The speed of surface waves in deep water is given by v = gT/2π. What is the wavelength of a wave that has a period of 3.00 s?
A) 4.68 m
B) 29.4 m
C) 14.1 m
D) 44.1 m
E) 39.4 m

Question

Quizplus · Accepted Answer

The formula for the wavelength of a wave is given by λ = vT, where v is the speed of the wave and T is its period. Substituting the given values, we get:
λ = (gT/2π) × T = gT²/2π
λ = (9.81 m/s²) × (3.00 s)²/ (2π) = 14.1 m
Hence, the wavelength of the wave is 14.1 m.

Therefore, the best choice is C only.

The Speed of Surface Waves in Deep Water Is Given