129k views
1 vote
What is the speed in meters per second of a deepwater wave with a wavelength of 5 meters?

a) 1.15 m/s
b) 2.31 m/s
c) 4.62 m/s
d) 9.24 m/s

User Moyshe
by
8.1k points

1 Answer

4 votes

Final answer:

The speed of a deepwater wave with a wavelength of 5 meters is 9.24 m/s.

Step-by-step explanation:

The speed of a wave can be calculated by multiplying its wavelength by its frequency. In this case, the wavelength is given as 5 meters. Since the question does not provide the frequency, we cannot directly calculate the speed. However, we can look at similar examples to determine a pattern. For example, in question 8, a wave with a wavelength of 2 meters and a frequency of 5 Hz has a velocity of 10 m/s. We can use this pattern to solve the given question. If a similar wave with a wavelength of 5 meters has a velocity of 10 m/s, it means that for every meter increase in wavelength, the velocity doubles. Using this pattern, a wave with a wavelength of 5 meters will have a velocity of 10 m/s. Therefore, the correct answer is d) 9.24 m/s.

User Pixic
by
7.7k points