Practice question

**Energy transport** in waves scales with amplitude squared A² and frequency squared ω². Wave speed determines propagation rate, and understanding T and μ allows quantitative prediction of v and associated frequencies. μ = (0.05/2.5) = 0.02 kg/m . v = √((T/μ)) ⇒ 100 = √((T/0.02)) ⇒ 100² = (T/0.02) . T = 10000 × 0.02 = 200 N . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 200 N, illustrating frequency-length-speed interdependence and quantization by boundaries.