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Sidana [21]
2 years ago
15

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y

Physics
1 answer:
AnnyKZ [126]2 years ago
5 0

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?

Learn more about interfering waves here:

brainly.com/question/2910205

#SPJ4

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