Transverse wave pulse displacement for a rope particle

Steps:

• Wave pulse approaches particle P, causing initial upward displacement as leading edge passes.
• Displacement reaches maximum when pulse crest aligns with P.
• Displacement decreases as trailing edge passes P.
• Displacement returns to zero after pulse fully passes, showing single pulse shape.

Why D is correct:

• D depicts a single positive displacement pulse versus time, consistent with transverse wave definition where particles oscillate perpendicularly once per passing pulse.

Why the others are wrong:

• A shows periodic sine wave, indicating continuous wave, not single pulse.
• B shows inverted (negative) pulse, opposite to shown wave direction.
• C shows steady displacement, implying no wave motion.

Final answer: D