A uniform rope having some mass hangs vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed (v) of the wave pulse varies with height (h) from the lower end as:
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Question

A uniform rope having some mass hangs vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed (v) of the wave pulse varies with height (h) from the lower end as:

Options

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: C: Option C.