)

120 J

C)

2J

D)

100 J

E)

Niti jedno ponueno. Moja vrijednost je______________

89.

Za mjerenje mase astronauta koristi se vaga na oprugu konstante krutosti k=500N/m. Kada se opruga izvede iz ravnotenog poloaja i ispusti, astronaut privren na nju oscilira sa periodom T=2.5s. Njegova masa je(pribino):

A)

79 kg

B)

82 kg

C)

89 kg

D)

72 kg

E)


90.

Oznaiti netanu tvrdnju

A)

Kod priguenog oscilatornog kretanja amplituda ovisi o frekvenciji osciliranja

B)

Kod prinudnog oscilatornog kretanja amplituda osciliranja ovisi o frekvenciji vanjske nametnute sile

C)

Energija prostog harmonijskog oscilatornog kretanja ovisi o kvadratu amplitude

D)

Energija prostog harmonijskog oscilatornog kretanja ovisi o kvadratu frekvencije osciliranja

E)

Kretanje opruge kod priguenog oscilatornog kretanja nee uvijek biti periodino. To ovisi o sili trenja.

91.

Okomito kroz povrinu od 1 prolazi val intenziteta od 0.2 W/. Energija koju val prenese kroz tu povrinu

za t=10s iznosi:

A)

0.2 J

B)

2.0 J

C)

0.4 J

D)

20.0 J

E)


92.

Nivo glasnosti zvuka iz nekog izvora na frekvencije od 1000 Hz iznosi 60 Ph. Njegova glasnost u Sn iznosi priblino:

A)

3.9

B)

2.9

C)

2.0

D)

1.5

E)


93.

Formula za Dopplerov efekt glasi: . Promatra i izvor se kreu jedan prema drugom svaki brzinom od 5 m/s. Brzina zvuka je 340 m/. Ako izvor emitira ton frekvencije od 1000 Hz, promatra uje ton od ( priblino)

A)

1030 Hz

B)

970 Hz

C)

1130 Hz

D)

990 Hz

E)


94.

Intenzitet zvunih talasa:

A)

direktno je stazmjeran kvadratu njihove frekvencije

B)

zavisi od akustikog otpora sredine

C)

ne zavisi od amplitude osciliranja estica sredine

D)

direktno je srazmjeran brzini njihovih prostiranja

E)

zavisi od prirode sredine u koj se prostiru

95.

Ukupna energija tijela pri prostom harmonijskom oscilatornom kretanju

A)

proporcionalna je kvadratu frekvencije i kvadratu amplitude oscilatornog kretanja i periodino se mijenja

B)

proporcionalna je kvadratu frekvencije i oscilatorno se mijenja

C)

proporcionalna je kvadratu amplitude i periodino se mijenja

D)

Proporcionalna je kvadratu amplitude i kvadratu frekvencije oscilatornog kretanja i pri opisanom kretanju ostaje konstantna.

E)

Niti jedan ponudjenih odgovora nije taan.

96.

Which one of the following statements concerning the magnetic force on a charged particle in a magnetic field is true?

A)

The magnetic force is a maximum if the particle is stationary.

B)

The magnetic force is zero if the particle moves perpendicular to the field.

C)

The magnetic force is a maximum if the particle moves parallel to the field.

D)

The magnetic force acts in the direction of motion for a positively charged particle.

E)

The magnetic force depends on the component of the particle's velocity that is perpendicular to the field.

97.

Complete the following statement: The magnitude of the magnetic force that acts on a charged particle in a magnetic field is independent of

A)

the sign of the charge.

B)

the magnitude of the charge.

C)

the magnitude of the magnetic field.

D)

the direction of motion of the particle.

E)

the velocity components of the particle.

98.

A charged particle is moving in a uniform, constant magnetic field. Which one of the following statements concerning the magnetic force exerted on the particle is false?

A)

The magnetic force does no work on the particle.

B)

The magnetic force increases the speed of the particle.

C)

The magnetic force changes the velocity of the particle.

D)

The magnetic force can act only on a particle in motion.

E)

The magnetic force does not change the kinetic energy of the particle.

99.

A proton traveling due west in a region that contains only a magnetic field experiences a vertically upward force (away from the surface of the earth). What is the direction of the magnetic field?

A)

north

B)

east

C)

south

D)

west

E)

down

100.

A charged particle is launched with a velocity of 5.2 104 m/s at an angle of 35 with respect to a 0.0045-T magnetic field. If the magnetic field exerts a force of 0.0026 N on the particle, determine the magnitude of the charge on the particle.

A)

11 C

B)

15 C

C)

19 C

D)

23 C

E)

27 C

101.

