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 of sound in a gas is v = √((gamma P/rho)) . The ratio gamma (specific heats) influences v more than rho alone, as P/rho relates to temperature, but gamma varies with molecular structure. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Ratio of specific heats, illustrating frequency-length-speed interdependence and quantization by boundaries.