Determine la longitud de una onda, sabiendo que esta se desplaza con una velocidad de 20 m/seg en un período de 5 seg.Seleccione una:a.100Hzb.100 mc.10 md.20 m

1. Break Down the Problem

To determine the wavelength ($\lambda$) of the wave, we can use the relationship between wave speed ($v$), frequency ($f$), and wavelength: $v = f \cdot \lambda$ Where:

• $v$ = wave speed (20 m/s)
• $f$ = frequency (to be determined)
• $\lambda$ = wavelength (to be determined)

First, we need to find the frequency using the period ($T$): $f = \frac{1}{T}$

2. Relevant Concepts

• The period of the wave is given as 5 seconds.
• The frequency can be calculated as: $f = \frac{1}{5} \text{ Hz}$

3. Analysis and Detail

1. Calculate the frequency: $f = \frac{1}{5} = 0.2 \text{ Hz}$

2. Now substitute the values of $v$ and $f$ into the wave equation to find $\lambda$: $\lambda = \frac{v}{f} = \frac{20 \text{ m/s}}{0.2 \text{ Hz}} = 100 \text{ m}$

4. Verify and Summarize

The calculations show that the wavelength is 100 m. This matches one of the multiple-choice options.

Final Answer

The wavelength is $\lambda = 100 \text{ m}$ (Option a: 100 m).