Mienzaniso gumi nemiviri yeMafungu Akachinjika
1. Muedzo wewave inotenderera inopararira patambo ndewekuti y = 3 sin π (120 t – 0,4 x). Kana x na y vari mu cm uye t vari mumasekondi, saka wavelength iri ….
A. 1 cm
B. 2 cm
C. 3 cm
Kureba 4 cm
E. 5 cm
Kukurukurirana:
Mafomu matatu basa remafungu iyo inopararira munzira ye x-axis yakanaka (kurudyi).
Information :
A = amplitude kana kutsauka, T = frequency, f = wave period, = wavelength, v = wave speed
Zvinozivikanwa :
Equation yewave inotenderera
Kukura kwemafungu (A) :
A = 3 cm
Kuwanda kwemafungu (f) :
t / T = tf = 60 t
f = 60 hertz
Kureba kwewave :
Akabvunzwa :
Kureba kwemafungu?
Jawab :
Kureba kwemafungu = 5 cm
Mhinduro chaiyo ndiE.
2. Mafungu anofamba achipararira pamucheto wakatarwa wetambo anoratidzwa sezviri mudhayagiramu iri pazasi:
Kana daro AB = mamita matatu rakafukidzwa musekondi imwe chete, saka equation yewave inotenderera inopararira kurudyi ndeiyi...
A. y= 0,4 chivi π (3 t – x) m
B. y= 0,4 sin π (3 t + x/2) m
C. y= 0,4 sin π (6 t – x/4) m
D. y= 0,8 chivi π (4 t – x/3) m
E. y= 0,8 chivi π (4 t + x/3) m
Zvinozivikanwa :
Akabvunzwa :
Kuenzanisa kwemafungu?
Jawab :
Mhinduro chaiyo ndiA.
Kumhanya kwekupararira kwemafungu anochinjika patambo
3. Kubva muhuwandu hunotevera,
(1) Simba rekusunga tambo
(2) Huremu hwetambo pahurefu hweyuniti imwe neimwe
(3) Nzvimbo yetambo ine chikamu chakasiyana
(4) Ruvara rwetambo
Huwandu hunoita kuti mafungu afambe nekukurumidza patambo huvepo ndehwekuti...
A. (1) na (2)
B. (1) uye (4)
C. (2) uye (4)
D. (3) na (4)
E. (1) chete
Kukurukurirana
Fomura yekumhanya kwekupararira kwemafungu patambo:
Zvinhu zvinopesvedzera kumhanya kwekupararira kwemafungu patambo ndeizvi:
1. Simba rekusunga tambo (F)
2. Huremu hwetambo pahurefu hweyuniti ( )
Mhinduro chaiyo ndiA.
Equation yewave inotenderera inofamba
4. Mufananidzo uri pazasi unoratidza kupararira kwemafungu patambo.
Kana nguva yemafungu iri masekondi maviri, saka equation yemafungu iri...
A. y = 0,5 chivi 2π (t - 0,5x)
B. y = 0,5 chivi 2π (t - 0,5x)
C. y = 0,5 chivi 2π (t - x)
D. y = 0,5 sin 2π (0,5t – x/4)
E. y = 0,5 chivi 2π (t – x/6)
Kukurukurirana
Zvinozivikanwa kuti:
Kukura kwenzvimbo (A) = 0,5 mamita
Nguva (T) = masekondi 2
Kuwanda (f) = 1/T = ½ = 0,5 hertz
Kureba kwemafungu = λ = mamita mana
Akabvunzwa: muyero wemafungu
Mhinduro:
Mafomu matatu emabasa/maequations emafungu :
y = A chivi (ωt – kx) ——> 1
ω = 2π / T uye k = 2π / λ
y = Chivi (2π/T) t – (2π/λ) x
y = A chivi 2π (t/T – x/λ) ——-> 2
T = 1/f uye λ = v/f
y = A chivi 2π (ft – f(x/v))
y = A chivi 2πf (t – x/v) ——-> 3
Equation yemafungu iri maererano nemufananidzo uri pamusoro apa:
y = Chivi (πt – 0,5πx) ——-> 1
y = A chivi π (t – 0,5x)
y = Chivi 2π (0,5t – x/4) ——-> 2
Mhinduro chaiyo ndiD.
5.
