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If the frequency (ν) of a wave is 100 Hz, calculate the wavelength (λ) using the formula v = νλ, where the speed of the wave (v) is 3×10⁸ m/s.

1. Frequency (ν) = 100 Hz, wavelength (λ) = 3×10⁸/100 = 3×10⁶ m.
2. Frequency (ν) = 200 Hz, wavelength (λ) = 3×10⁸/200 = 1.5×10⁶ m.
3. Frequency (ν) = 300 Hz, wavelength (λ) = 3×10⁸/300 = 1×10⁶ m.
4. Frequency (ν) = 400 Hz, wavelength (λ) = 3×10⁸/400 = 0.75×10⁶ m.

Correct answer: Frequency (ν) = 100 Hz, wavelength (λ) = 3×10⁸/100 = 3×10⁶ m.

Solution

The formula v = νλ relates the speed of a wave (v), its frequency (ν), and its wavelength (λ). Substituting ν = 100 Hz and v = 3×10⁸ m/s, we get λ = 3×10⁸ / 100 = 3×10⁶ m, which matches option A.

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