OSCILLATIONS AND WAVES OBJECTIVE 11

Match: (a) → (q)

Profile (q): Slow Center, Fast Banks

Physics: Since the water is slow in the center, the relative speed is high, creating a narrow angle at the nose. As the wave moves to the banks where water is fast, the relative speed drops, causing the angle to widen (flare out).

Result: A concave, trumpet-like shape.

Match: (b) → (p)

Profile (p): Fast Center, Slow Banks

Physics: The water is fast in the center, making relative speed low and the wake angle wide (blunt) at the nose. Near the banks, the water is slow, relative speed increases, and the wake narrows.

Result: A convex, bullet-like shape.

Match: (d) → (r)

Profile (r): Increasing Top to Bottom

Physics:
• Top (Slow Water): Narrow wake angle.
• Bottom (Fast Water): Wide wake angle.

Result: Look at Pattern (d). The top wake line is narrow (closer to axis). The bottom wake line is wide (flaring out). This matches.

Match: (c) → (s)

Pattern (c): Wide Top, Narrow Bottom

Physics: Pattern (c) shows the opposite of (d): the top is wide, and the bottom is narrow. This would require the water to be Fast at the Top and Slow at the Bottom.

Result: None of the given profiles (p, q, r) show this “Decreasing” velocity. Thus, it matches (s).