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you know the velocity of propagation: .65m/50sec
frequency*lambda=velocity
frequency*lambda=velocity
v = 位 / T
where:
v is the speed of the wave,
位 is the wavelength, and
T is the period of the wave.
First, let's determine the speed of the wave. We know that the wave took 50 seconds to reach the cork, which is a distance of 65 cm. The speed of the wave can be calculated as:
v = d / t
v = 65 cm / 50 s
v = 1.3 cm/s
Now, we can substitute the values into the wavelength formula:
1.3 cm/s = 位 / 3.8 s
Rearranging the equation to solve for the wavelength, we have:
位 = v * T
位 = 1.3 cm/s * 3.8 s
位 = 4.94 cm
Therefore, the wavelength of the water waves produced by the vibrator is approximately 4.94 cm.