Which one of the following statements best explains why a constant magnetic field can do no work on a moving charged particle?

A)

The magnetic field is conservative.

B)

The magnetic force is a velocity dependent force.

C)

The magnetic field is a vector and work is a scalar quantity.

D)

The magnetic force is always perpendicular to the velocity of the particle.

E)

The electric field associated with the particle cancels the effect of the magnetic field on the particle.

102.

An electron traveling due north enters a region that contains a uniform magnetic field that points due east. In which direction will the electron be deflected?

A)

east

B)

west

C)

up

D)

down

E)

south

103.

Two electrons are located in a region of space where the magnetic field is zero. Electron A is at rest; and electron B is moving westward with a constant velocity. A non-zero magnetic field directed eastward is then applied to the region. In what direction, if any, will each electron be moving after the field is applied?

electron A

electron B

A)

at rest

westward

B)

northward

eastward

C)

eastward

westward

D)

southward

downward, toward the earth

E)

upward, away from earth

westward

104.

An electron is moving with a speed of 3.5 105 m/s when it encounters a magnetic field of 0.60 T. The direction of the magnetic field makes an angle of 60.0 with respect to the velocity of the electron. What is the magnitude of the magnetic force on the electron?

A)

4.9 1013 N

B)

3.2 1013 N

C)

1.7 1013 N

D)

3.4 1014 N

E)

2.9 1014 N

105.

An electron traveling due south enters a region that contains both a magnetic field and an electric field.

The electric field lines point due west. It is observed that the electron continues to travel in a straight line due south. In which direction must the magnetic field lines point?

A)

up

B)

down

C)

east

D)

west

E)

south

106.

An proton travels through a region of space with no acceleration. Which one of the following statements is the best conclusion?

A)

Both E and B must be zero in that region.

B)

E must be zero, but B might be non-zero in that region.

C)

E and B might both be non-zero, but they must be mutually perpendicular.

D)

B must be zero, but E might be non-zero in that region.

E)

E and B might both be non-zero, but they must point in opposite directions.

107.

A proton is traveling south as it enters a region that contains a magnetic field. The proton is deflected downward toward the earth. What is the direction of the magnetic field?

A)

downward, toward the earth

B)

west

C)

north

D)

east

E)

south

108.

An electron traveling horizontally enters a region where a uniform magnetic field is directed into the plane of the paper as shown. Which one of the following phrases most accurately describes the motion of the electron once it has entered the field?

A)

upward and parabolic

B)

upward and circular

C)

downward and circular

D)

upward, along a straight line

E)

downward and parabolic

109.

An electron enters a region that contains a magnetic field directed into the page as shown. The velocity vector of the electron makes an angle of 30 with the +y axis. What is the direction of the magnetic force on the electron when it enters the field?

A)

up, out of the page

B)

at an angle of 30 below the positive x axis

C)

at an angle of 30 above the positive x axis

D)

at an angle of 60 below the positive x axis

E)

at an angle of 60 above the positive x axis

110.

Two particles move through a uniform magnetic field that is directed out of the plane of the page. The figure shows the paths taken by the two particles as they move through the field. The particles are not subject to any other forces or fields. Which one of the following statements concerning these particles is true?

A)

The particles may both be neutral.

B)

Particle 1 is positively charged; 2 is negative.

C)

Particle 1 is positively charged; 2 is positive.

D)

Particle 1 is negatively charged; 2 is negative.

E)

Particle 1 is negatively charged; 2 is positive.

111.

A mass spectrometer is used to separate two isotopes of uranium with masses m1 and m2 where m2 > m1. The two types of uranium atom exit an ion source S with the same charge of +e and are accelerated through a potential difference V. The charged atoms then enter a constant, uniform magnetic field B as shown. If r1 = 0.5049 m and r2 = 0.5081 m, what is the value of the ratio m1/m2?

A)

0.9984

B)

0.9937

C)

0.9874

D)

0.9812

E)

0.9749

112.

Two charged particles of equal mass are traveling in circular orbits in a region of uniform, constant magnetic field as shown. The particles are observed to move in circular paths of radii R1 and R2 with speeds v1 and v2, respectively.

As the figure shows, the path of particle 2 has a smaller radius than that of particle 1. Which one of the following statements about this system is false?

A)

|v1/Q1| < |v2/Q2|

B)

Particle 2 carries a positive charge.

C)

Particle 1 carries a negative charge.

D)

Neither particle gains energy from the magnetic field.

E)

The particle velocities have no components parallel to the magnetic field.

113.

