Question

What is the expression of progressive hormonic waves ​

Answer 1

Answer:

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Explanation:

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Answer 2

Let us consider a wave

originating at O as shown in figure, and is travelling along +X -axis. the instantaneous simple harmonic displacement of a particle at position O is y=Asin(ωt)

where, A is the amplitude, ω is the angular velocity.

Consider a particle P at a distance x from the particle O on its right. Let the wave travel with a velocity v from left to right. Since it takes some time for the disturbance to reach P, its displacement can be written as y=Asin(ωt−ϕ)

where, ϕ is the phase lag of the particle. This phase lag goes on increasing with increase in distance from O. If λ be the wavelength, then λ=2π. Thus, a path difference of x corresponds to a phase difference

2π

ϕ

=

λ

x

ϕ=

λ

2πx

Therefore,

y=Asin(ωt−

λ

2πx

)

y=Asin(ωt−kx) .........................(since, k=

λ

2π

is propagation constant