A 50.0 cm long organ pipe is filled with air and is open at both ends.The velocity of sound in air at 0$^{\circ}$C is 331 m/s.What is the frequency of the second mode?
A) 662 Hz
B) 621 Hz
C) 587 Hz
D) 562 Hz
E) 550 Hz

Question

Quizplus · Accepted Answer

The frequency of the second mode (first overtone) for an open pipe is given by $ f_2 = \frac{2v}{L} $. Here, $ v = 331 \, \text{m/s} $ and $ L = 0.5 \, \text{m} $. Thus, $ f_2 = \frac{2 \times 331}{0.5} = 662 \, \text{Hz} $.

A 500 Cm Long Organ Pipe Is Filled with Air and and Is