A 20.0 cm long organ pipe is filled with air and is open at one end and closed at the other.The velocity of sound in air at 0$^{\circ}$C is 331 m/s.What is the frequency of the fundamental mode?
A) 414 Hz
B) 387 Hz
C) 345 Hz
D) 302 Hz
E) 295 Hz

Question

Quizplus · Accepted Answer

For an open-closed organ pipe, the fundamental frequency (f1) is given by:

f1 = (v/4L)

where v is the velocity of sound in air and L is the length of the pipe. Substituting the given values, we get:

f1 = (331 m/s)/(4 x 0.20 m) = 414 Hz

Therefore, the answer is choice A) 414 Hz.

A 200 Cm Long Organ Pipe Is Filled with Air and and Is