• A standing wave is made up?nodes?and?antinodes
  • Nodes?are locations of?zero amplitude?and they are?separated by half a wavelength?(λ/2)
  • Antinodes?are locations of?maximum amplitude

• The nodes and antinodes?do not?move along the wave
  • Nodes are fixed and antinodes only oscillate in the vertical direction

Nodes and antinodes of a stationary wave of wavelength λ on a string of length L at a point in time?

The Formation of Nodes and Antinodes

• Nodes are formed as a result of destructive interference
  • The amplitude of both waves cancel out
• Antinodes are formed as a result of constructive interference
  • The amplitude of both waves add together

Nodes and antinodes are a result of destructive and constructive interference respectively

• At the?nodes:
  • The waves are in anti-phase meaning destructive interference occurs
  • This causes the two waves to cancel each other out

   

• At the?antinodes:
  • The waves are in phase meaning constructive interference occurs
  • This causes the waves to add together

Phase on a Standing Wave

• Two points on a standing wave are either?In Phase
  • Points that have an?odd?number of nodes between them are in?anti-phase
  • Points that have an?even?number of nodes between them are?in phase
  • All points within a?"loop"?are?in phase

Points A, B and D are all in phase. While points A and D are in antiphase with point C

ANSWER:?C