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A broadcasting station produces radio waves of wavelength 800 m. Determine their frequency (speed of air is 3 x 108 ms⁻¹)

Physics

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Answer

375,000 Hz\text{375,000 Hz}

Step-by-step solution

4 steps

Huu hapa ni utatuzi wa swali la 10:

Swali la 10: Kituo cha utangazaji hutoa mawimbi ya redio yenye urefu wa wimbi wa 800 m. Bainisha marudio yake (kasi ya hewa ni 3×108 m/s3 \times 10^8 \, \text{m/s}).

  1. Tambua taarifa ulizopewa na fomula inayohusika.

    Tunajua kasi ya wimbi (vv), urefu wa wimbi (λ\lambda), na tunahitaji kupata marudio (ff).
    Kasi ya wimbi, v=3×108 m/sv = 3 \times 10^8 \, \text{m/s}
    Urefu wa wimbi, λ=800 m\lambda = 800 \, \text{m}
    Fomula inayohusisha hizi ni: v=fλv = f \lambda

  2. Panga upya fomula ili kupata marudio (ff).

    f=vλf = \frac{v}{\lambda}
  3. Badilisha namba kwenye fomula na ufanye hesabu.

    f=3×108 m/s800 mf = \frac{3 \times 10^8 \, \text{m/s}}{800 \, \text{m}} f=300,000,000800 Hzf = \frac{300,000,000}{800} \, \text{Hz} f=375,000 Hzf = 375,000 \, \text{Hz}
  4. Toa jibu la mwisho.

    Marudio yanaweza pia kuandikwa kama kilohertz (kHz) au megahertz (MHz).
    375,000 Hz=375 kHz375,000 \, \text{Hz} = 375 \, \text{kHz}
    375,000 Hz=0.375 MHz375,000 \, \text{Hz} = 0.375 \, \text{MHz}

    Marudio ya mawimbi ya redio ni 375,000 Hz\text{375,000 Hz}.

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