A uniform string of length L is fixed at both ends and supports stationary transverse waves. Which statements are correct for its nth harmonic?
Select all that apply

Question

A uniform string of length L is fixed at both ends and supports stationary transverse waves. Which statements are correct for its nth harmonic?

G1 Physics · Accepted Answer

For a fixed-fixed string, L = nλₙ/2. Hence, λₙ = 2L/n. Therefore, fₙ = v/λₙ = nv/(2L). The nth harmonic has n loops, so it has n antinodes and n+1 nodes including the two ends. Therefore all four statements are correct.