For a certain organ pipe , three successive resonance frequencies are observed at 255 Hz, 425Hz, 595Hz respectively, then the pipe is

Options

A. A pipe closed at one end with fundamental frequency 85 Hz
B. Closed at one end with fundamental frequency 255Hz
C. Open at both the ends with fundamental frequency 85Hz
D. Open at both the ends with fundamental frequency 255Hz

Answer

A

Explanation

`n_3-n_2 = 595 - 425 = 170`
`n_2-n_1 = 425 - 255 = 170`
`n_2 -n_1 = 2n = 170 " " therefore n=85`
`n_2=3n=3xx85=255`
`n_3=5n=5xx85=425`
odd multiples of fundamental frequency