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

Question

Quizplus · Accepted Answer

The speed of the wave is calculated using the formula $v = f\lambda$, where $v$ is the speed of the wave, $f$ is the frequency, and $\lambda$ is the wavelength. Given that the object completes 2 cycles per second, 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 2 Complete Cycles