Question
The speed of a wave is 2m/s , and its wavelength 0.4 meters. What is the period of the wave? Remember that period is not the same as frequency.(1 point)
Responses
2 seconds
2 seconds
0.8 seconds
0.8 seconds
0.2 seconds
0.2 seconds
5 seconds
Responses
2 seconds
2 seconds
0.8 seconds
0.8 seconds
0.2 seconds
0.2 seconds
5 seconds
Answers
GPT-4o mini
To find the period of the wave, we first need to determine the frequency using the wave speed and wavelength. The relationship between wave speed (v), frequency (f), and wavelength (λ) is given by the equation:
\[ v = f \cdot \lambda \]
Given that the speed of the wave (v) is 2 m/s and the wavelength (λ) is 0.4 meters, we can rearrange the equation to find the frequency:
\[ f = \frac{v}{\lambda} = \frac{2 \, \text{m/s}}{0.4 \, \text{m}} = 5 \, \text{Hz} \]
Now that we have the frequency, we can find the period (T), which is the reciprocal of the frequency:
\[ T = \frac{1}{f} = \frac{1}{5 \, \text{Hz}} = 0.2 \, \text{seconds} \]
Thus, the period of the wave is **0.2 seconds**.
\[ v = f \cdot \lambda \]
Given that the speed of the wave (v) is 2 m/s and the wavelength (λ) is 0.4 meters, we can rearrange the equation to find the frequency:
\[ f = \frac{v}{\lambda} = \frac{2 \, \text{m/s}}{0.4 \, \text{m}} = 5 \, \text{Hz} \]
Now that we have the frequency, we can find the period (T), which is the reciprocal of the frequency:
\[ T = \frac{1}{f} = \frac{1}{5 \, \text{Hz}} = 0.2 \, \text{seconds} \]
Thus, the period of the wave is **0.2 seconds**.