A stretched string of length 1.5 m, fixed at both ends, emits a note of 450 Hz which is known to be its sixth harmonic.
Another pipe of unknown boundary conditions produces resonances at 450 Hz and 750 Hz but not at 600 Hz.
(i) Determine the fundamental frequency of the string and the speed of transverse waves on it.
(ii) Using only the information given, decide whether the pipe is open at both ends or closed at one end. State the fundamental frequency of the pipe.
(iii) For the 750 Hz resonance of the pipe, state its harmonic number and sketch the stationary‐wave profile along the pipe, clearly marking all nodes and antinodes.
a. Find the string’s fundamental frequency and wave speed.
b. Identify the pipe type and its fundamental frequency.
c. State the harmonic number for 750 Hz and sketch the displacement profile.