Funga nezvemafungu anochinjika anoitika patambo sezvakaratidzwa mumufananidzo uri pazasi! Kana mafungu akafamba nekumhanya kwe30 m/s, frequency yemafungu nde…
A. 150 Hz
B. 90 Hz
C. 25 Hz
D. 10 Hz
Kukurukurirana
Kune makomo matatu emafungu uye mipata miviri yemafungu saka kune marefu ewavelength 2,5. Saka 1 wavelength = 7,5 metres / 2,5 = 3 metres
Zvinozivikanwa kuti:
Hurefu hwemafungu (lambda) = 7,5 / 2,5 = mamita matatu
Kumhanya kwekupararira kwemafungu (v) = 30 m/s
Yabvunzwa: mafungu emvura (f)
Mhinduro:
Mhinduro chaiyo ndiD.
6.
Mwana ari kufambisa tambo kuti agadzire mafungu akafanana neari kuratidzwa mumufananidzo. Kana nguva inotorwa kubva paP kuenda kuX iri masekondi gumi, saka kumhanya kwemafungu kwacho...
A. 3,0 m/s
B. 1,5 m/s
C. 0,5 m/s
D. 0,3 m/s
Kukurukurirana
– Kune macrests maviri nematawrs maviri, saka kune mawavelength maviri. Kana mawavelength maviri akafamba mumasekonzi gumi, saka wavelength imwe chete inofamba mumasekonzi mashanu.
- Kureba kwema wavelength maviri mamita matatu, saka kureba kwema wavelength rimwe chete mamita 1,5.
Zvinozivikanwa kuti:
Hurefu hwemafungu (lambda) = 3 / 2 = mamita matatu
Nguva yemafungu (T) = masekondi mashanu
Kuwanda kwemafungu (f) = 1/T = 1/5 = 0,2 Hertz
Akabvunzwa: kumhanya kwekuparadzira mafungu (v)
Mhinduro:
Kumhanya kwekupararira kwemafungu :
Mhinduro chaiyo ndiD.
7.
Tambo inozunguzwa kuti igadzire mafungu sezvakaratidzwa mumufananidzo unotevera! Mafungu ari kupararira nekukurumidza zvakadii?
A. 0,5 m/s
B. 1 m/s
C. 2 m/s
D. 4 m/s
Kukurukurirana
- Kune makomo maviri emafungu uye mupata mumwe chete wemafungu saka kune mafungu 1,5 ewavelengths
– 1 wavelength = daro riri pakati pemafungu maviri ari pedyo = daro riri pakati pemafungu maviri ari pedyo. Saka, 1 wavelength = 2,0 metres
- Chikamu chimwe chete chewave chinotora masekondi 0,25 uye chikamu chimwe chete chewave chinotora masekondi 0,25, saka wavelength imwe chete inotora masekondi 0,50. Saka nguva yemafungu = masekondi 0,50.
Zvinozivikanwa kuti:
Hurefu hwemafungu (lambda) = 2,0 metres
Nguva yemafungu (T) = masekondi mashanu
Kuwanda kwemafungu (f) = 2 Hertz
Mubvunzo: Kumhanya kwekupararira kwemafungu (v)
Mhinduro:
Kumhanya kwekupararira kwemafungu :
Mhinduro chaiyo ndiD.
8. Wave inochinjika ine nguva yemasekonzi gumi uye daro riri pakati pemapoinzi maviri akatevedzana muchikamu i10 cm. Kumhanya kwekupararira kwemafungu ndiko...
A. 1 cm/s
B. 2 cm/s
C. 3 cm/s
D. 4 cm/s
E. 5 cm/s
Kukurukurirana:
Zvinozivikanwa :
Nguva (T) = masekondi 10
Hurefu hwemafungu () = 10 cm
Akabvunzwa :
Kumhanya kwekupararira kwemafungu (v) ?
Jawab :
Fomura yekumhanya kwekuparadzira mafungu :
Mhinduro chaiyo ndiA.
9. Kumhanya kwewave inochinjika patambo = 2v uye kumanikidzwa kwayo = 3F. Kana kureba nehuremu hwetambo zvikaramba zvakafanana, nepo kumanikidzwa mutambo kwakawedzerwa kusvika 6F, ipapo kumhanya kwewave patambo kunova...
