Final answer:
The fundamental frequency of the organ pipe is 75 Hz, and the sound speed is determined to be 300 m/s by using the third harmonic as a reference.
Step-by-step explanation:
The student's question relates to finding the fundamental frequency and sound speed for an organ pipe that is 1.12 m long with one open end, which has standing wave frequencies of 225 Hz and 375 Hz. As the next higher frequency is 375 Hz, this suggests that 225 Hz corresponds to the first overtone in such an open-closed pipe, and not the fundamental frequency. The first overtone is the third harmonic in an open-closed pipe, so the fundamental frequency (first harmonic) will be a third of 225 Hz, resulting in 75 Hz.
Next, we can determine the speed of sound by using the formula v = f × λ (sound speed = frequency × wavelength). The wavelength for the third harmonic (λ3) is 4 times the length of the pipe (L), that is λ3 = 4L. By substituting λ3 = (4 × 1.12 m) and f3 = 225 Hz into the formula, we can solve for v and find that the sound speed is 300 m/s.