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State two uses of a cathode ray oscilloscope in a laboratory. A signal of wavelength 2.0 cm is input into a cathode ray oscilloscope. Given that the speed of the generated wave is 3.0x105 ms⁻¹, determine its frequency.

Physics

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Haya, hizi hapa suluhisho za maswali uliyotuma:

Swali la 9: Matumizi mawili ya oscilloscope ya miale ya kathodi (cathode ray oscilloscope) maabara.

  • Kupima voltage za AC na DC.
  • Kuonyesha umbo la wimbi (waveform) la mawimbi ya umeme.
  • Kupima frequency ya mawimbi.
  • Kupima tofauti ya awamu (phase difference) kati ya mawimbi mawili.

Haya hapa matumizi mawili:

  1. Kupima voltage (AC au DC).
  2. Kuonyesha umbo la wimbi (waveform) la mawimbi ya umeme.

Swali: Mawimbi yenye urefu wa wimbi (wavelength) wa 2.0 cm2.0 \text{ cm} yanaingizwa kwenye oscilloscope ya miale ya kathodi. Kwa kuwa kasi ya wimbi lililotengenezwa ni 3.0×105 ms−13.0 \times 10^5 \text{ ms}^{-1}, tambua frequency yake.

  1. Badilisha urefu wa wimbi kutoka sentimita kwenda mita.

    λ=2.0 cm=2.0×10−2 m\lambda = 2.0 \text{ cm} = 2.0 \times 10^{-2} \text{ m}
  2. Tumia fomula inayohusisha kasi ya wimbi (vv), frequency (ff), na urefu wa wimbi (λ\lambda).

    v=fλv = f\lambda

    Ili kupata frequency, panga upya fomula:

    f=vλf = \frac{v}{\lambda}
  3. Badilisha thamani ulizopewa kwenye fomula.

    f=3.0×105 ms−12.0×10−2 mf = \frac{3.0 \times 10^5 \text{ ms}^{-1}}{2.0 \times 10^{-2} \text{ m}}
  4. Kokotoa frequency.

    f=3.02.0×105−(−2) Hzf = \frac{3.0}{2.0} \times 10^{5 - (-2)} \text{ Hz} f=1.5×105+2 Hzf = 1.5 \times 10^{5+2} \text{ Hz} f=1.5×107 Hzf = 1.5 \times 10^7 \text{ Hz}

    Frequency ya wimbi ni 1.5×107 Hz\boxed{\text{}1.5 \times 10^7 \text{ Hz}}.

    Swali: Una vifaa vya rula ya mita, lenzi ya mbonyeo (convex lens), kishikilia lenzi, na skrini. Kwa msaada wa mchoro, eleza jinsi urefu wa focal (focal length) wa lenzi unavyoweza kukadiriwa.

    Ili kukadiria urefu wa focal wa lenzi ya mbonyeo kwa kutumia kitu kilicho mbali sana:

  5. Weka lenzi ya mbonyeo kwenye kishikilia lenzi.

    Elekeza lenzi kuelekea kitu kilicho mbali sana, kama vile mti au jengo nje ya dirisha. Kitu hicho kinapaswa kuwa mbali kiasi kwamba miale ya mwanga inayotoka kwake inaweza kuchukuliwa kuwa sambamba.

  6. Weka skrini nyuma ya lenzi na uisogeze mbele na nyuma polepole hadi picha kali, halisi, na iliyogeuzwa ya kitu hicho cha mbali itakapoundwa kwenye skrini.

  7. Pima umbali kati ya kituo cha lenzi na skrini kwa kutumia rula ya mita.

    Umbali huu ndio urefu wa focal (ff) wa lenzi.

    Mchoro unaweza kuonyesha: Miale ya mwanga sambamba ikitoka kwenye kitu kilicho mbali sana, ikipita kwenye lenzi ya mbonyeo, na kuungana kwenye sehemu moja (focal point) kwenye skrini. Umbali kutoka katikati ya lenzi hadi kwenye skrini (ambapo picha kali imeundwa) unapaswa kuwekewa lebo kama 'ff'.

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