A 50.0 cm long organ pipe is filled with air at 10.0$^{\circ}$C and is open at both ends.The velocity of sound in air at 0.00$^{\circ}$C is 331 m/s.Another 50.0 cm long organ pipe is filled with air at 15.0$^{\circ}$C and is open at both ends.What is the beat frequency between the fundamental modes of the two organ pipes?

Question

Quizplus · Accepted Answer

The velocity of sound in air increases with temperature. For the first pipe at 10°C, the velocity is approximately 337.6 m/s, and for the second pipe at 15°C, it is approximately 340.3 m/s. The fundamental frequency is given by $ f = \frac{v}{2L} $. Calculating for both pipes and finding the difference gives a beat frequency of approximately 2.96 Hz.

A 500 Cm Long Organ Pipe Is Filled with Air at at 10.0