An observer standing near the sea shore observes 54 waves per minute. If the wavelength of the water wave is 10m then the velocity of water wave is:
Correct answer: B. 9 m/s
- A. 540 m/s
- B. 9 m/s
- C. 5.4 m/s
- D. None
Explanation
Frequency (f) = 54 waves per minute.Wavelength (λ) = 10 meters.The velocity (v) of a wave is given by the formula:v = f * λSubstitute the values:v = (54 waves/minute) * (10 meters/wave)First, convert the frequency from waves per minute to waves per second:1 minute = 60 secondsf = 54 waves/minute = (54 waves/minute) * (1 minute/60 seconds) = 0.9 waves/secondNow, calculate the velocity:v = (0.9 waves/second) * (10 meters/wave) = 9 meters/secondSo, the velocity of the water wave is 9 m/s.The correct option is B: 9 m/s.
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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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