A floating object oscillates up and down two complete cycles in 1 s as a water wave of wavelength 5 m passes by. The speed of the wave is
A)2 m/s.
B)5 m/s.
C)10 m/s.
D)15 m/s.
E)none of the above

Question

Quizplus · Accepted Answer

The speed of a wave is given by the formula $v = f\lambda$, where $v$ is the speed of the wave, $f$ is the frequency, and $\lambda$ is the wavelength. Here, the object completes 2 cycles per second, so the frequency $f = 2 \, \text{Hz}$, and the wavelength $\lambda = 5 \, \text{m}$. Thus, $v = 2 \times 5 = 10 \, \text{m/s}$.

A Floating Object Oscillates Up and Down Two Complete Cycles