The wavelength ' λ' of a wave depends on the speed 'v' of the wave and its frequency 'f'. Decide which of the following is correct?
Correct answer: C. f = v/λ
- A. f = v λ
- B. f = λ/v
- C. f = v/λ
- D. f = vλ2
Explanation
The relationship between wave speed (v), frequency (f), and wavelength (λ) is given by the equation v = fλ. This means that the speed of a wave is the product of its frequency and wavelength. To solve for frequency, we rearrange the equation to f = v/λ, which aligns with the units of frequency (hertz) being equal to units of speed (meters per second) divided by units of wavelength (meters). The other options are incorrect because they do not correctly rearrange the wave equation or follow dimensional analysis.
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About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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