Wave Phenomena — Syllabus
NIOS · Class 12 · Physics
What Wave Phenomena covers in NIOS Class 12 Physics: 4 topics, for the 2026-27 session. Part of the NIOS Class 12 Physics syllabus.
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Topics in Wave Phenomena
Wave Propagation – Types and Basic Concepts
- A wave is a disturbance that propagates through a medium (or vacuum for EM waves) carrying energy without transporting matter.
- Transverse waves: particles vibrate perpendicular to the direction of wave propagation. Example: waves on a stretched string, light waves.
- Longitudinal waves: particles vibrate parallel to (along) the direction of wave propagation. Example: sound waves in air.
Equation of a Simple Harmonic Wave
- For a wave moving in the +x direction, the displacement at position x and time t is: y(x,t) = a sin(ωt − kx).
- Here, a = amplitude, ω = angular frequency, k = wave number.
- The equation can also be written as: y = a sin 2π(t/T − x/λ) or y = a sin(2π/λ)(vt − x).
Velocity of Sound – Newton's Formula and Laplace's Correction
- Newton assumed sound propagation in air is ISOTHERMAL (temperature constant). His formula: v = √(P/ρ).
- At STP: P = 1.01 × 10⁵ N/m², ρ = 1.29 kg/m³. Newton's value: v ≈ 280 m/s. Experimental value: 333 m/s. Error ≈ 16%.
- Laplace's correction: Sound propagation is ADIABATIC (rapid compressions and rarefactions; air is a poor heat conductor). Corrected formula: v = √(γP/ρ), where γ = Cₚ/Cᵥ.
Principle of Superposition and Interference
- Principle of Superposition: When two or more waves overlap, the resultant displacement at any point is the vector sum of individual displacements.
- This principle explains interference, beats, and stationary waves.
- Waves pass through each other independently — they do not permanently alter each other.
Key Concepts
Central concept: Wave Phenomena
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