A closed organ pipe vibrates in its second overtone. The pipe length is 10 cm and the maximum particle-displacement amplitude is 2 mm. Find the SHM amplitude of particles 9 cm from the open end.
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A closed organ pipe vibrates in its second overtone. The pipe length is 10 cm and the maximum particle-displacement amplitude is 2 mm. Find the SHM amplitude of particles 9 cm from the open end.

G1 Physics · Accepted Answer

Step 1: Open-open pipe: fₙ = nv/(2effective length). Closed-open pipe: fₙ = (2n-1)v/(4effective length). Step 2: Include end correction in effective length where stated; successive resonances differ by λ/2. Step 3: Apply the harmonic/resonance condition. Final: B: 2 mm.