Practice question

**Sinusoidal wave form** represents harmonic wave where each particle executes SHM. Coefficients of x and t give spatial and temporal periodicities, allowing wavelength and period extraction, basis for wave analysis in NCERT. ω = (2π/T) = (2π/0.025) = 80π rad/s . Max speed: vₘₐₓ = a ω = 0.04 × 80π ≈ 10.05 m/s . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 10 m/s, illustrating frequency-length-speed interdependence and quantization by boundaries.