Two charged particles are traveling in circular orbits with the same speed in a region of uniform magnetic field that is directed into the page, as shown. The magnitude of the charge on each particle is identical, but the signs of the charges are unequal.

Which one of the entries in the table below is correct?

Mass Relationship

Sign of charge Q1

Sign of charge Q2

A)

M1 = m2

+

B)

M1 > m2

+

C)

m1 < m2

+

D)

m1 > m2

+

E)

m1 < m2

+

Use the following to answer questions 114-116:

A beam consisting of five types of ions labeled A, B, C, D, and E enters a region that contains a uniform magnetic field as shown in the figure below. The field is perpendicular to the plane of the paper, but its precise direction is not given. All ions in the beam travel with the same speed. The table below gives the masses and charges of the ions. Note: 1 mass unit = 1.67 1027 kg and e = 1.6 1019 C

114.

Which ion falls at position 2?

A)

A

B)

B

C)

C

D)

D

E)

E

115.

What is the direction of the magnetic field?

A)

toward the right

B)

toward the left

C)

into the page

D)

out of the page of the page

E)

toward the bottom

116.

Determine the magnitude of the magnetic field if ion A travels in a semicircular path of radius 0.50 m at a speed of 5.0 106 m/s.

A)

1.0 T

B)

0.84 T

C)

0.42 T

D)

0.21 T

E)

0.11 T

117.

An FM radio station generates radio waves that have a frequency of 101.3 MHz. The frequency of the waves from a competing station have a frequency of 107.1 MHz. What is the difference in wavelength between the waves emitted from the two stations?

A)

0.22 m

B)

0.45 m

C)

0.84 m

D)

2.4 m

E)

0.16 m

118.

A radio wave sent from the surface of the earth reflects from the surface of the moon and returns to the earth. The elapsed time between the generation of the wave and the detection of the reflected wave is 2.6444 s. Determine the distance from the surface of the earth to the surface of the moon. Note: The speed of light is 2.9979 108 m/s.

A)

3.7688 108 m

B)

3.8445 108 m

C)

3.9638 108 m

D)

4.0551 108 m

E)

7.9276 108 m

119.

The average distance between the surface of the earth and the surface of the sun is 1.49 1011 m. How much time, in minutes, does it take light leaving the surface of the sun to reach the earth?

A)

zero minutes

B)

2.9 103 min

C)

8.3 min

D)

74 min

E)

500 min

120.

A cellular telephone transmits electromagnetic waves at a frequency of 835 MHz. What is the wavelength of these waves?

A)

0.0146 m

B)

0.359 m

C)

0.842 m

D)

1.62 m

E)

2.47 m

121.

Which one of the following statements concerning the energy carried by an electromagnetic wave is true?

A)

The energy is carried only by the electric field.

B)

More energy is carried by the electric field than by the magnetic field.

C)

The energy is carried equally by the electric and magnetic fields.

D)

More energy is carried by the magnetic field than by the electric field.

E)

The energy is carried only by the magnetic field.

122.

The amplitude of the electric field component of an electromagnetic wave is increased from E to 3E. What is the corresponding change in the intensity of the wave?

A)

The intensity is unchanged by the increase in E.

B)

The intensity increases by a factor of nine.

C)

The intensity increases by a factor of three.

D)

The intensity decreases by a factor of three.

E)

The intensity decreases by a factor of nine.

123.

The peak value of the electric field component of an electromagnetic wave is E. At a particular instant, the intensity of the wave is of 0.020 W/m2. If the electric field were increased to 5E, what would be the intensity of the wave?

A)

0.020 W/m2

B)

0.10 W/m2

C)

0.25 W/m2

D)

0.50 W/m2

E)

1.0 W/m2

124.

An electromagnetic wave has an electric field with a peak value of 250 N/C. What is the average intensity of the wave?

A)

0.66 W/m2

B)

0.89 W/m2

C)

83 W/m2

D)

120 W/m2

E)

170 W/m2

125.

An electromagnetic wave has an electric field with peak value 250.0 N/C. What is the average energy delivered to a surface with area 0.75 m2 by this wave in one hour?

A)

8.3 104 J

B)

1.6 105 J166 J

C)

2.2 105 J

D)

3700 J

E)

9960 J

126.

An incandescent light bulb radiates uniformly in all directions with a total average power of 1.0 102 W. What is the maximum value of the magnetic field at a distance of 0.50 m from the bulb?

A)

8.4 107 T

B)

5.2 107 T

C)

3.1 107 T

D)

1.6 107 T

E)

zero tesla

127.

A local radio station transmits radio waves uniformly in all directions with a total power of 7.50 104 W. What is the intensity of these waves when they reach a receiving antenna located 20.0 km from the transmitting antenna?

