Question

You are playing a note that has a fundamental frequency of 466.16 Hz on a guitar string of length 59.9 cm. At the same time, your friend plays a fundamental note on an open organ pipe, and 4.0 beats per seconds are heard. The mass per unit length of the string is 1.85 g/m. Assume the velocity of sound is 343 m/s.

a) What are the possible frequencies of the open organ pipe?

b) When the guitar string is tightened, the beat frequency decreases. Find the original tension in the string.

c) What is the length of the organ pipe?