Answer:
The wave length of the string = 10 cm or 0.1 m
Explanation:
Wave: A wave can be defined as a disturbance, which travels through a medium and transfer energy from one point to another, without causing any permanent displacement of the medium itself.
The velocity, frequency and wavelength of a wave is related as shown,
v = λf ........................ Equation 1
Where v = velocity of the wave, λ = wave length, f = frequency.
λ = v/f ..................... Equation 2.
Given: v = 10 cm/s,
T = 2t, where t = 0.5 s, (This is half of one cycle)
T = 2×0.5 = 1 s,
But T = 1/f = 1/1 = 1 Hz.
Substituting these values into equation 2
λ = 10(1)
λ = 10 cm. or 0.1 m
Thus the wave length of the waves = 10 cm or 0.1 m