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What is the speed in meters per second of a deep water wave with a wavelength of 6.5 meters?

a) 0.88 m/s
b) 1.76 m/s
c) 3.53 m/s
d) 7.05 m/s

User Emre AYDIN
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1 Answer

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Final answer:

The speed of the deep water wave cannot be accurately determined without additional information such as the frequency or the period of the wave. The formula to use is velocity (v) equals the wavelength (λ) multiplied by the frequency (f), but only the wavelength is provided in this case.

Step-by-step explanation:

The speed of a deep water wave can be calculated using the wave speed formula, which is velocity (v) equals the wavelength (λ) multiplied by the frequency (f), or v = λ * f. To find the speed of a wave with a wavelength of 6.5 meters without a given frequency, we would need additional information, such as the period of the wave to find the frequency first. As we don't have the wave period, we can't calculate the exact speed of the wave for the answer provided. However, from the reference information given, we can see that waves follow this principle to determine their speed like the example where the wave velocity is determined by the wavelength and frequency provided (2 m wavelength with a 5 Hz frequency leads to a 10 m/s velocity).

User Taymour
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