A 60.0 cm long organ pipe is filled with air and is open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the wavelength of the fundamental mode?
A) 115 cm
B) 120 cm
C) 131 cm
D) 142 cm
E) 167 cm

Question

Quizplus · Accepted Answer

The fundamental frequency of an organ pipe open at both ends corresponds to a standing wave with two antinodes and one node, which is half of a wavelength. Therefore, the length of the pipe is equal to half the wavelength of the fundamental mode. To find the wavelength ($\lambda$), we double the length of the pipe: $\lambda = 2 \times 60.0 \, \text{cm} = 120 \, \text{cm}$.

A 600 Cm Long Organ Pipe Is Filled with Air and and Is