1. Abu yana girgiza da mita na 5 Hz zuwa dama da hagu. Abu yana motsawa daga ma'aunin daidaito zuwa matsakaicin motsi a dama. A ƙayyade tazarar lokacin da ake buƙata don isa matsakaicin motsi a dama sau goma sha ɗaya.
A. 2.05
B. 2.20
C. 2.25
D. 2.50
An sani:
Mita (f) = adadin girgiza na daƙiƙa 1 = 5 Hz
Lokaci (T) = tazara tsakanin lokacin da za a yi girgiza ɗaya = 1/f = 1/5 = daƙiƙa 0.2
Ana so: Tazarar lokacin da ake buƙata don isa matsakaicin motsi a dama sau goma sha ɗaya
Magani:
Tsarin girgizar abu:
(Girman 1): B → C → B → A → B
Ga wani girgiza, abin yana yin girgiza guda huɗu waɗanda suka haɗa da B zuwa C, C zuwa B, B zuwa A, A zuwa B. Tazarar lokacin da ake buƙata don girgiza ɗaya shine daƙiƙa 0.2 / 4 = daƙiƙa 0.05.
Tazarar lokacin da ake buƙata don isa ga matsakaicin motsi a dama sau goma sha ɗaya = (daƙiƙa 10 x 0.2) + daƙiƙa 0.05 = daƙiƙa 2 + daƙiƙa 0.05 = daƙiƙa 2.05.
Amsar da ta dace ita ce A.
2. Ana rataye maɓuɓɓuga da wani abu sannan a girgiza shi. Domin mitar girgiza ta ninka mitar girgiza ta asali sau biyu, to ana canza nauyin abin zuwa…
A. ninki biyu na nauyin farko na kayan
B. Ninki huɗu na nauyin kayan asali
C. rabin lokacin nauyin kaya
D. kwata na nauyin nauyin asali
Magani:
Daidaiton mitar girgizar bazara:
![]()
f = mita, k = akai-akai, m = nauyin abu
Yawan girgizar bazara (f) idan k = sau 1, m = sau 1:
![]()
Domin yawan (f) girgizar bazara ta ninka nauyin (m) sau biyu, an canza ta zuwa sau 0.25 ko sau 1/4:
![]()
Amsar da ta dace ita ce D.
3. An rataye wani marmaro mai tsayin k = 1000 N/m tare da wani abu mai nauyin gram 400. An ja abin zuwa dama har zuwa 5 cm, sannan a sake shi, don haka abin ya zama mai sauƙin juyawa . A ƙayyade girman da mitar juyawar abu.

An sani:
Madaidaicin bazara (k) = 1000 N/m
Nauyin abu (m) = gram 400 = 0.4 kg
Girman (Δx) = 5 cm = 0.05 m
Ana so: Girma da mitar juyawa
Magani:
Girman juyawar bazara = Δx = 5 cm.
Mitar oscillations:
![]()
Amsar da ta dace ita ce B.