The speed of the longitudinal waves along the spring is 1.5 m/s.
The wavelength of the longitudinal waves produced when the free end is moved to and fro is 0.6 m.
<h3>What is wavelength?</h3>
The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.
Wavelength λ = c/f
where c is the speed of light in vacuum = 3*10⁸ m/s
A slinky spring 3m long rests on a horizontal bench with one end fixed. When the free end is suddenly pushed forward, the compression pulse travels to the fixed end and back in 2 secs.
λ = v/f
v =fλ =λ /T where T is the time period = 2sec
Put the values we get
v = 3/2 =1.5 m/s
Thus, the speed of wave is 1.5 m/s.
Using the same expression for frequency 2.5Hz, wavelength is
λ = v/f
λ = 1.5 /2.5 = 0.6 m
Thus, the wavelength is 0.6m.
Learn more about wavelength.
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