The speed of a wave is 2ms
, and its wavelength 0.4 meters. What is the period of the wave?(1 point)
Responses
2 seconds
2 seconds
0.2 seconds
0.2 seconds
0.8 seconds
0.8 seconds
5 seconds
The period of a wave is the time it takes for one complete cycle to occur. It is given by the formula:
Period = 1 / Frequency
Since the speed of the wave (v) is equal to the product of the wavelength (λ) and the frequency (f):
v = λf
We can rearrange the equation to solve for the frequency:
f = v / λ
Plugging in the given values:
f = 2 ms / 0.4 meters
f = 5 Hz
Therefore, the period of the wave is:
Period = 1 / 5 Hz
Period = 0.2 seconds
So, the correct answer is: 0.2 seconds.