The speed of a wave is 3×108 m/s and its wavelength is 5×10⁻⁷m. Calculate the frequency.

Huu hapa ni ufumbuzi wa swali lako: Step 1: Tambua thamani ulizopewa. Kasi ya wimbi (v) ni 3 × 10⁸ m/s. Urefu wa wimbi (λ) ni 5 × 10⁻⁷ m. Tunahitaji kukokotoa marudio (f). Step 2: Tumia fomula ya kasi ya wimbi. Fomula inayohusisha kasi ya wimbi, marudio, na urefu wa wimbi ni: v = f λ Ili kupata marudio (f), tunapanga upya fomula kama ifuatavyo: f = (v)/(λ) Step 3: Badilisha thamani kwenye fomula. f = 3 × 10⁸ m/s5 × 10⁻⁷ m Step 4: Kokotoa marudio. f = 3/5 × (10⁸)/(10⁻⁷) Hz; f = 0.6 × 10⁸⁻⁽⁻⁷⁾ Hz; f = 0.6 × 10¹⁵ Hz; f = 6 × 10¹⁴ Hz Marudio ya wimbi ni: 6 × 10¹⁴ Hz

The speed of a wave is 3×108 m/s and its wavelength is 5×10⁻⁷m. Calculate the frequency.

Huu hapa ni ufumbuzi wa swali lako: Step 1: Tambua thamani ulizopewa. Kasi ya wimbi (v) ni 3 × 10⁸ m/s. Urefu wa wimbi (λ) ni 5 × 10⁻⁷ m. Tunahitaji kukokotoa marudio (f). Step 2: Tumia fomula ya kasi ya wimbi. Fomula inayohusisha kasi ya wimbi, marudio, na urefu wa wimbi ni: v = f λ Ili kupata marudio (f), tunapanga upya fomula kama ifuatavyo: f = (v)/(λ) Step 3: Badilisha thamani kwenye fomula. f = 3 × 10⁸ m/s5 × 10⁻⁷ m Step 4: Kokotoa marudio. f = 3/5 × (10⁸)/(10⁻⁷) Hz; f = 0.6 × 10⁸⁻⁽⁻⁷⁾ Hz; f = 0.6 × 10¹⁵ Hz; f = 6 × 10¹⁴ Hz Marudio ya wimbi ni: 6 × 10¹⁴ Hz

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The speed of a wave is 3x108 m/s and its wavelength is 5x10⁻⁷m. Calculate the frequency.

September 7, 2026Physics

ScanSolve AI Answer

Answer

\text{}6 \times 10^{14} \text{ Hz}

Step-by-step solution

4 steps

Huu hapa ni ufumbuzi wa swali lako:

Tambua thamani ulizopewa.
Kasi ya wimbi ( $v$ ) ni $3 \times 10^8 \text{ m/s}$ .
Urefu wa wimbi ( $\lambda$ ) ni $5 \times 10^{-7} \text{ m}$ .
Tunahitaji kukokotoa marudio ( $f$ ).
Tumia fomula ya kasi ya wimbi.
Fomula inayohusisha kasi ya wimbi, marudio, na urefu wa wimbi ni:
$v = f \lambda$
Ili kupata marudio ( $f$ ), tunapanga upya fomula kama ifuatavyo:
$f = \frac{v}{\lambda}$
Badilisha thamani kwenye fomula.
$f = \frac{3 \times 10^8 \text{ m/s}}{5 \times 10^{-7} \text{ m}}$
Kokotoa marudio.
$f = \frac{3}{5} \times \frac{10^8}{10^{-7}} \text{ Hz}$ $f = 0.6 \times 10^{8 - (-7)} \text{ Hz}$ $f = 0.6 \times 10^{15} \text{ Hz}$ $f = 6 \times 10^{14} \text{ Hz}$
Marudio ya wimbi ni:
$\text{}6 \times 10^{14} \text{ Hz}$