Question

What is the phase ϕ(x,t) of the wave? Express the phase in terms of one or more given variables (A, k, x, t, and ω) and any needed constants like π. Throughout this problem, be sure to use 'k' instead of the greek letter 'κ' (kappa), and the greek letter 'ω' instead of 'w'.

Answer 1

Answer:

ϕ (x,t) = 2πx/¶

Explanation:

According to mathematical representation of wave equation

y(x,t) = Asin (ωt-ϕ)

where ω is the angular velocity of the wave

ϕ is the phase angle

t is the time taken

ϕ depends on the horizontal displacement and wavelength of the wave. Therefore,

ϕ= kx... (1)

where k =2π/¶... (2)

Taking ¶ as the wavelength

Substituting equation 2 into 1

ϕ(x,t)= 2πx/¶