Which statement describes density-velocity relationship as presented?

• A. Denser material implies faster velocity
• B. Denser material implies slower velocity
• C. Velocity independent of density
• D. Velocity depends on temperature only

Answer: (A)

The main idea is that how fast a disturbance travels through a material depends on how stiff the material is relative to its inertia. In the scenario described, increasing density comes with a corresponding increase in the material’s stiffness (the stress-carrying ability), so the ratio of stiffness to mass density grows and the wave speed goes up. That’s why a denser material is described as having faster velocity in this context—the presented relationship assumes a positive link between density and the material’s ability to transmit a wave quickly.

The other statements don’t fit because they either ignore the density effect, claim velocity depends only on temperature, or state the opposite (that higher density slows the wave). In short, within the given presentation, density and stiffness cooperate to yield faster wave propagation, making the denser-material statement the best fit.