A. 8v
B. 2v
C. 2√2
D. v
E. ½ v
Kukurukurirana:
Zvinozivikanwa :
Kumhanya kwemafungu anotenderera 1 (v)1) = 2v
Kubata tambo 1 (T)1) = 3F
Kubata tambo 2 (T)2) = 6F
Akabvunzwa :
Kumhanya kwemafungu anotenderera 2 (v)2)?
Jawab :
Nzira yekumhanya kwekupararira kwemafungu anochinjika patambo :
Mhinduro chaiyo ndiC.
10. Makorokori maviri ari pamakona emafungu akatarisana. Anofamba achikwira nekudzika pamusoro pegungwa ka20 mumasekonzi mana, achitevera mafungu. Kana daro riri pakati pemakorokori maviri iri 100 cm uye paine mipata miviri nechikomo chimwe pakati pawo, saka frequency yemafungu nekumhanya kwemafungu...
A. 0,2 Hz uye 200 cm.s-1
B. 5,0 Hz uye 200 cm.s-1
C. 0,2 Hz uye 250 cm.s-1
D. 2,5 Hz uye 250 cm.s-1
E. 5,0 Hz uye 250 cm.s-1
Kukurukurirana
Zvinozivikanwa :
Makoki maviri aya ari pamusoro pemafungu, uye pakati pawo pane mipata miviri nechikomo chimwe (ona mufananidzo). Saka, pane marefu maviri pakati pemakoki maviri aya.
Hurefu hwemafungu (λ) = 100 cm / 2 = 50 cm.
Kuwanda (f) = 20/4 = 5 Hertz
Akabvunzwa : mafungu ekufamba uye kumhanya kwekuparadzira mafungu
Jawab :
Kuwanda kwemafungu (f) = 5 Hertz
Kumhanya kwekupararira kwemafungu (v) = f λ = (5)(50 cm) = 250 cm/s
Mhinduro chaiyo ndiE.
11. Chitubu (slinky) chinozunguzwa kuitira kuti chigadzire mafungu enguva refu ane chinhambwe che40 cm pakati pemafungu maviri ari pedyo. Kana kumhanya kwekupararira kwemafungu kuri 20 ms-1, ipapo urefu hwemafungu uye frequency yemafungu…
A. 0,2 m uye 100 Hz
B. 0,4 m uye 50 Hz
C. 0,8 m uye 25 Hz
D. 40 m uye 0,50 Hz
E. 80 m uye 0,25 Hz
Kukurukurirana
Zvinozivikanwa :
Nhambwe iri pakati pekudzvanywa kuviri kuri pedyo kana daro riri pakati pemhando mbiri dziri pedyo kana daro riri pakati pemakomo maviri ari pedyo kana daro riri pakati pemipata miviri iri pedyo = 1 wavelength.
Hurefu hwemafungu (λ) = 40 cm = 0,4 metres
Kumhanya kwekupararira kwemafungu (v) = 20 m/s
Akabvunzwa : Hurefu hwemafungu (λ) uye mafungu enguva (f)
Jawab :
Kureba kwemafungu (λ) = mamita makumi maviri
Kuwanda kwemafungu (f) = v / λ = 20 / 0,4 = 50 Hertz
Mhinduro chaiyo ndeiyi B.
12. Pamusoro pegungwa, pane makorokori maviri akaparadzaniswa ne60 cm. Ose anokwira nekudzika nedanho regungwa ka20 mumasekonzi gumi. Kana rimwe riri pamusoro pemafungu, rimwe riri pagomba. Pakati pemakorokori maviri pane denderedzwa remafungu, ipapo nguva yemafungu nekumhanya kwemafungu...
A. 0,5 s uye 20 cm.s-1
B. 0,5 s uye 30 cm.s-1
C. 0,5 s uye 80 cm.s-1
D. 2 s uye 120 cm.s-1
E. 2 s uye 240 cm.s-1
Kukurukurirana
Zvinozivikanwa :
Hurefu hwemafungu (λ) = 60 cm / 1,5 = 40 cm
Kuwanda (f) = 20/10 = 2 Hertz
Akabvunzwa : Nguva yemafungu uye kumhanya kwekupararira kwemafungu
Jawab :
Nguva (T) = 1/f = 1/2 = masekondi 0,5
Kumhanya kwemafungu (v) = f λ = (2)(40) = 80 cm/s
Mhinduro chaiyo ndiC.
