The relationship between velocity (v), wavelength (w) and frequency (f) is expressed as:
v = w f
Plugging in the given values into the equation:
v = 0.643 m (3.25 e 10 Hz)
Where Hz = 1 / s , therefore:
v = 0.643 m (3.25 e 10 / s)
v = 2.09 e 10 m / s
Taking into account the definition of wavelength, frecuency and propagation speed, the velocity of waves having wavelength 0.643 m and frequency 3.25 e 10 Hz is 2.09 e 10 m/s.
Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation: v = f×λ
In this case, you know:
Replacing in the definition of propagation speed:
v= 3.25 e 10 Hz× 0.643 m
Solving:
v= 2.09 e 10 m/s
Finally, the velocity of waves having wavelength 0.643 m and frequency 3.25 e 10 Hz is 2.09 e 10 m/s.
Learn more about wavelength, frecuency and propagation speed:
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