There are two identical organs with pipes having fundamental frequencies of 264.0 Hz at 20°C. One organ is located at the front of the auditorium where the temperature is 20°C and one at the back where the temperature in 25.0°C. What is the beat frequency when the two organs sound this note simultaneously?
A) zero since it is the same note
B) 2.24 Hz
C) 31.2 Hz
D) 4.51 Hz

Question

Quizplus · Accepted Answer

The speed of sound in air increases with temperature, leading to a higher frequency for the organ in the warmer location. The beat frequency is the difference between the two frequencies. Given the temperature difference and the fundamental frequency, the calculation based on the formula for the speed of sound in air and its effect on frequency results in a beat frequency of 2.24 Hz.

There Are Two Identical Organs with Pipes Having Fundamental Frequencies