KHAEMENES ACADEMY · PHYSICS 12 · WEEK 24 · DAY 03

Superposition, Reflection & Standing Waves

How do disturbances carry energy without transporting matter over long distances?

Explicit physics instruction

When waves overlap, their displacements add. Constructive interference increases resultant amplitude; destructive interference reduces it.

Reflection can invert a pulse depending on the boundary condition.

Standing waves arise from interference between oppositely traveling waves and contain nodes and antinodes.

Core relation: v=fλ.

Worked example

Two identical upward pulses overlap completely, producing twice the displacement at that instant; an equal upward/downward pair can cancel momentarily.

Guided question

What distinguishes a node from an antinode in a standing wave?

Independent work

  1. Solve three wave-speed or wavelength questions.
  2. Sketch one interference case.
  3. State one medium/source assumption.

Misconception check

Matter in the medium does not generally travel with the wave over long distances; the disturbance and energy propagate.

Formative check

If speed is constant and frequency doubles, what happens to wavelength?

Reveal response

It halves.

Mentor evidence conference

Ask Archaemenes to audit units, medium assumptions, and superposition reasoning.

Teacher guidance

Foundation: Calculate with v=fλ.

Core: Interpret interference and standing-wave diagrams.

Extended: Evaluate residuals and boundary-condition effects.