1. Mtunda pakati pa mitsinje iwiri ya mafunde pamwamba pa madzi ndi mamita 20. Chinthu chimayandama pamwamba pa madzi kotero kuti chimamva kuyenda kwa kugwedezeka. Ngati nthawi yoyenda kugwedezeka kamodzi ndi masekondi 4, ndiye kuti liwiro la mafunde ndi .... m/s
A. 20
B. 15
C. 10
D. 5
Zodziwika:
Kutalika kwa mafunde (λ) = mamita 20
Nthawi (T) = masekondi 4
Kufunidwa: Liwiro la mafunde (v)
Yankho:
Kuyerekeza kwa liwiro la mafunde:
v = λ / T = mamita 20 / masekondi 4 = mamita 5 / sekondi
Yankho lolondola ndi D.
2. Ma point awiri A ndi B ali pa chingwe ndipo ali 90 cm kutalikirana. Pa chingwecho pamakhala mafunde opingasa , kotero kuti point A ili pamwamba pa mafunde, point B pansi pa mafunde, ndipo pakati pawo, pali ma crests awiri ndi ma trough awiri. Ngati nthawi ya mafunde ndi masekondi 0.3, ndiye kuti mafunde amafalikira…
A. 10.8 cm/s
B. 18.0 cm/s
C. 120.0 cm/s
D. 200.0 cm/s
Zodziwika:
Mtunda AB (l) = 90 cm
Nthawi ya mafunde (T) = masekondi 0.3
Kuchuluka kwa mafunde (f) = 1/0.3 masekondi
Mfundo A ili pamwamba pa mafunde ndipo mfundo B ili pamwamba pa mafunde.
Pakati pa mfundo A ndi B, pali ma crests awiri ndi ma trough awiri.
Kufunidwa: Liwiro la mafunde (v = f λ)
Yankho:
Kutengera chithunzi, tinganene kuti pali ma wavelengths 2.5. Mtunda wa ma wavelengths (λ) = 90 cm / 2.5 = 36 cm
Liwiro la mafunde:
v = f λ = (1 / 0.3) (36) = 36 / 0.3 = 120 cm/s.
Yankho lolondola ndi C.
3. Chithunzi chotsatirachi chikuwonetsa kusamuka kwa mfundo mu sing'anga imodzi monga momwe nthawi imayendera pamene mafunde amadutsa mu sing'anga.
Ngati kutalika kwa mafunde kuli mamita 6, ndiye kuti liwiro la kufalikira kwa mafunde ndi…
A. 3 m/s
B. 6 m/s
C. 8 m/s
D. 12 m/s
Zodziwika:
Pali ma wavelength awiri kutengera graph yomwe ili pamwambapa.
Mtunda wa kutalika kwa 1 (λ) = mamita 6 / 2 = mamita 3
Nthawi (T) = masekondi 0.5
Kufunidwa: Liwiro la mafunde (v)
Yankho:
v = f λ = λ / T = mamita 3 / masekondi 0.5 = mamita 6 / sekondi
Yankho lolondola ndi B.
4. Kutengera chithunzi chomwe chili pansipa, mfundo yomwe ili ndi kusiyana kwa gawo ¾ ndi mfundo A ndi ....
A. Mfundo B
B. Mfundo C
C. Mfundo D
D. Mfundo E
Anakonza
Mfundo B ili ndi kusiyana kwa gawo la ¼ λ ndi mfundo A
Mfundo C ili ndi kusiyana kwa gawo la 2/4 λ kapena 1/2 λ ndi mfundo A
Mfundo D ili ndi kusiyana kwa gawo la 3/4 λ ndi mfundo A
Mfundo F ili ndi kusiyana kwa gawo la 5/4 λ ndi mfundo A.
Yankho lolondola ndi C.
5. Pamwamba pa dziwe, pali masamba awiri ouma omwe ali pamtunda wa masentimita 60 kuchokera kwa wina ndi mnzake. Onse awiri amasuntha mmwamba ndi pansi ngati pamwamba pa madzi ndi pafupipafupi ya 2 Hz. Tsamba limodzi likafika pamwamba, masamba ena amakhala pa ngalande, ndipo pakati pawo, pali ngalande imodzi ndi ngalande imodzi. Dziwani liwiro la kufalikira kwa mafunde.
A. 20 cm/s
B. 30 cm/s
C. 80 cm/s
D. 120 cm/s
Zodziwika:
Mtunda pakati pa masamba onse awiri = 60 cm
Kuchuluka kwa nthawi (f) = 2 Hz = 2
Kufunidwa: Liwiro la mafunde
Yankho:
Pakati pa masamba onse awiri, pali mafunde 1.5. Mtunda wa mafunde 1 ndi (λ) = 60 cm / 1.5 = 40 cm
Liwiro la mafunde (v):
v = f λ = (2 Hz)(40 cm) = 80 cm/sekondi
Yankho lolondola ndi C.
6. Kutengera chithunzi chili pansipa, dziwani kukula, nthawi, kuchuluka, ndi liwiro la mafunde.
Yankho:
Kukula kwa malo (A) = mamita 4
Nthawi (T) = masekondi 6 / 3 = masekondi awiri
Kuchuluka kwa nthawi (f) = 1 / T = 1 / 2 = 0.5 hertz
Kutalika kwa mafunde (λ) = mamita 24 / 3 = mamita 8
Liwiro la mafunde (v) = f λ = (0.5 hertz)(mamita 8) = mamita 4/sekondi kapena
Liwiro la mafunde (v) = λ / T = mamita 8 / masekondi 2 = mamita 4/sekondi
Yankho lolondola ndi D.
7. Pa chingwe chokhala ndi kutalika kwa 1.2 m ndi kulemera kwa 200 g, mafunde 1.5 a sinusoidal okhala ndi pafupipafupi ya 50 Hz adapangidwa. Kutengera ndi deta iyi, dziwani nthawi ya mafunde ndi mphamvu ya chingwe.
A. Nthawi = masekondi 0.02 ndi mphamvu ya kukakamira = 6.67 N
B. Nthawi = masekondi 0.01 ndi mphamvu ya kukakamira = 6.67 N
C. Nthawi = masekondi 0.02 ndi mphamvu ya kukakamira = 266.67 N
D. Nthawi = masekondi 0.01 ndi mphamvu ya kukakamira = 266.67 N
Zodziwika:
Kutalika kwa chingwe (l) = mamita 1.2 ndipo pali mafunde a sinusoidal 1.5 kotero kuti mtunda wa kutalika kwa 1 (λ) = mamita 1.2 / 1.5 = mamita 0.8
Kulemera kwa chingwe (m) = 200 magalamu = 0.2 kg
Mafupipafupi (f) = 50 Hz
Kuchuluka kwa chingwe (µ) = m/l = 0.2 kg / 1.2 metres = (1/6) kg/mita
Kufunidwa: Nthawi ya mafunde (T) ndi mphamvu ya chingwe (T)
Yankho:
Nthawi ya mafunde:
T = 1 / f = 1 / 50 Hz = masekondi 0.02
Liwiro la mafunde pa chingwe:
v = f λ = (50 Hz)(0.8 mamita) = mamita 40/sekondi
Mphamvu ya kukakamira (T):
Yankho lolondola ndi C.
