THE PRACTICE STUDIO

Go slowly. Ask why. Make it yours.

PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / String harmonics

Adjacent resonances reveal the fundamental

A uniform taut string fixed at both ends shows two adjacent resonance frequencies of 360 Hz and 480 Hz.

How many displacement antinodes are present in the 480 Hz mode?

Organize the givens & assumptions
  • Adjacent resonances: 360 Hz and 480 Hz
  • Both ends fixed

Ideal uniform string, negligible stiffness and damping; no resonance is skipped between the two stated peaks.

  1. A55
  2. B44
  3. C33
  4. D22

Try it on paper first. Free sample problems in every collection include the complete reasoning: find one in this collection →