Skip to content
Login Register

#wave phase

3 public questions tagged with this topic.

Wave Equation and Displacement Relation

What is the phase difference between two particles separated by half a wavelength in a progressive wave?

**Displacement relation** encodes λ = 2π/k and f = ω/2π. Comparing given equation y = a sin(kx - ωt) with standard form yields k and ω, hence λ = 2π/k and v = ω/k, essential for identifying propagation characteristics and phase. For a progressive wave y = a sin(kx - ω t) , the phase is kx - ω t . If two particles are separated by λ/2 , then Δ x = λ/2 , and k = (2π/λ) , so Δ Φ = k Δ x = (2π/λ) × (λ/2) = π radians. Using v = fλ and standing-wave condition fₙ = n v/(2L)

Ref: NCERT > Physics Book > Waves > Wave Equation and Displacement Relation

View Details
Transverse and Longitudinal Waves

In a progressive wave, what is the phase relationship between two points separated by one full wavelength?

**Wave classification** depends on particle vibration relative to propagation. Longitudinal waves have particle oscillation parallel to propagation, creating compressions and rarefactions as in sound in air; transverse have perpendicular oscillation. Tuning fork generates longitudinal sound because air cannot sustain shear. For a progressive wave, phase difference Δ Φ = k Δ x , where k = (2π/λ) . If Δ x = λ , then Δ Φ = (2π/λ) × λ = 2π , meaning they are in phase. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields In phase, illustrating frequency

Ref: NCERT > Physics Book > Waves > Transverse and Longitudinal Waves

View Details
Superposition and Interference of Waves

What is the condition for maximum constructive interference between two waves?

**Interference of waves** produces enhancement or cancellation based on phase. Two equal amplitude waves out of phase by π cancel completely, A = 0, while in-phase superposition doubles amplitude to 2a, demonstrating energy redistribution without violation of conservation. Maximum constructive interference occurs when the phase difference is zero or a multiple of 2π , aligning crests with crests for maximum amplitude. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Phase difference of zero, illustrating frequency-length-speed interdependence a

Ref: NCERT > Physics Book > Waves > Superposition and Interference of Waves

View Details