Adding two waves: in phase (path difference 2λ) and out of phase (2.5λ)दो तरंगों का योग: समान कला (पथांतर 2λ) और विपरीत कला (2.5λ)Adding two waves: in phase (path difference 2λ) and out of phase (2.5λ)

NCERT Fig 10.9 · Class 12 Physics · Chapter 10 · interactive diagram

Parts and what they mean

• Wave from S₁ at the point (बिंदु पर S₁ से तरंग) — Displacement y₁ = a cos ωt.
• Wave from S₂ at the point (बिंदु पर S₂ से तरंग) — Path difference 2λ ⇒ phase difference 4π ⇒ same as y₁. Path difference 2.5λ ⇒ phase difference 5π ⇒ y₂ = −a cos ωt.
• Constructive interference (संपोषी व्यतिकरण) — Resultant amplitude 2a. Intensity ∝ amplitude², so I = 4I₀ (not 2I₀!).
• Destructive interference (विनाशी व्यतिकरण) — Crest meets trough everywhere: the displacements cancel, I = 0.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 10.9. Report a mistake