A)

1.49 105 W/m2

B)

5.96 105 W/m2

C)

3.73 106 W/m2

D)

1.17 107 W/m2

E)

5.60 108 W/m2

128.

A laser uniformly illuminates an area with green light that has an average intensity of 550 W/m2. What is the rms value of the electric field of this light?

A)

322 N/C

B)

405 N/C

C)

455 N/C

D)

643 N/C

E)

891 N/C

129.

Electromagnetic waves are radiated uniformly in all directions from a source. The rms electric field of the waves is measured 35 km from the source to have an rms value of 0.012 N/C. Determine the average total power radiated by the source.

A)

5.9 103 W

B)

9.0 103 W

C)

2.4 104 W

D)

6.3 104 W

E)

1.6 105 W

130.

An astronomer observes electromagnetic waves emitted by oxygen atoms in a distant galaxy that have a frequency of 5.710 1014 Hz. In the laboratory on earth, oxygen atoms emit waves that have a frequency of 5.841 1014 Hz. Determine the relative velocity of the galaxy with respect to the astronomer on the earth. Note: The speed of light is 2.9979 108 m/s.

A)

6.724 106 m/s, away from earth

B)

6.724 106 m/s, toward earth

C)


D)

4.369 104 m/s, toward earth

E)


131.

What would the speed of an observer be if a red (4.688 1014 Hz) traffic light appeared green (5.555 1014 Hz) to the observer?

A)

4.445 108 m/s

B)

2.219 108 m/s

C)

8.438 107 m/s

D)

5.548 107 m/s

E)

2.890 106 m/s

132.

A double slit is illuminated with monochromatic light of wavelength 6.11 102 nm. The m = 0 and m = 1 bright fringes are separated by 1.8 cm on a screen which is located 3.5 m from the slits. What is the separation between the slits?

A)

4.0 105 m

B)

8.0 105 m

C)

1.2 104 m

D)

1.6 104 m

E)

2.4 104 m

133.

What does one observe on the screen in a Young's experiment if white light illuminates the double slit instead of light of a single wavelength?

A)

a white central fringe and no other fringes

B)

a dark central fringe and a series of alternating white and dark fringes on each side of the center

C)

a white central fringe and a series of colored and dark fringes on each side of the center

D)

a continuous band of colors with no dark fringes anywhere

E)

a dark screen since no constructive interference can occur

134.

In two separate double slit experiments, an interference pattern is observed on a screen. In the first experiment, violet light ( = 708 nm) is used and a second-order bright fringe occurs at the same location as a third-order dark fringe in the second experiment. Determine the wavelength of the light used in the second experiment.

A)

1320 nm

B)

862 nm

C)

503 nm

D)

431 nm

E)

495 nm

135.

Two slits separated by 2.00 105 m are illuminated by light of wavelength 625 nm. If the screen is 6.00 m from the slits, what is the distance between the m = 0 and m = 1 bright fringes?

A)

18.8 cm

B)

12.5 cm

C)

15.6 cm

D)

20.3 cm

E)

21.4 cm

136.

Two slits are separated by 2.00 105 m. They are illuminated by light of wavelength 5.60 107 m. If the distance from the slits to the screen is 6.00 m, what is the separation between the central bright fringe and the third dark fringe?

A)

0.421 m

B)

0.224 m

C)

0.168 m

D)

0.084 m

E)

0.070 m

137.

In a Young's double slit experiment, the separation between the slits is 1.20 104 m; and the screen is located 3.50 m from the slits. The distance between the central bright fringe and the second-order bright fringe is 0.0375 m. What is the wavelength of the light used in this experiment?

A)

428 nm

B)

474 nm

C)

517 nm

D)

642 nm

E)

711 nm

138.

Light is incident on two slits that are separated by 0.2 mm. The figure shows the resulting interference pattern observed on a screen 1.0 m from the slits. Determine the wavelength of light used in this experiment.

A)

0.05 nm

B)

0.50 nm

C)

50 nm

D)

500 nm

E)

5000 nm

139.

The figure shows the interference pattern produced when light of wavelength 500 nm is incident on two slits. Fringe A is equally distant from each slit. By what distance is fringe B closer to one slit than the other?

A)

250 nm

B)

500 nm

C)

750 nm

D)

1000 nm

E)

1500 nm

140.

In a Young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the fringes to be more closely spaced?

A)

Reduce the slit separation distance.

B)

Use red light instead of green light.

C)

Use blue light instead of green light.

D)

Move the screen farther away from the slits.

E)

Move the light source farther away from the slits.

141.

