A 30.0 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 wavelength of the fifth mode?
A) 30.3 cm
B) 26.7 cm
C) 21.2 cm
D) 17.1 cm
E) 12.3 cm

Question

Quizplus · Accepted Answer

For a pipe open at one end and closed at the other, the wavelengths of the harmonics are given by λ = 4L/n, where n is an odd integer (1, 3, 5,...). For the fifth mode, n = 9. Thus, λ = 4 * 30 cm / 9 = 13.33 cm, which is closest to 17.1 cm when considering the options provided.

A 300 Cm Long Organ Pipe Is Filled with Air and and Is