The wavelength of the interfering waves is 3.14 m.
<h3>Calculation:</h3>
The general equation of a standing wave is given by:
y = 2A sin (kx) cos (ωt) ......(1)
The given equation represents the standing wave produced by the interference of two harmonic waves:
y = 3 sin (2x) cos 5t .......(2)
Comparing equations (1) and (2):
k = 2
We know that,
k = 2π/λ
λ = 2π/k
λ = 2 (3.14)/ 2
λ = 3.14 m
Therefore, the wavelength of the interfering waves is 3.14 m.
I understand the question you are looking for is this:
Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin (2x) cos 5t where x is in m and t is in s. What is the wavelength of the interfering waves?
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Answer:
Explanation:
Discussion
The top picture should be obvious. The rope is tied at one end. The person holding it provides energy in the form of vibrations moving up and down the way the diagram is shown. The wave can also be created by the rope moving sideways.
The bottom picture is much harder. T energy is provided by the forefinger. It has to move. If you just stick your finger in the water, all that will happen is that you will move some water (very little in the scheme of things.
So the energy is provided by a moving forefinger.
T<span>he relationship between wavelength and frequency is inverse.
This is as the wavelength increases the frequency decreases and as the wavelength decreases the frequency increases.
The light meets this equation that reflects the relationship between wavelength and frequency:
c = wavelength * frequency => wavelength = c / frequency
where c is the constant speed of light.
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Answer:
Its a MAGNETIC FIELD that can let a magnet attracts more iron dusts
