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. The speed of a transverse wave is v = √((T/μ)) . If tension T doubles, v' = √((2T/μ)) = √(2) × v , increasing by a factor of √(2) (approximately 1.414). Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Increases by a factor of √(2), illustrating frequency-length-speed interdependence and quantization by boundaries.