Respuesta :
- The frequency is given as 4 Hz
- The period is 0.25 s
- The speed of the wave is 12 m / s.
Explanation:
- The frequency is the oscillation of a wave or the repeated cycles that occur over a some time. It is inversely proportional to the time.
- The frequency of a wave is given in the question as 4 cycles / 1 s = 4 Hz.
- The period is the time required for one complete vibration of the cycle passed to a given point. It is inversely proportional to the frequency.
Period T = 1 / F
= 1 / 4
T = 0.25 s.
- The speed of the wave is defined as the product of frequency and wavelength. It is given as c = f [tex]\times[/tex] λ.
where c represents the speed of a wave,
f represents the frequency,
λ represents the wavelength.
c = f [tex]\times[/tex] λ
= 4.0 [tex]\times[/tex] 3.0
c = 12 m / s.
For the oscillating wave, the frequency of the wave is 4 Hz, the period of the wave is 0.25 seconds and speed of the wave is 12 m/s.
What is the wavelength of the wave?
Wavelength is the distance between two points of the two consecutive waves. It can be given as,
[tex]\lambda=\dfrac{s}{f}[/tex]
Here (s) is the speed of the wave and (f) is the frequency.
The oscillation of the wave is 4.0 times in a second and has a wavelength of 3.0 m.
The frequency of the wave,
The frequency of the wave is the ratio of number of times of oscillation per unit time. Here, the oscillation of the wave is 4.0 times in a second. Therefore,
[tex]f=\dfrac{4}{1}\\f=4\rm Hz[/tex]
The period of the wave,
The period of the wave is the reciprocal of the frequency of the wave. Therefore, the period of the wave is,
[tex]T=\dfrac{1}{f}\\T=\dfrac{1}{4}\\T=0.25\rm s[/tex]
The speed of the wave is,
The wavelength of the wave is 3.0 m and the frequency of the wave is 4 Hz. Thus, put the value in the above formula to find the speed of the wave as,
[tex]3=\dfrac{s}{4}\\s=12\rm m/s[/tex]
Hence, for an oscillating wave, the value of the frequency, period, and speed of the wave is,
- a) The frequency of the wave is 4 Hz.
- b) The period of the wave is 0.25 seconds.
- c) The speed of the wave is 12 m/s.
Learn more about the wavelength here;
https://brainly.com/question/10728818
