You hear sound from two organ pipes that are equidistant from you. Pipe A is open at one end and closed at the other, while pipe B is open at both ends. When both are oscillating in their first-overtone mode, you hear a beat frequency of 5.0 Hz. Assume normal room temperature.
(a) If the length of pipe A is 1.00 m, calculate the possible lengths of pipe B.
(b) Assuming your shortest length for pipe B, what would the beat frequency be (assuming both are still in their first-overtone modes) on a hot desert summer day with a temperature of 40°C?