The speed of a wave is 2 m/8, and its wavelength 0.4 meters. What is the period of the wave?(1 point)
Which of the following is the best choice?
a) 0.2 seconds
b) 2 seconds
c) 0.8 seconds
d) 5 seconds
The correct answer is:
c) 0.8 seconds
The speed of a wave (v) is equal to its wavelength (λ) multiplied by its frequency (f):
v = λf
We know the speed of the wave (v) and its wavelength (λ), so we can rearrange the equation to solve for frequency (f):
f = v/λ
Substituting the given values:
f = 2 m/8 / 0.4 meters = 0.5 Hz
The period (T) of a wave is the inverse of its frequency:
T = 1/f
Substituting frequency:
T = 1/0.5 Hz = 2 seconds
Therefore, the correct answer is (b) 2 seconds.