Question

the speed of a wave is 4 \\(\frac{m}{s}\\), and its wavelength is 2 meters. what is the period of the wave? (1 point)
\\(\circ\\) .8 seconds
\\(\circ\\) .5 seconds
\\(\circ\\) 2 seconds
\\(\circ\\) .2 seconds

Explanation:

Step1: Recall wave formula

The formula relating wave speed ($v$), wavelength ($\lambda$), and frequency ($f$) is $v = \lambda f$. Also, period ($T$) and frequency are related by $f = \frac{1}{T}$, so we can rewrite the wave formula as $v = \frac{\lambda}{T}$, and solve for $T$: $T=\frac{\lambda}{v}$.

Step2: Substitute values

Given $v = 4\frac{m}{s}$ and $\lambda = 2\ m$. Substitute into the formula: $T=\frac{2\ m}{4\ \frac{m}{s}}$.

Step3: Calculate period

Simplify the expression: $\frac{2}{4}= 0.5$ seconds.

Answer:

.5 seconds