Practice question

**Wave speed on string** is v = √(T/μ), T tension (N), μ = m/L linear mass density (kg/m). Higher T increases restoring force raising speed, heavier μ lowers speed. Frequency follows f = v/λ, linking mechanical properties to wave dynamics and harmonic series. Speed: v = √((T/μ)) = √((120/0.015)) = √(8000) ≈ 89.44 m/s . Wavelength: λ = (v/v) = (89.44/50) ≈ 1.79 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 1.8 m, illustrating frequency-length-speed interdependence and quantization by boundaries.