A string of length 0.90 m, fixed at both ends, has its first two resonant frequencies at 180 Hz and 360 Hz. A pipe of length 0.75 m resonates at 300 Hz and 500 Hz but shows no resonance at 400 Hz.
(a) Identify the pipe type and its fundamental frequency.
(b) Assign harmonic numbers to 300 Hz and 500 Hz.
(c) Compute the speed of sound in air.
(d) Find the beat frequency between the specified notes.