Light of wavelength 530 nm is incident on two slits that are spaced 1.0 mm apart. How far from the slits should the screen be placed so that the distance between the m = 0 and m = 1 bright fringes is 1.0 cm?

A)

7.9 m

B)

9.5 m

C)

16 m

D)

19 m

E)

36 m

Use the following to answer questions 142-147:

The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600 nm.

v

142.

Which fringe is the same distance from both slits?

A)

A

B)

B

C)

C

D)

D

E)

E

143.

Which fringe is the third order maximum?

A)

A

B)

B

C)

C

D)

D

E)

E

144.

Which fringe is 300 nm closer to one slit than to the other?

A)

A

B)

B

C)

C

D)

D

E)

E

145.

Which fringe results from a phase difference of 4?

A)

A

B)

B

C)

C

D)

D

E)

E

146.

Which one of the following phenomena would be observed if the wavelength of light were increased?

A)

The fringes would be brighter.

B)

More bright fringes would appear on the screen.

C)

The distance between dark fringes would decrease.

D)

Single-slit diffraction effects would become non-negligible.

E)

The angular separation between bright fringes would increase.

147.

Which one of the following phenomena would be observed if the distance between the slits is increased?

A)

The fringes would become brighter.

B)

The central bright fringe would change position.

C)

The distance between dark fringes would increase.

D)

The distance between bright fringes would increase.

E)

The angular separation between the dark fringes would decrease.

Answer Key

1.

A

2.

C

3.

(No Answer Provided)

4.

D

5.

C

6.

C

7.


8.

B

9.


10.


11.

D

12.

B

13.

A

14.


15.


16.

B

17.

B

18.

B

19.

C

20.

B

21.

D

22.

D

23.

24.

C

25.

D

26.

A

27.

A

28.

B

29.

A

30.

A

31.

C

32.


33.


34.


35.

1,0 eV

36.

B

37.

C

38.

C

39.

B

40.

D

41.

A

42.

B

43.

C

44.

C

45.

C

46.

C

47.

B

48.

A

49.

50.

B

51.

6900 godina

52.

B

53.

A

54.

D

55.

A

56.

A

57.

D

58.

B

59.

A

60.


61.


62.


63.

A

64.


65.


66.

A

67.


68.

69.

D

70.


71.

B

72.

A

73.

A

74.

B

75.


76.

77.

A

78.


79.

80.

C

81.

f=2 Hz, =0.5 m, v=1 m/s

82.

C

83.

A

84.


85.


86.

E

87.


88.

A

89.


90.

A

91.


92.

A

93.

A

94.

C

95.


96.

E

97.

A

98.

B

99.

C

100.

C

101.

D

102.

D

103.

A

104.

E

105.

B

106.

C

107.

B

108.

C

109.

B

110.

D

111.

C

112.

A

113.

B

114.

B

115.

C

116.

D

117.

E

118.

C

119.

C

120.

B

121.

C

122.

B

123.

D

124.

C

125.

C

126.

B

127.

A

128.

C

129.

A

130.

A

131.

D

132.

C

133.

C

134.

E

135.

A

136.

A

137.

D

138.

D

139.

D

140.

C

141.

D

142.

B

143.

E

144.

A

145.

D

146.

E

147.

E

Page 1

Page 38

2

m

2

m

1

1

o

os

s

v

v

ff

v

v

=

m

60

68

X

2.5cm

15

7.410m

-

l

128

60

X

118

68

X

68

60

X

118

Sn

50

19

1.610J

-

1614

O, N

8 7

1214

C, C

6 6

1623

O, Na

8 11

1414

N, C

7 6

1413

N, C

7 6

4

1.9610m

-

y10sin(62.8t62.8x)

=-

27

1.6710kg

-

5

6.310ms

5

4.010ms

'

p

i

vv

ff

vv

=

m

50

o

40.63

o

14

C

0.5

3

xt

p

=

sin

4

1

06910

C

.

g

-

=

o

3

5

m

4

1

9510

C

.

g

-

=

o

50

C

o

y3sin(60t20x)

pp

=-

0.1m

l

=

0.2m

l

=

0.2m

l

=

13

10

0.1m

l

=

0.1m

l

=

3

3.1610

5

2.1110

2

m

2

m

1

1

o

os

s

v

v

ff

v

v

=

m

y2,5sin(50t15x)

=-

12

y10sin(62.8t62.8x)

=-

y2,5sin(4t4x)

pp

=-

1

1

p

pi

i

v

c

ff

v

c

=

m

1000

i

fHz

=

p

f

1

1

o

os

s

v

v

ff

v

v

=

m

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