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. Compare with y = a sin (kx - ω t) , k = 45 rad/m , ω = 90 rad/s . Speed: v = (ω/k) = (90/45) = 2 m/s . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 2 m/s, illustrating frequency-length-speed interdependence and quantization by boundaries.