alleryA wave traveling in the +x direction with amplitude A, angular frequency ω and wavenumber k has displacement given by
Ay(x,t) = A sin(kx − ωt)
By(x,t) = A sin(kx + ωt)
Cy(x,t) = A cos(k × ω × t)
Dy(x,t) = A × ω × t
Answer & Solution
Correct answer: A. y(x,t) = A sin(kx − ωt)
1. A progressive wave along +x is represented by a function of (kx − ωt).
2. Standard form: y(x, t) = A sin(kx − ωt + φ), where φ is a phase constant.
3. A wave traveling in the −x direction has argument (kx + ωt) instead.
4. k is the wavenumber (rad/m) and ω is the angular frequency (rad/s).
_Source: syllabus Physics, Ch 14 "Waves", §14.3_
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