A wave traveling in the +x direction with amplitude A, angular frequen…

Question

A wave traveling in the +x direction with amplitude A, angular frequency ω and wavenumber k has displacement given by

Accepted Answer

A. {'text': 'y(x,t) = A sin(kx − ωt)', 'label': 'A'}

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: NCERT Class 11 Physics, Ch 14 "Waves", §14.3_

Answer

{'text': 'y(x,t) = A sin(kx + ωt)', 'label': 'B'}

Answer

{'text': 'y(x,t) = A cos(k × ω × t)', 'label': 'C'}

Answer

{'text': 'y(x,t) = A × ω × t', 'label': 'D'}