Figure (i) shows the wave snapshot at t = T/4 and figure (ii) shows the motion of the particle at x = λ/4. Here T = 2π/ω. Which wave equation(s) are possible?

Question

G1 Physics · Accepted Answer

Step 1: Compare with y = A sin(ωt ± kx + φ): f = ω/(2π), λ = 2π/k and wave speed v = ω/k. Step 2: The sign of kx fixes the propagation direction; particle motion follows ∂y/∂t. Step 3: Apply these to the given coefficients. Final: D: Both y = A sin(ωt + kx - π/2) and y = A sin(ωt - kx + π/2).