Answer:
1.714 s
Explanation:
The equation of a moving wave,
v = λf.................................. Equation 1
Where v = velocity of the wave, λ = wave length of the wave, f = frequancy of the wave,
Given: λ = 1.0 m, f = 3.5 Hz.
Substitute into equation 1
v = 1.0(3.5)
v = 3.5 m/s.
From motion,
velocity = distance/time.
v = d/t
t = d/v................................. Equation 2
Where distance of the elastic chord from the wall, t = time taken to travel to the other end.
Given: d = 3.0 m, v = 3.5 m/s
Substitute into equation 2
t = 3.0/3.5
t = 0.857 s.
Note: for the wave to form a standing wave, it has to travel twice.
Thus,
Time taken for standing wave to fill the entire length of the string = 2t
= 2×0.857
1.714 s
